GCF of 8696/949, 5064/4420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8696/949, 5064/4420 i.e 8/322660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8696/949, 5064/4420.
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 8696/949,5064/4420?
Given fractions are 8696/949,5064/4420
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 8696/949,5064/4420, numerators are 8696,5064
Denominators are 949,4420
The GCF of 8696,5064 is 8 .
LCM of 949,4420 is 322660.
The greatest common factor of 8696/949,5064/4420 = [GCF of 8696,5064]/[LCM of 949,4420]= 8/322660
Therefore, the GCF of 8696/949,5064/4420 is 8/322660.
To find the highest common factor of 8696,5064, we have to find the factors of both numbers and list the highest common factor.
The factors of 8696 are 1, 2, 4, 8, 1087, 2174, 4348, 8696
The factors of 5064 are 1, 2, 3, 4, 6, 8, 12, 24, 211, 422, 633, 844, 1266, 1688, 2532, 5064
The HCF of 8696,5064 is 8.
Lets's calculate GCF of 8696,5064
| 2 | 8696, 5064 |
| 2 | 4348, 2532 |
| 2 | 2174, 1266 |
| 1087, 633 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 8696,5064 By Matching Biggest Common Factor Method
Now, list down the factors of 8696
:1,2,4,8,1087,2174,4348,8696
Now, list down the factors of 5064
:1,2,3,4,6,8,12,24,211,422,633,844,1266,1688,2532,5064
Greatest Common Factor
We found the factors 8696,5064 . The biggest common factor number is the GCF number.
So the greatest common factor 8696,5064 is 8.
Lets's calculate LCM of 949,4420
| 13 | 949, 4420 |
| 73, 340 |
∴ So the LCM of the given numbers is 13 x 73 x 340 = 322660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/322660
Therefore, the GCF of Fractions 8696/949,5064/4420 is 8/322660
Least Common Multiple of 949,4420 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 949,4420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(949,4420) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(949,4420) x common factors =13 x 1 = 13
LCM(949,4420) = ( 949 × 4420 ) / 13
LCM(949,4420) = 4194580 / 13
LCM(949,4420) = 322660
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FAQs on GCF of Fractions of 8696/949, 5064/4420
1. What is the HCF of 8696,5064?
The HCF of 8696,5064 is 8
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 8696/949, 5064/4420?
Answer: GCF of Numerators as per given numbers 8696/949, 5064/4420 is
GCF of Numerators i.e. for 8696,5064 is 8
LCM of denominators i.e. for 949,4420 is 322660.
Thus, GCF of Fractions is 8/322660.Finally, GCF of Fractions for 8696/949, 5064/4420 is 8/322660.