Greatest Common Factor of 537/47, 917/33, 734/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 537/47, 917/33, 734/105

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 537/47,917/33,734/105

Given fractions are 537/47,917/33,734/105

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 537,917,734

Greatest Common Factor of Numerators i.e. GCF of 537,917,734 is 1 .

LCM of Denominators means LCM of 47,33,105 as per the given fractions.

LCM of 47,33,105 is 54285 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 537,917,734

GCF of Fractions 537/47,917/33,734/105 is 1/54285

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

Greatest Common Factor of 537,917,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,917,734 By Matching Biggest Common Factor Method

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 537,917,734 . The biggest common factor number is the GCF number.
So the greatest common factor 537,917,734 is 1.

Lets's calculate LCM of 47,33,105

3 47, 33, 105
47, 11, 35

∴ So the LCM of the given numbers is 3 x 47 x 11 x 35 = 54285

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54285

Therefore, the GCF of Fractions 537/47,917/33,734/105 is 1/54285

Least Common Multiple of 47,33,105 with GCF Formula

Least Common Multiple of 47,33,105 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 47,33,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,33,105) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(47,33,105) x common factors =1 x 3 = 3

LCM(47,33,105) = ( 47 × 33 × 105 ) / 3

LCM(47,33,105) = 162855 / 3

LCM(47,33,105) = 54285


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 537/47, 917/33, 734/105

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 537/47, 917/33, 734/105?

Answer: GCF of Numerators as per given numbers 537/47, 917/33, 734/105 is

GCF of Numerators i.e. for 537,917,734 is 1

LCM of denominators i.e. for 47,33,105 is 54285.

Thus, GCF of Fractions is 1/54285.Finally, GCF of Fractions for 537/47, 917/33, 734/105 is 1/54285.