Greatest Common Factor of 5660/174, 5340/1120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5660/174, 5340/1120

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 5660/174,5340/1120

Given fractions are 5660/174,5340/1120

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 5660,5340

Greatest Common Factor of Numerators i.e. GCF of 5660,5340 is 20 .

LCM of Denominators means LCM of 174,1120 as per the given fractions.

LCM of 174,1120 is 97440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5660,5340

GCF of Fractions 5660/174,5340/1120 is 20/97440

2 5660, 5340
2 2830, 2670
5 1415, 1335
283, 267

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 5660,5340 By Matching Biggest Common Factor Method

Greatest Common Factor of 5660,5340 By Matching Biggest Common Factor Method

Factors of 5660

List of positive integer factors of 5660 that divides 5660 without a remainder.

1,2,4,5,10,20,283,566,1132,1415,2830,5660

Factors of 5340

List of positive integer factors of 5340 that divides 5340 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,89,178,267,356,445,534,890,1068,1335,1780,2670,5340

Greatest Common Factor

We found the factors 5660,5340 . The biggest common factor number is the GCF number.
So the greatest common factor 5660,5340 is 20.

Lets's calculate LCM of 174,1120

2 174, 1120
87, 560

∴ So the LCM of the given numbers is 2 x 87 x 560 = 97440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/97440

Therefore, the GCF of Fractions 5660/174,5340/1120 is 20/97440

Least Common Multiple of 174,1120 with GCF Formula

Least Common Multiple of 174,1120 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 174,1120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,1120) = 2

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

GCF(174,1120) x common factors =2 x 1 = 2

LCM(174,1120) = ( 174 × 1120 ) / 2

LCM(174,1120) = 194880 / 2

LCM(174,1120) = 97440


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 5660/174, 5340/1120

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 5660/174, 5340/1120?

Answer: GCF of Numerators as per given numbers 5660/174, 5340/1120 is

GCF of Numerators i.e. for 5660,5340 is 20

LCM of denominators i.e. for 174,1120 is 97440.

Thus, GCF of Fractions is 20/97440.Finally, GCF of Fractions for 5660/174, 5340/1120 is 20/97440.