To find the GCF of two numbers, you first need to break them down into their prime factors. For 140 and 252, these are:
140 = 2x2x5x7
252 = 2x2x3x3x7
The next step is to identify common prime factors. In this case, both numbers have two 2s and a 7 in their prime factors. To find the GCF, we simply multiply these common prime factors together:
2x2x7 = 28.
Thus the greatest common factor of 140 and 252 is 28.
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The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.The greatest common factor of 126, 210, and 252 is 42
The greatest common factor must be a factor of the smallest number. The smallest number is 7. Its factors are 1 and 7. So the greatest common factor must be either 1 or 7. Since 7 is the larger of the two factors, check whether it is a factor of the additional numbers. Since it is, 7 is the greatest common factor.
441 / 252 = 1 r 189 252 / 189 = 1 r 63 189 / 63 = 3 r 0 The hcf of 441 and 252 is 63
Well, let's paint a happy little picture with numbers! The LCM (Least Common Multiple) of 72 and 252 is 504, and the HCF (Highest Common Factor) is 36. These numbers are like colors on our palette, each serving a unique purpose in our mathematical landscape. Just remember, there are no mistakes in math, only happy little miscalculations waiting to be corrected.
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