GCF of 8494/251, 5736/4210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8494/251, 5736/4210 i.e 2/1056710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8494/251, 5736/4210.
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 8494/251,5736/4210?
Given fractions are 8494/251,5736/4210
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 8494/251,5736/4210, numerators are 8494,5736
Denominators are 251,4210
The GCF of 8494,5736 is 2 .
LCM of 251,4210 is 1056710.
The greatest common factor of 8494/251,5736/4210 = [GCF of 8494,5736]/[LCM of 251,4210]= 2/1056710
Therefore, the GCF of 8494/251,5736/4210 is 2/1056710.
To find the highest common factor of 8494,5736, we have to find the factors of both numbers and list the highest common factor.
The factors of 8494 are 1, 2, 31, 62, 137, 274, 4247, 8494
The factors of 5736 are 1, 2, 3, 4, 6, 8, 12, 24, 239, 478, 717, 956, 1434, 1912, 2868, 5736
The HCF of 8494,5736 is 2.
Lets's calculate GCF of 8494,5736
| 2 | 8494, 5736 |
| 4247, 2868 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8494,5736 By Matching Biggest Common Factor Method
Now, list down the factors of 8494
:1,2,31,62,137,274,4247,8494
Now, list down the factors of 5736
:1,2,3,4,6,8,12,24,239,478,717,956,1434,1912,2868,5736
Greatest Common Factor
We found the factors 8494,5736 . The biggest common factor number is the GCF number.
So the greatest common factor 8494,5736 is 2.
Lets's calculate LCM of 251,4210
Given numbers has no common factors except 1. So, there LCM is their product i.e 1056710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1056710
Therefore, the GCF of Fractions 8494/251,5736/4210 is 2/1056710
Least Common Multiple of 251,4210 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 251,4210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(251,4210) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(251,4210) x common factors =1 x 1 = 1
LCM(251,4210) = ( 251 × 4210 ) / 1
LCM(251,4210) = 1056710 / 1
LCM(251,4210) = 1056710
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FAQs on GCF of Fractions of 8494/251, 5736/4210
1. What is the HCF of 8494,5736?
The HCF of 8494,5736 is 2
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 8494/251, 5736/4210?
Answer: GCF of Numerators as per given numbers 8494/251, 5736/4210 is
GCF of Numerators i.e. for 8494,5736 is 2
LCM of denominators i.e. for 251,4210 is 1056710.
Thus, GCF of Fractions is 2/1056710.Finally, GCF of Fractions for 8494/251, 5736/4210 is 2/1056710.