GCF of 631/763, 7572/564
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 631/763, 7572/564 i.e 631/430332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 631/763, 7572/564.
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 631/763,7572/564?
Given fractions are 631/763,7572/564
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 631/763,7572/564, numerators are 631,7572
Denominators are 763,564
The GCF of 631,7572 is 631 .
LCM of 763,564 is 430332.
The greatest common factor of 631/763,7572/564 = [GCF of 631,7572]/[LCM of 763,564]= 631/430332
Therefore, the GCF of 631/763,7572/564 is 631/430332.
To find the highest common factor of 631,7572, we have to find the factors of both numbers and list the highest common factor.
The factors of 631 are 1, 631
The factors of 7572 are 1, 2, 3, 4, 6, 12, 631, 1262, 1893, 2524, 3786, 7572
The HCF of 631,7572 is 631.
Lets's calculate GCF of 631,7572
| 631 | 631, 7572 |
| 1, 12 |
∴ So the GCF of the given numbers is 631 = 631
Greatest Common Factor of 631,7572 By Matching Biggest Common Factor Method
Now, list down the factors of 631
:1,631
Now, list down the factors of 7572
:1,2,3,4,6,12,631,1262,1893,2524,3786,7572
Greatest Common Factor
We found the factors 631,7572 . The biggest common factor number is the GCF number.
So the greatest common factor 631,7572 is 631.
Lets's calculate LCM of 763,564
Given numbers has no common factors except 1. So, there LCM is their product i.e 430332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 631/430332
Therefore, the GCF of Fractions 631/763,7572/564 is 631/430332
Least Common Multiple of 763,564 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 763,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,564) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(763,564) x common factors =1 x 1 = 1
LCM(763,564) = ( 763 × 564 ) / 1
LCM(763,564) = 430332 / 1
LCM(763,564) = 430332
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FAQs on GCF of Fractions of 631/763, 7572/564
1. What is the HCF of 631,7572?
The HCF of 631,7572 is 631
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 631/763, 7572/564?
Answer: GCF of Numerators as per given numbers 631/763, 7572/564 is
GCF of Numerators i.e. for 631,7572 is 631
LCM of denominators i.e. for 763,564 is 430332.
Thus, GCF of Fractions is 631/430332.Finally, GCF of Fractions for 631/763, 7572/564 is 631/430332.