Greatest Common Factor of 65/998, 76/1404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/998, 76/1404

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 65/998,76/1404

Given fractions are 65/998,76/1404

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 65,76

Greatest Common Factor of Numerators i.e. GCF of 65,76 is 1 .

LCM of Denominators means LCM of 998,1404 as per the given fractions.

LCM of 998,1404 is 700596 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,76

GCF of Fractions 65/998,76/1404 is 1/700596

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

Greatest Common Factor of 65,76 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,76 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 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Greatest Common Factor

We found the factors 65,76 . The biggest common factor number is the GCF number.
So the greatest common factor 65,76 is 1.

Lets's calculate LCM of 998,1404

2 998, 1404
499, 702

∴ So the LCM of the given numbers is 2 x 499 x 702 = 700596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/700596

Therefore, the GCF of Fractions 65/998,76/1404 is 1/700596

Least Common Multiple of 998,1404 with GCF Formula

Least Common Multiple of 998,1404 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 998,1404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,1404) = 2

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

GCF(998,1404) x common factors =2 x 1 = 2

LCM(998,1404) = ( 998 × 1404 ) / 2

LCM(998,1404) = 1401192 / 2

LCM(998,1404) = 700596


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 65/998, 76/1404

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 65/998, 76/1404?

Answer: GCF of Numerators as per given numbers 65/998, 76/1404 is

GCF of Numerators i.e. for 65,76 is 1

LCM of denominators i.e. for 998,1404 is 700596.

Thus, GCF of Fractions is 1/700596.Finally, GCF of Fractions for 65/998, 76/1404 is 1/700596.