Gcf Of 10 And 36
The question "What is the LCM and GCF of 10 and 36?" can be split into two questions: "What is the LCM of 10 and 36?" and "What is the GCF of 10 and 36?"
In the question "What is the LCM and GCF of 10 and 36?", LCM is the abbreviation of Least Mutual Multiple and GCF is the abbreviation of Greatest Mutual Cistron.
To find the LCM, nosotros beginning list the multiples of 10 and 36 and then nosotros find the smallest multiple they have in common. To find the multiples of any number, y'all just multiply the number past 1, then by 2, then past 3 and and then on. Here is the offset list of multiples of 10 and 36:
Multiples of 10: 10, xx, xxx, 40, l, 60, etc.
Multiples of 36: 36, 72, 108, 144, 180, 216, etc.
The to the lowest degree multiple on the two lists that they have in common is the LCM of 10 and 36. Therefore, the LCM of 10 and 36 is 180.
To discover the GCF, we first list the factors of x and 36 and then nosotros find the largest factor they have in common. The factors of any number, are all the numbers that you can evenly divide into that number.
In other words, the factors of x are all the numbers that can evenly divide into 10, and the factors of 36 are all the numbers that can evenly dissever into 36. Here are the factors for x and 36:
Factors of 10: 1, ii, five, and 10.
Factors of 36: 1, ii, 3, 4, 6, nine, 12, 18, and 36.
The greatest cistron on the 2 lists that they have in mutual is the GCF of 10 and 36. Therefore, the GCF of 10 and 36 is 2.
In summary, the answer to the question "What is the LCM and GCF of ten and 36?" is
180 and 2.
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