Greatest Common Factor of 4/37, 41/26, 18/654, 534/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/37, 41/26, 18/654, 534/175

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 4/37,41/26,18/654,534/175

Given fractions are 4/37,41/26,18/654,534/175

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 4,41,18,534

Greatest Common Factor of Numerators i.e. GCF of 4,41,18,534 is 1 .

LCM of Denominators means LCM of 37,26,654,175 as per the given fractions.

LCM of 37,26,654,175 is 55050450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,41,18,534

GCF of Fractions 4/37,41/26,18/654,534/175 is 1/55050450

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

Greatest Common Factor of 4,41,18,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,41,18,534 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Greatest Common Factor

We found the factors 4,41,18,534 . The biggest common factor number is the GCF number.
So the greatest common factor 4,41,18,534 is 1.

Lets's calculate LCM of 37,26,654,175

2 37, 26, 654, 175
37, 13, 327, 175

∴ So the LCM of the given numbers is 2 x 37 x 13 x 327 x 175 = 55050450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55050450

Therefore, the GCF of Fractions 4/37,41/26,18/654,534/175 is 1/55050450

Least Common Multiple of 37,26,654,175 with GCF Formula

Least Common Multiple of 37,26,654,175 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 37,26,654,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,26,654,175) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(37,26,654,175) x common factors =1 x 2 = 2

LCM(37,26,654,175) = ( 37 × 26 × 654 × 175 ) / 2

LCM(37,26,654,175) = 110100900 / 2

LCM(37,26,654,175) = 55050450


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 4/37, 41/26, 18/654, 534/175

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 4/37, 41/26, 18/654, 534/175?

Answer: GCF of Numerators as per given numbers 4/37, 41/26, 18/654, 534/175 is

GCF of Numerators i.e. for 4,41,18,534 is 1

LCM of denominators i.e. for 37,26,654,175 is 55050450.

Thus, GCF of Fractions is 1/55050450.Finally, GCF of Fractions for 4/37, 41/26, 18/654, 534/175 is 1/55050450.