Greatest Common Factor of 544/918, 1190/4660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 544/918, 1190/4660

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 544/918,1190/4660

Given fractions are 544/918,1190/4660

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 544,1190

Greatest Common Factor of Numerators i.e. GCF of 544,1190 is 34 .

LCM of Denominators means LCM of 918,4660 as per the given fractions.

LCM of 918,4660 is 2138940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 544,1190

GCF of Fractions 544/918,1190/4660 is 34/2138940

2 544, 1190
17 272, 595
16, 35

∴ So the GCF of the given numbers is 2 x 17 = 34

Greatest Common Factor of 544,1190 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,1190 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 1190

List of positive integer factors of 1190 that divides 1190 without a remainder.

1,2,5,7,10,14,17,34,35,70,85,119,170,238,595,1190

Greatest Common Factor

We found the factors 544,1190 . The biggest common factor number is the GCF number.
So the greatest common factor 544,1190 is 34.

Lets's calculate LCM of 918,4660

2 918, 4660
459, 2330

∴ So the LCM of the given numbers is 2 x 459 x 2330 = 2138940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/2138940

Therefore, the GCF of Fractions 544/918,1190/4660 is 34/2138940

Least Common Multiple of 918,4660 with GCF Formula

Least Common Multiple of 918,4660 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 918,4660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,4660) = 2

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

GCF(918,4660) x common factors =2 x 1 = 2

LCM(918,4660) = ( 918 × 4660 ) / 2

LCM(918,4660) = 4277880 / 2

LCM(918,4660) = 2138940


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 544/918, 1190/4660

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 544/918, 1190/4660?

Answer: GCF of Numerators as per given numbers 544/918, 1190/4660 is

GCF of Numerators i.e. for 544,1190 is 34

LCM of denominators i.e. for 918,4660 is 2138940.

Thus, GCF of Fractions is 34/2138940.Finally, GCF of Fractions for 544/918, 1190/4660 is 34/2138940.