GCF of 7631/792, 6548/7484
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7631/792, 6548/7484 i.e 1/1481832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7631/792, 6548/7484.
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 7631/792,6548/7484?
Given fractions are 7631/792,6548/7484
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 7631/792,6548/7484, numerators are 7631,6548
Denominators are 792,7484
The GCF of 7631,6548 is 1 .
LCM of 792,7484 is 1481832.
The greatest common factor of 7631/792,6548/7484 = [GCF of 7631,6548]/[LCM of 792,7484]= 1/1481832
Therefore, the GCF of 7631/792,6548/7484 is 1/1481832.
To find the highest common factor of 7631,6548, we have to find the factors of both numbers and list the highest common factor.
The factors of 7631 are 1, 13, 587, 7631
The factors of 6548 are 1, 2, 4, 1637, 3274, 6548
The HCF of 7631,6548 is 1.
Lets's calculate GCF of 7631,6548
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7631,6548 By Matching Biggest Common Factor Method
Now, list down the factors of 7631
:1,13,587,7631
Now, list down the factors of 6548
:1,2,4,1637,3274,6548
Greatest Common Factor
We found the factors 7631,6548 . The biggest common factor number is the GCF number.
So the greatest common factor 7631,6548 is 1.
Lets's calculate LCM of 792,7484
| 2 | 792, 7484 |
| 2 | 396, 3742 |
| 198, 1871 |
∴ So the LCM of the given numbers is 2 x 2 x 198 x 1871 = 1481832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1481832
Therefore, the GCF of Fractions 7631/792,6548/7484 is 1/1481832
Least Common Multiple of 792,7484 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 792,7484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,7484) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(792,7484) x common factors =4 x 1 = 4
LCM(792,7484) = ( 792 × 7484 ) / 4
LCM(792,7484) = 5927328 / 4
LCM(792,7484) = 1481832
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FAQs on GCF of Fractions of 7631/792, 6548/7484
1. What is the HCF of 7631,6548?
The HCF of 7631,6548 is 1
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 7631/792, 6548/7484?
Answer: GCF of Numerators as per given numbers 7631/792, 6548/7484 is
GCF of Numerators i.e. for 7631,6548 is 1
LCM of denominators i.e. for 792,7484 is 1481832.
Thus, GCF of Fractions is 1/1481832.Finally, GCF of Fractions for 7631/792, 6548/7484 is 1/1481832.