GCF of 637/532, 481/392
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, 481/392 i.e 13/7448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 637/532, 481/392.
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 637/532,481/392?
Given fractions are 637/532,481/392
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 637/532,481/392, numerators are 637,481
Denominators are 532,392
The GCF of 637,481 is 13 .
LCM of 532,392 is 7448.
The greatest common factor of 637/532,481/392 = [GCF of 637,481]/[LCM of 532,392]= 13/7448
Therefore, the GCF of 637/532,481/392 is 13/7448.
To find the highest common factor of 637,481, 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 481 are 1, 13, 37, 481
The HCF of 637,481 is 13.
Lets's calculate GCF of 637,481
| 13 | 637, 481 |
| 49, 37 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 637,481 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 481
:1,13,37,481
Greatest Common Factor
We found the factors 637,481 . The biggest common factor number is the GCF number.
So the greatest common factor 637,481 is 13.
Lets's calculate LCM of 532,392
| 2 | 532, 392 |
| 2 | 266, 196 |
| 7 | 133, 98 |
| 19, 14 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 19 x 14 = 7448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/7448
Therefore, the GCF of Fractions 637/532,481/392 is 13/7448
Least Common Multiple of 532,392 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 532,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,392) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(532,392) x common factors =28 x 1 = 28
LCM(532,392) = ( 532 × 392 ) / 28
LCM(532,392) = 208544 / 28
LCM(532,392) = 7448
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FAQs on GCF of Fractions of 637/532, 481/392
1. What is the HCF of 637,481?
The HCF of 637,481 is 13
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, 481/392?
Answer: GCF of Numerators as per given numbers 637/532, 481/392 is
GCF of Numerators i.e. for 637,481 is 13
LCM of denominators i.e. for 532,392 is 7448.
Thus, GCF of Fractions is 13/7448.Finally, GCF of Fractions for 637/532, 481/392 is 13/7448.