Greatest Common Factor of 65/42, 44/40, 998/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/42, 44/40, 998/713

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 65/42,44/40,998/713

Given fractions are 65/42,44/40,998/713

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 65,44,998

Greatest Common Factor of Numerators i.e. GCF of 65,44,998 is 1 .

LCM of Denominators means LCM of 42,40,713 as per the given fractions.

LCM of 42,40,713 is 598920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,44,998

GCF of Fractions 65/42,44/40,998/713 is 1/598920

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

Greatest Common Factor of 65,44,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,44,998 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 65,44,998 . The biggest common factor number is the GCF number.
So the greatest common factor 65,44,998 is 1.

Lets's calculate LCM of 42,40,713

2 42, 40, 713
21, 20, 713

∴ So the LCM of the given numbers is 2 x 21 x 20 x 713 = 598920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/598920

Therefore, the GCF of Fractions 65/42,44/40,998/713 is 1/598920

Least Common Multiple of 42,40,713 with GCF Formula

Least Common Multiple of 42,40,713 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 42,40,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,40,713) = 1

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

GCF(42,40,713) x common factors =1 x 2 = 2

LCM(42,40,713) = ( 42 × 40 × 713 ) / 2

LCM(42,40,713) = 1197840 / 2

LCM(42,40,713) = 598920


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 65/42, 44/40, 998/713

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 65/42, 44/40, 998/713?

Answer: GCF of Numerators as per given numbers 65/42, 44/40, 998/713 is

GCF of Numerators i.e. for 65,44,998 is 1

LCM of denominators i.e. for 42,40,713 is 598920.

Thus, GCF of Fractions is 1/598920.Finally, GCF of Fractions for 65/42, 44/40, 998/713 is 1/598920.