GCF of 6857/687, 5294/351
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6857/687, 5294/351 i.e 1/80379 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6857/687, 5294/351.
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 6857/687,5294/351?
Given fractions are 6857/687,5294/351
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 6857/687,5294/351, numerators are 6857,5294
Denominators are 687,351
The GCF of 6857,5294 is 1 .
LCM of 687,351 is 80379.
The greatest common factor of 6857/687,5294/351 = [GCF of 6857,5294]/[LCM of 687,351]= 1/80379
Therefore, the GCF of 6857/687,5294/351 is 1/80379.
To find the highest common factor of 6857,5294, we have to find the factors of both numbers and list the highest common factor.
The factors of 6857 are 1, 6857
The factors of 5294 are 1, 2, 2647, 5294
The HCF of 6857,5294 is 1.
Lets's calculate GCF of 6857,5294
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6857,5294 By Matching Biggest Common Factor Method
Now, list down the factors of 6857
:1,6857
Now, list down the factors of 5294
:1,2,2647,5294
Greatest Common Factor
We found the factors 6857,5294 . The biggest common factor number is the GCF number.
So the greatest common factor 6857,5294 is 1.
Lets's calculate LCM of 687,351
| 3 | 687, 351 |
| 229, 117 |
∴ So the LCM of the given numbers is 3 x 229 x 117 = 80379
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80379
Therefore, the GCF of Fractions 6857/687,5294/351 is 1/80379
Least Common Multiple of 687,351 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 687,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,351) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(687,351) x common factors =3 x 1 = 3
LCM(687,351) = ( 687 × 351 ) / 3
LCM(687,351) = 241137 / 3
LCM(687,351) = 80379
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6857/687, 5294/351
1. What is the HCF of 6857,5294?
The HCF of 6857,5294 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 6857/687, 5294/351?
Answer: GCF of Numerators as per given numbers 6857/687, 5294/351 is
GCF of Numerators i.e. for 6857,5294 is 1
LCM of denominators i.e. for 687,351 is 80379.
Thus, GCF of Fractions is 1/80379.Finally, GCF of Fractions for 6857/687, 5294/351 is 1/80379.