GCF of 8719/402, 7504/379
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8719/402, 7504/379 i.e 1/152358 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8719/402, 7504/379.
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 8719/402,7504/379?
Given fractions are 8719/402,7504/379
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 8719/402,7504/379, numerators are 8719,7504
Denominators are 402,379
The GCF of 8719,7504 is 1 .
LCM of 402,379 is 152358.
The greatest common factor of 8719/402,7504/379 = [GCF of 8719,7504]/[LCM of 402,379]= 1/152358
Therefore, the GCF of 8719/402,7504/379 is 1/152358.
To find the highest common factor of 8719,7504, we have to find the factors of both numbers and list the highest common factor.
The factors of 8719 are 1, 8719
The factors of 7504 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 67, 112, 134, 268, 469, 536, 938, 1072, 1876, 3752, 7504
The HCF of 8719,7504 is 1.
Lets's calculate GCF of 8719,7504
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8719,7504 By Matching Biggest Common Factor Method
Now, list down the factors of 8719
:1,8719
Now, list down the factors of 7504
:1,2,4,7,8,14,16,28,56,67,112,134,268,469,536,938,1072,1876,3752,7504
Greatest Common Factor
We found the factors 8719,7504 . The biggest common factor number is the GCF number.
So the greatest common factor 8719,7504 is 1.
Lets's calculate LCM of 402,379
Given numbers has no common factors except 1. So, there LCM is their product i.e 152358
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152358
Therefore, the GCF of Fractions 8719/402,7504/379 is 1/152358
Least Common Multiple of 402,379 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 402,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(402,379) x common factors =1 x 1 = 1
LCM(402,379) = ( 402 × 379 ) / 1
LCM(402,379) = 152358 / 1
LCM(402,379) = 152358
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FAQs on GCF of Fractions of 8719/402, 7504/379
1. What is the HCF of 8719,7504?
The HCF of 8719,7504 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 8719/402, 7504/379?
Answer: GCF of Numerators as per given numbers 8719/402, 7504/379 is
GCF of Numerators i.e. for 8719,7504 is 1
LCM of denominators i.e. for 402,379 is 152358.
Thus, GCF of Fractions is 1/152358.Finally, GCF of Fractions for 8719/402, 7504/379 is 1/152358.