GCF of 6079/865, 8696/280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6079/865, 8696/280 i.e 1/48440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6079/865, 8696/280.
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 6079/865,8696/280?
Given fractions are 6079/865,8696/280
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 6079/865,8696/280, numerators are 6079,8696
Denominators are 865,280
The GCF of 6079,8696 is 1 .
LCM of 865,280 is 48440.
The greatest common factor of 6079/865,8696/280 = [GCF of 6079,8696]/[LCM of 865,280]= 1/48440
Therefore, the GCF of 6079/865,8696/280 is 1/48440.
To find the highest common factor of 6079,8696, we have to find the factors of both numbers and list the highest common factor.
The factors of 6079 are 1, 6079
The factors of 8696 are 1, 2, 4, 8, 1087, 2174, 4348, 8696
The HCF of 6079,8696 is 1.
Lets's calculate GCF of 6079,8696
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6079,8696 By Matching Biggest Common Factor Method
Now, list down the factors of 6079
:1,6079
Now, list down the factors of 8696
:1,2,4,8,1087,2174,4348,8696
Greatest Common Factor
We found the factors 6079,8696 . The biggest common factor number is the GCF number.
So the greatest common factor 6079,8696 is 1.
Lets's calculate LCM of 865,280
| 5 | 865, 280 |
| 173, 56 |
∴ So the LCM of the given numbers is 5 x 173 x 56 = 48440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48440
Therefore, the GCF of Fractions 6079/865,8696/280 is 1/48440
Least Common Multiple of 865,280 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 865,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,280) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(865,280) x common factors =5 x 1 = 5
LCM(865,280) = ( 865 × 280 ) / 5
LCM(865,280) = 242200 / 5
LCM(865,280) = 48440
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FAQs on GCF of Fractions of 6079/865, 8696/280
1. What is the HCF of 6079,8696?
The HCF of 6079,8696 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 6079/865, 8696/280?
Answer: GCF of Numerators as per given numbers 6079/865, 8696/280 is
GCF of Numerators i.e. for 6079,8696 is 1
LCM of denominators i.e. for 865,280 is 48440.
Thus, GCF of Fractions is 1/48440.Finally, GCF of Fractions for 6079/865, 8696/280 is 1/48440.