GCF of 637/532, 728/391
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 637/532, 728/391 i.e 91/208012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 637/532, 728/391.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 637/532,728/391?
Given fractions are 637/532,728/391
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 637/532,728/391, numerators are 637,728
Denominators are 532,391
The GCF of 637,728 is 91 .
LCM of 532,391 is 208012.
The greatest common factor of 637/532,728/391 = [GCF of 637,728]/[LCM of 532,391]= 91/208012
Therefore, the GCF of 637/532,728/391 is 91/208012.
To find the highest common factor of 637,728, we have to find the factors of both numbers and list the highest common factor.
The factors of 637 are 1, 7, 13, 49, 91, 637
The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
The HCF of 637,728 is 91.
Lets's calculate GCF of 637,728
| 7 | 637, 728 |
| 13 | 91, 104 |
| 7, 8 |
∴ So the GCF of the given numbers is 7 x 13 = 91
Greatest Common Factor of 637,728 By Matching Biggest Common Factor Method
Now, list down the factors of 637
:1,7,13,49,91,637
Now, list down the factors of 728
:1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 637,728 . The biggest common factor number is the GCF number.
So the greatest common factor 637,728 is 91.
Lets's calculate LCM of 532,391
Given numbers has no common factors except 1. So, there LCM is their product i.e 208012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 91/208012
Therefore, the GCF of Fractions 637/532,728/391 is 91/208012
Least Common Multiple of 532,391 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 532,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(532,391) x common factors =1 x 1 = 1
LCM(532,391) = ( 532 × 391 ) / 1
LCM(532,391) = 208012 / 1
LCM(532,391) = 208012
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FAQs on GCF of Fractions of 637/532, 728/391
1. What is the HCF of 637,728?
The HCF of 637,728 is 91
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 637/532, 728/391?
Answer: GCF of Numerators as per given numbers 637/532, 728/391 is
GCF of Numerators i.e. for 637,728 is 91
LCM of denominators i.e. for 532,391 is 208012.
Thus, GCF of Fractions is 91/208012.Finally, GCF of Fractions for 637/532, 728/391 is 91/208012.