Greatest Common Factor of 778/954, 1070/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 778/954, 1070/460

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 778/954,1070/460

Given fractions are 778/954,1070/460

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 778,1070

Greatest Common Factor of Numerators i.e. GCF of 778,1070 is 2 .

LCM of Denominators means LCM of 954,460 as per the given fractions.

LCM of 954,460 is 219420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 778,1070

GCF of Fractions 778/954,1070/460 is 2/219420

2 778, 1070
389, 535

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

Greatest Common Factor of 778,1070 By Matching Biggest Common Factor Method

Greatest Common Factor of 778,1070 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 1070

List of positive integer factors of 1070 that divides 1070 without a remainder.

1,2,5,10,107,214,535,1070

Greatest Common Factor

We found the factors 778,1070 . The biggest common factor number is the GCF number.
So the greatest common factor 778,1070 is 2.

Lets's calculate LCM of 954,460

2 954, 460
477, 230

∴ So the LCM of the given numbers is 2 x 477 x 230 = 219420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/219420

Therefore, the GCF of Fractions 778/954,1070/460 is 2/219420

Least Common Multiple of 954,460 with GCF Formula

Least Common Multiple of 954,460 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 954,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(954,460) = 2

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

GCF(954,460) x common factors =2 x 1 = 2

LCM(954,460) = ( 954 × 460 ) / 2

LCM(954,460) = 438840 / 2

LCM(954,460) = 219420


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 778/954, 1070/460

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 778/954, 1070/460?

Answer: GCF of Numerators as per given numbers 778/954, 1070/460 is

GCF of Numerators i.e. for 778,1070 is 2

LCM of denominators i.e. for 954,460 is 219420.

Thus, GCF of Fractions is 2/219420.Finally, GCF of Fractions for 778/954, 1070/460 is 2/219420.