Greatest Common Factor of 340/632, 412/268, 677/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 340/632, 412/268, 677/520

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 340/632,412/268,677/520

Given fractions are 340/632,412/268,677/520

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 340,412,677

Greatest Common Factor of Numerators i.e. GCF of 340,412,677 is 1 .

LCM of Denominators means LCM of 632,268,520 as per the given fractions.

LCM of 632,268,520 is 2752360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 340,412,677

GCF of Fractions 340/632,412/268,677/520 is 1/2752360

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

Greatest Common Factor of 340,412,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,412,677 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Greatest Common Factor

We found the factors 340,412,677 . The biggest common factor number is the GCF number.
So the greatest common factor 340,412,677 is 1.

Lets's calculate LCM of 632,268,520

2 632, 268, 520
2 316, 134, 260
2 158, 67, 130
79, 67, 65

∴ So the LCM of the given numbers is 2 x 2 x 2 x 79 x 67 x 65 = 2752360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2752360

Therefore, the GCF of Fractions 340/632,412/268,677/520 is 1/2752360

Least Common Multiple of 632,268,520 with GCF Formula

Least Common Multiple of 632,268,520 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 632,268,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,268,520) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(632,268,520) x common factors =4 x 8 = 32

LCM(632,268,520) = ( 632 × 268 × 520 ) / 32

LCM(632,268,520) = 88075520 / 32

LCM(632,268,520) = 2752360


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 340/632, 412/268, 677/520

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 340/632, 412/268, 677/520?

Answer: GCF of Numerators as per given numbers 340/632, 412/268, 677/520 is

GCF of Numerators i.e. for 340,412,677 is 1

LCM of denominators i.e. for 632,268,520 is 2752360.

Thus, GCF of Fractions is 1/2752360.Finally, GCF of Fractions for 340/632, 412/268, 677/520 is 1/2752360.