Greatest Common Factor of 5328/196, 2310/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5328/196, 2310/540

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 5328/196,2310/540

Given fractions are 5328/196,2310/540

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 5328,2310

Greatest Common Factor of Numerators i.e. GCF of 5328,2310 is 6 .

LCM of Denominators means LCM of 196,540 as per the given fractions.

LCM of 196,540 is 26460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5328,2310

GCF of Fractions 5328/196,2310/540 is 6/26460

2 5328, 2310
3 2664, 1155
888, 385

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 5328,2310 By Matching Biggest Common Factor Method

Greatest Common Factor of 5328,2310 By Matching Biggest Common Factor Method

Factors of 5328

List of positive integer factors of 5328 that divides 5328 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,37,48,72,74,111,144,148,222,296,333,444,592,666,888,1332,1776,2664,5328

Factors of 2310

List of positive integer factors of 2310 that divides 2310 without a remainder.

1,2,3,5,6,7,10,11,14,15,21,22,30,33,35,42,55,66,70,77,105,110,154,165,210,231,330,385,462,770,1155,2310

Greatest Common Factor

We found the factors 5328,2310 . The biggest common factor number is the GCF number.
So the greatest common factor 5328,2310 is 6.

Lets's calculate LCM of 196,540

2 196, 540
2 98, 270
49, 135

∴ So the LCM of the given numbers is 2 x 2 x 49 x 135 = 26460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/26460

Therefore, the GCF of Fractions 5328/196,2310/540 is 6/26460

Least Common Multiple of 196,540 with GCF Formula

Least Common Multiple of 196,540 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 196,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,540) = 4

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

GCF(196,540) x common factors =4 x 1 = 4

LCM(196,540) = ( 196 × 540 ) / 4

LCM(196,540) = 105840 / 4

LCM(196,540) = 26460


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 5328/196, 2310/540

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 5328/196, 2310/540?

Answer: GCF of Numerators as per given numbers 5328/196, 2310/540 is

GCF of Numerators i.e. for 5328,2310 is 6

LCM of denominators i.e. for 196,540 is 26460.

Thus, GCF of Fractions is 6/26460.Finally, GCF of Fractions for 5328/196, 2310/540 is 6/26460.