GCF of 7971/502, 6567/7482
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7971/502, 6567/7482 i.e 3/1877982 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7971/502, 6567/7482.
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 7971/502,6567/7482?
Given fractions are 7971/502,6567/7482
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 7971/502,6567/7482, numerators are 7971,6567
Denominators are 502,7482
The GCF of 7971,6567 is 3 .
LCM of 502,7482 is 1877982.
The greatest common factor of 7971/502,6567/7482 = [GCF of 7971,6567]/[LCM of 502,7482]= 3/1877982
Therefore, the GCF of 7971/502,6567/7482 is 3/1877982.
To find the highest common factor of 7971,6567, we have to find the factors of both numbers and list the highest common factor.
The factors of 7971 are 1, 3, 2657, 7971
The factors of 6567 are 1, 3, 11, 33, 199, 597, 2189, 6567
The HCF of 7971,6567 is 3.
Lets's calculate GCF of 7971,6567
| 3 | 7971, 6567 |
| 2657, 2189 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7971,6567 By Matching Biggest Common Factor Method
Now, list down the factors of 7971
:1,3,2657,7971
Now, list down the factors of 6567
:1,3,11,33,199,597,2189,6567
Greatest Common Factor
We found the factors 7971,6567 . The biggest common factor number is the GCF number.
So the greatest common factor 7971,6567 is 3.
Lets's calculate LCM of 502,7482
| 2 | 502, 7482 |
| 251, 3741 |
∴ So the LCM of the given numbers is 2 x 251 x 3741 = 1877982
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1877982
Therefore, the GCF of Fractions 7971/502,6567/7482 is 3/1877982
Least Common Multiple of 502,7482 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 502,7482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,7482) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(502,7482) x common factors =2 x 1 = 2
LCM(502,7482) = ( 502 × 7482 ) / 2
LCM(502,7482) = 3755964 / 2
LCM(502,7482) = 1877982
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FAQs on GCF of Fractions of 7971/502, 6567/7482
1. What is the HCF of 7971,6567?
The HCF of 7971,6567 is 3
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 7971/502, 6567/7482?
Answer: GCF of Numerators as per given numbers 7971/502, 6567/7482 is
GCF of Numerators i.e. for 7971,6567 is 3
LCM of denominators i.e. for 502,7482 is 1877982.
Thus, GCF of Fractions is 3/1877982.Finally, GCF of Fractions for 7971/502, 6567/7482 is 3/1877982.