Greatest Common Factor of 657/34, 743/61, 913/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 657/34, 743/61, 913/582

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 657/34,743/61,913/582

Given fractions are 657/34,743/61,913/582

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 657,743,913

Greatest Common Factor of Numerators i.e. GCF of 657,743,913 is 1 .

LCM of Denominators means LCM of 34,61,582 as per the given fractions.

LCM of 34,61,582 is 603534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 657,743,913

GCF of Fractions 657/34,743/61,913/582 is 1/603534

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

Greatest Common Factor of 657,743,913 By Matching Biggest Common Factor Method

Greatest Common Factor of 657,743,913 By Matching Biggest Common Factor Method

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Greatest Common Factor

We found the factors 657,743,913 . The biggest common factor number is the GCF number.
So the greatest common factor 657,743,913 is 1.

Lets's calculate LCM of 34,61,582

2 34, 61, 582
17, 61, 291

∴ So the LCM of the given numbers is 2 x 17 x 61 x 291 = 603534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/603534

Therefore, the GCF of Fractions 657/34,743/61,913/582 is 1/603534

Least Common Multiple of 34,61,582 with GCF Formula

Least Common Multiple of 34,61,582 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 34,61,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,61,582) = 1

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

GCF(34,61,582) x common factors =1 x 2 = 2

LCM(34,61,582) = ( 34 × 61 × 582 ) / 2

LCM(34,61,582) = 1207068 / 2

LCM(34,61,582) = 603534


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 657/34, 743/61, 913/582

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 657/34, 743/61, 913/582?

Answer: GCF of Numerators as per given numbers 657/34, 743/61, 913/582 is

GCF of Numerators i.e. for 657,743,913 is 1

LCM of denominators i.e. for 34,61,582 is 603534.

Thus, GCF of Fractions is 1/603534.Finally, GCF of Fractions for 657/34, 743/61, 913/582 is 1/603534.