GCF of 8479/589, 6126/132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8479/589, 6126/132 i.e 1/77748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8479/589, 6126/132.
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 8479/589,6126/132?
Given fractions are 8479/589,6126/132
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 8479/589,6126/132, numerators are 8479,6126
Denominators are 589,132
The GCF of 8479,6126 is 1 .
LCM of 589,132 is 77748.
The greatest common factor of 8479/589,6126/132 = [GCF of 8479,6126]/[LCM of 589,132]= 1/77748
Therefore, the GCF of 8479/589,6126/132 is 1/77748.
To find the highest common factor of 8479,6126, we have to find the factors of both numbers and list the highest common factor.
The factors of 8479 are 1, 61, 139, 8479
The factors of 6126 are 1, 2, 3, 6, 1021, 2042, 3063, 6126
The HCF of 8479,6126 is 1.
Lets's calculate GCF of 8479,6126
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8479,6126 By Matching Biggest Common Factor Method
Now, list down the factors of 8479
:1,61,139,8479
Now, list down the factors of 6126
:1,2,3,6,1021,2042,3063,6126
Greatest Common Factor
We found the factors 8479,6126 . The biggest common factor number is the GCF number.
So the greatest common factor 8479,6126 is 1.
Lets's calculate LCM of 589,132
Given numbers has no common factors except 1. So, there LCM is their product i.e 77748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77748
Therefore, the GCF of Fractions 8479/589,6126/132 is 1/77748
Least Common Multiple of 589,132 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 589,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,132) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,132) x common factors =1 x 1 = 1
LCM(589,132) = ( 589 × 132 ) / 1
LCM(589,132) = 77748 / 1
LCM(589,132) = 77748
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FAQs on GCF of Fractions of 8479/589, 6126/132
1. What is the HCF of 8479,6126?
The HCF of 8479,6126 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 8479/589, 6126/132?
Answer: GCF of Numerators as per given numbers 8479/589, 6126/132 is
GCF of Numerators i.e. for 8479,6126 is 1
LCM of denominators i.e. for 589,132 is 77748.
Thus, GCF of Fractions is 1/77748.Finally, GCF of Fractions for 8479/589, 6126/132 is 1/77748.