Greatest Common Factor of 63/625, 857/682, 716/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 63/625, 857/682, 716/310

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 63/625,857/682,716/310

Given fractions are 63/625,857/682,716/310

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 63,857,716

Greatest Common Factor of Numerators i.e. GCF of 63,857,716 is 1 .

LCM of Denominators means LCM of 625,682,310 as per the given fractions.

LCM of 625,682,310 is 426250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 63,857,716

GCF of Fractions 63/625,857/682,716/310 is 1/426250

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 63,857,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,857,716 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 63,857,716 . The biggest common factor number is the GCF number.
So the greatest common factor 63,857,716 is 1.

Lets's calculate LCM of 625,682,310

2 625, 682, 310
5 625, 341, 155
31 125, 341, 31
125, 11, 1

∴ So the LCM of the given numbers is 2 x 5 x 31 x 125 x 11 x 1 = 426250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/426250

Therefore, the GCF of Fractions 63/625,857/682,716/310 is 1/426250

Least Common Multiple of 625,682,310 with GCF Formula

Least Common Multiple of 625,682,310 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 625,682,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,682,310) = 1

common factors(in case of two or more numbers have common factors) = 310

GCF(625,682,310) x common factors =1 x 310 = 310

LCM(625,682,310) = ( 625 × 682 × 310 ) / 310

LCM(625,682,310) = 132137500 / 310

LCM(625,682,310) = 426250


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 63/625, 857/682, 716/310

1. 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.

2. What is the GCF of Fractions for 63/625, 857/682, 716/310?

Answer: GCF of Numerators as per given numbers 63/625, 857/682, 716/310 is

GCF of Numerators i.e. for 63,857,716 is 1

LCM of denominators i.e. for 625,682,310 is 426250.

Thus, GCF of Fractions is 1/426250.Finally, GCF of Fractions for 63/625, 857/682, 716/310 is 1/426250.