Greatest Common Factor of 778/460, 186/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 778/460, 186/920

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 778/460,186/920

Given fractions are 778/460,186/920

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 778,186

Greatest Common Factor of Numerators i.e. GCF of 778,186 is 2 .

LCM of Denominators means LCM of 460,920 as per the given fractions.

LCM of 460,920 is 920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 778,186

GCF of Fractions 778/460,186/920 is 2/920

2 778, 186
389, 93

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

Greatest Common Factor of 778,186 By Matching Biggest Common Factor Method

Greatest Common Factor of 778,186 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 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Greatest Common Factor

We found the factors 778,186 . The biggest common factor number is the GCF number.
So the greatest common factor 778,186 is 2.

Lets's calculate LCM of 460,920

2 460, 920
2 230, 460
5 115, 230
23 23, 46
1, 2

∴ So the LCM of the given numbers is 2 x 2 x 5 x 23 x 1 x 2 = 920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/920

Therefore, the GCF of Fractions 778/460,186/920 is 2/920

Least Common Multiple of 460,920 with GCF Formula

Least Common Multiple of 460,920 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 460,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,920) = 460

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

GCF(460,920) x common factors =460 x 1 = 460

LCM(460,920) = ( 460 × 920 ) / 460

LCM(460,920) = 423200 / 460

LCM(460,920) = 920


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 778/460, 186/920

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 778/460, 186/920?

Answer: GCF of Numerators as per given numbers 778/460, 186/920 is

GCF of Numerators i.e. for 778,186 is 2

LCM of denominators i.e. for 460,920 is 920.

Thus, GCF of Fractions is 2/920.Finally, GCF of Fractions for 778/460, 186/920 is 2/920.