Greatest Common Factor of 876/305, 574/456, 250/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 876/305, 574/456, 250/763

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 876/305,574/456,250/763

Given fractions are 876/305,574/456,250/763

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 876,574,250

Greatest Common Factor of Numerators i.e. GCF of 876,574,250 is 2 .

LCM of Denominators means LCM of 305,456,763 as per the given fractions.

LCM of 305,456,763 is 106118040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 876,574,250

GCF of Fractions 876/305,574/456,250/763 is 2/106118040

2 876, 574, 250
438, 287, 125

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 876,574,250 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,574,250 By Matching Biggest Common Factor Method

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors 876,574,250 . The biggest common factor number is the GCF number.
So the greatest common factor 876,574,250 is 2.

Lets's calculate LCM of 305,456,763

Given numbers has no common factors except 1. So, there LCM is their product i.e 106118040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/106118040

Therefore, the GCF of Fractions 876/305,574/456,250/763 is 2/106118040

Least Common Multiple of 305,456,763 with GCF Formula

Least Common Multiple of 305,456,763 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 305,456,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,456,763) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(305,456,763) x common factors =1 x 1 = 1

LCM(305,456,763) = ( 305 × 456 × 763 ) / 1

LCM(305,456,763) = 106118040 / 1

LCM(305,456,763) = 106118040


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 876/305, 574/456, 250/763

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 876/305, 574/456, 250/763?

Answer: GCF of Numerators as per given numbers 876/305, 574/456, 250/763 is

GCF of Numerators i.e. for 876,574,250 is 2

LCM of denominators i.e. for 305,456,763 is 106118040.

Thus, GCF of Fractions is 2/106118040.Finally, GCF of Fractions for 876/305, 574/456, 250/763 is 2/106118040.