Greatest Common Factor of 778/628, 226/239, 891/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 778/628, 226/239, 891/428

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 778/628,226/239,891/428

Given fractions are 778/628,226/239,891/428

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 778,226,891

Greatest Common Factor of Numerators i.e. GCF of 778,226,891 is 1 .

LCM of Denominators means LCM of 628,239,428 as per the given fractions.

LCM of 628,239,428 is 16059844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 778,226,891

GCF of Fractions 778/628,226/239,891/428 is 1/16059844

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

Greatest Common Factor of 778,226,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 778,226,891 By Matching Biggest Common Factor Method

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 778,226,891 . The biggest common factor number is the GCF number.
So the greatest common factor 778,226,891 is 1.

Lets's calculate LCM of 628,239,428

2 628, 239, 428
2 314, 239, 214
157, 239, 107

∴ So the LCM of the given numbers is 2 x 2 x 157 x 239 x 107 = 16059844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16059844

Therefore, the GCF of Fractions 778/628,226/239,891/428 is 1/16059844

Least Common Multiple of 628,239,428 with GCF Formula

Least Common Multiple of 628,239,428 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 628,239,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,239,428) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(628,239,428) x common factors =1 x 4 = 4

LCM(628,239,428) = ( 628 × 239 × 428 ) / 4

LCM(628,239,428) = 64239376 / 4

LCM(628,239,428) = 16059844


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 778/628, 226/239, 891/428

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 778/628, 226/239, 891/428?

Answer: GCF of Numerators as per given numbers 778/628, 226/239, 891/428 is

GCF of Numerators i.e. for 778,226,891 is 1

LCM of denominators i.e. for 628,239,428 is 16059844.

Thus, GCF of Fractions is 1/16059844.Finally, GCF of Fractions for 778/628, 226/239, 891/428 is 1/16059844.