GCF of 5891/579, 9179/8065
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5891/579, 9179/8065 i.e 137/4669635 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5891/579, 9179/8065.
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 5891/579,9179/8065?
Given fractions are 5891/579,9179/8065
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 5891/579,9179/8065, numerators are 5891,9179
Denominators are 579,8065
The GCF of 5891,9179 is 137 .
LCM of 579,8065 is 4669635.
The greatest common factor of 5891/579,9179/8065 = [GCF of 5891,9179]/[LCM of 579,8065]= 137/4669635
Therefore, the GCF of 5891/579,9179/8065 is 137/4669635.
To find the highest common factor of 5891,9179, we have to find the factors of both numbers and list the highest common factor.
The factors of 5891 are 1, 43, 137, 5891
The factors of 9179 are 1, 67, 137, 9179
The HCF of 5891,9179 is 137.
Lets's calculate GCF of 5891,9179
| 137 | 5891, 9179 |
| 43, 67 |
∴ So the GCF of the given numbers is 137 = 137
Greatest Common Factor of 5891,9179 By Matching Biggest Common Factor Method
Now, list down the factors of 5891
:1,43,137,5891
Now, list down the factors of 9179
:1,67,137,9179
Greatest Common Factor
We found the factors 5891,9179 . The biggest common factor number is the GCF number.
So the greatest common factor 5891,9179 is 137.
Lets's calculate LCM of 579,8065
Given numbers has no common factors except 1. So, there LCM is their product i.e 4669635
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 137/4669635
Therefore, the GCF of Fractions 5891/579,9179/8065 is 137/4669635
Least Common Multiple of 579,8065 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 579,8065 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,8065) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(579,8065) x common factors =1 x 1 = 1
LCM(579,8065) = ( 579 × 8065 ) / 1
LCM(579,8065) = 4669635 / 1
LCM(579,8065) = 4669635
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5891/579, 9179/8065
1. What is the HCF of 5891,9179?
The HCF of 5891,9179 is 137
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 5891/579, 9179/8065?
Answer: GCF of Numerators as per given numbers 5891/579, 9179/8065 is
GCF of Numerators i.e. for 5891,9179 is 137
LCM of denominators i.e. for 579,8065 is 4669635.
Thus, GCF of Fractions is 137/4669635.Finally, GCF of Fractions for 5891/579, 9179/8065 is 137/4669635.