Greatest Common Factor of 5146/936, 3450/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5146/936, 3450/680

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 5146/936,3450/680

Given fractions are 5146/936,3450/680

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 5146,3450

Greatest Common Factor of Numerators i.e. GCF of 5146,3450 is 2 .

LCM of Denominators means LCM of 936,680 as per the given fractions.

LCM of 936,680 is 79560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5146,3450

GCF of Fractions 5146/936,3450/680 is 2/79560

2 5146, 3450
2573, 1725

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

Greatest Common Factor of 5146,3450 By Matching Biggest Common Factor Method

Greatest Common Factor of 5146,3450 By Matching Biggest Common Factor Method

Factors of 5146

List of positive integer factors of 5146 that divides 5146 without a remainder.

1,2,31,62,83,166,2573,5146

Factors of 3450

List of positive integer factors of 3450 that divides 3450 without a remainder.

1,2,3,5,6,10,15,23,25,30,46,50,69,75,115,138,150,230,345,575,690,1150,1725,3450

Greatest Common Factor

We found the factors 5146,3450 . The biggest common factor number is the GCF number.
So the greatest common factor 5146,3450 is 2.

Lets's calculate LCM of 936,680

2 936, 680
2 468, 340
2 234, 170
117, 85

∴ So the LCM of the given numbers is 2 x 2 x 2 x 117 x 85 = 79560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/79560

Therefore, the GCF of Fractions 5146/936,3450/680 is 2/79560

Least Common Multiple of 936,680 with GCF Formula

Least Common Multiple of 936,680 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 936,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,680) = 8

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

GCF(936,680) x common factors =8 x 1 = 8

LCM(936,680) = ( 936 × 680 ) / 8

LCM(936,680) = 636480 / 8

LCM(936,680) = 79560


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 5146/936, 3450/680

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 5146/936, 3450/680?

Answer: GCF of Numerators as per given numbers 5146/936, 3450/680 is

GCF of Numerators i.e. for 5146,3450 is 2

LCM of denominators i.e. for 936,680 is 79560.

Thus, GCF of Fractions is 2/79560.Finally, GCF of Fractions for 5146/936, 3450/680 is 2/79560.