GCF of 6376/254, 8730/5486
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6376/254, 8730/5486 i.e 2/696722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6376/254, 8730/5486.
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 6376/254,8730/5486?
Given fractions are 6376/254,8730/5486
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 6376/254,8730/5486, numerators are 6376,8730
Denominators are 254,5486
The GCF of 6376,8730 is 2 .
LCM of 254,5486 is 696722.
The greatest common factor of 6376/254,8730/5486 = [GCF of 6376,8730]/[LCM of 254,5486]= 2/696722
Therefore, the GCF of 6376/254,8730/5486 is 2/696722.
To find the highest common factor of 6376,8730, we have to find the factors of both numbers and list the highest common factor.
The factors of 6376 are 1, 2, 4, 8, 797, 1594, 3188, 6376
The factors of 8730 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 97, 194, 291, 485, 582, 873, 970, 1455, 1746, 2910, 4365, 8730
The HCF of 6376,8730 is 2.
Lets's calculate GCF of 6376,8730
| 2 | 6376, 8730 |
| 3188, 4365 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6376,8730 By Matching Biggest Common Factor Method
Now, list down the factors of 6376
:1,2,4,8,797,1594,3188,6376
Now, list down the factors of 8730
:1,2,3,5,6,9,10,15,18,30,45,90,97,194,291,485,582,873,970,1455,1746,2910,4365,8730
Greatest Common Factor
We found the factors 6376,8730 . The biggest common factor number is the GCF number.
So the greatest common factor 6376,8730 is 2.
Lets's calculate LCM of 254,5486
| 2 | 254, 5486 |
| 127, 2743 |
∴ So the LCM of the given numbers is 2 x 127 x 2743 = 696722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/696722
Therefore, the GCF of Fractions 6376/254,8730/5486 is 2/696722
Least Common Multiple of 254,5486 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 254,5486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,5486) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(254,5486) x common factors =2 x 1 = 2
LCM(254,5486) = ( 254 × 5486 ) / 2
LCM(254,5486) = 1393444 / 2
LCM(254,5486) = 696722
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FAQs on GCF of Fractions of 6376/254, 8730/5486
1. What is the HCF of 6376,8730?
The HCF of 6376,8730 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 6376/254, 8730/5486?
Answer: GCF of Numerators as per given numbers 6376/254, 8730/5486 is
GCF of Numerators i.e. for 6376,8730 is 2
LCM of denominators i.e. for 254,5486 is 696722.
Thus, GCF of Fractions is 2/696722.Finally, GCF of Fractions for 6376/254, 8730/5486 is 2/696722.