Greatest Common Factor of 880/392, 766/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 880/392, 766/574

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 880/392,766/574

Given fractions are 880/392,766/574

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 880,766

Greatest Common Factor of Numerators i.e. GCF of 880,766 is 2 .

LCM of Denominators means LCM of 392,574 as per the given fractions.

LCM of 392,574 is 16072 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 880,766

GCF of Fractions 880/392,766/574 is 2/16072

2 880, 766
440, 383

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

Greatest Common Factor of 880,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 880,766 By Matching Biggest Common Factor Method

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 880,766 . The biggest common factor number is the GCF number.
So the greatest common factor 880,766 is 2.

Lets's calculate LCM of 392,574

2 392, 574
7 196, 287
28, 41

∴ So the LCM of the given numbers is 2 x 7 x 28 x 41 = 16072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16072

Therefore, the GCF of Fractions 880/392,766/574 is 2/16072

Least Common Multiple of 392,574 with GCF Formula

Least Common Multiple of 392,574 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 392,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,574) = 14

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

GCF(392,574) x common factors =14 x 1 = 14

LCM(392,574) = ( 392 × 574 ) / 14

LCM(392,574) = 225008 / 14

LCM(392,574) = 16072


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 880/392, 766/574

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 880/392, 766/574?

Answer: GCF of Numerators as per given numbers 880/392, 766/574 is

GCF of Numerators i.e. for 880,766 is 2

LCM of denominators i.e. for 392,574 is 16072.

Thus, GCF of Fractions is 2/16072.Finally, GCF of Fractions for 880/392, 766/574 is 2/16072.