GCF of 7924/157, 6524/167
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7924/157, 6524/167 i.e 28/26219 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7924/157, 6524/167.
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 7924/157,6524/167?
Given fractions are 7924/157,6524/167
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 7924/157,6524/167, numerators are 7924,6524
Denominators are 157,167
The GCF of 7924,6524 is 28 .
LCM of 157,167 is 26219.
The greatest common factor of 7924/157,6524/167 = [GCF of 7924,6524]/[LCM of 157,167]= 28/26219
Therefore, the GCF of 7924/157,6524/167 is 28/26219.
To find the highest common factor of 7924,6524, we have to find the factors of both numbers and list the highest common factor.
The factors of 7924 are 1, 2, 4, 7, 14, 28, 283, 566, 1132, 1981, 3962, 7924
The factors of 6524 are 1, 2, 4, 7, 14, 28, 233, 466, 932, 1631, 3262, 6524
The HCF of 7924,6524 is 28.
Lets's calculate GCF of 7924,6524
| 2 | 7924, 6524 |
| 2 | 3962, 3262 |
| 7 | 1981, 1631 |
| 283, 233 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 7924,6524 By Matching Biggest Common Factor Method
Now, list down the factors of 7924
:1,2,4,7,14,28,283,566,1132,1981,3962,7924
Now, list down the factors of 6524
:1,2,4,7,14,28,233,466,932,1631,3262,6524
Greatest Common Factor
We found the factors 7924,6524 . The biggest common factor number is the GCF number.
So the greatest common factor 7924,6524 is 28.
Lets's calculate LCM of 157,167
Given numbers has no common factors except 1. So, there LCM is their product i.e 26219
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/26219
Therefore, the GCF of Fractions 7924/157,6524/167 is 28/26219
Least Common Multiple of 157,167 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 157,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,167) x common factors =1 x 1 = 1
LCM(157,167) = ( 157 × 167 ) / 1
LCM(157,167) = 26219 / 1
LCM(157,167) = 26219
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FAQs on GCF of Fractions of 7924/157, 6524/167
1. What is the HCF of 7924,6524?
The HCF of 7924,6524 is 28
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 7924/157, 6524/167?
Answer: GCF of Numerators as per given numbers 7924/157, 6524/167 is
GCF of Numerators i.e. for 7924,6524 is 28
LCM of denominators i.e. for 157,167 is 26219.
Thus, GCF of Fractions is 28/26219.Finally, GCF of Fractions for 7924/157, 6524/167 is 28/26219.