Greatest Common Factor of 545/69, 742/71, 391/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 545/69, 742/71, 391/149

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 545/69,742/71,391/149

Given fractions are 545/69,742/71,391/149

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 545,742,391

Greatest Common Factor of Numerators i.e. GCF of 545,742,391 is 1 .

LCM of Denominators means LCM of 69,71,149 as per the given fractions.

LCM of 69,71,149 is 729951 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 545,742,391

GCF of Fractions 545/69,742/71,391/149 is 1/729951

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

Greatest Common Factor of 545,742,391 By Matching Biggest Common Factor Method

Greatest Common Factor of 545,742,391 By Matching Biggest Common Factor Method

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Greatest Common Factor

We found the factors 545,742,391 . The biggest common factor number is the GCF number.
So the greatest common factor 545,742,391 is 1.

Lets's calculate LCM of 69,71,149

Given numbers has no common factors except 1. So, there LCM is their product i.e 729951

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/729951

Therefore, the GCF of Fractions 545/69,742/71,391/149 is 1/729951

Least Common Multiple of 69,71,149 with GCF Formula

Least Common Multiple of 69,71,149 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 69,71,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,71,149) = 1

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

GCF(69,71,149) x common factors =1 x 1 = 1

LCM(69,71,149) = ( 69 × 71 × 149 ) / 1

LCM(69,71,149) = 729951 / 1

LCM(69,71,149) = 729951


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 545/69, 742/71, 391/149

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 545/69, 742/71, 391/149?

Answer: GCF of Numerators as per given numbers 545/69, 742/71, 391/149 is

GCF of Numerators i.e. for 545,742,391 is 1

LCM of denominators i.e. for 69,71,149 is 729951.

Thus, GCF of Fractions is 1/729951.Finally, GCF of Fractions for 545/69, 742/71, 391/149 is 1/729951.