Greatest Common Factor of 929/82, 653/1343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 929/82, 653/1343

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 929/82,653/1343

Given fractions are 929/82,653/1343

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 929,653

Greatest Common Factor of Numerators i.e. GCF of 929,653 is 1 .

LCM of Denominators means LCM of 82,1343 as per the given fractions.

LCM of 82,1343 is 110126 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 929,653

GCF of Fractions 929/82,653/1343 is 1/110126

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

Greatest Common Factor of 929,653 By Matching Biggest Common Factor Method

Greatest Common Factor of 929,653 By Matching Biggest Common Factor Method

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Greatest Common Factor

We found the factors 929,653 . The biggest common factor number is the GCF number.
So the greatest common factor 929,653 is 1.

Lets's calculate LCM of 82,1343

Given numbers has no common factors except 1. So, there LCM is their product i.e 110126

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110126

Therefore, the GCF of Fractions 929/82,653/1343 is 1/110126

Least Common Multiple of 82,1343 with GCF Formula

Least Common Multiple of 82,1343 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 82,1343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,1343) = 1

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

GCF(82,1343) x common factors =1 x 1 = 1

LCM(82,1343) = ( 82 × 1343 ) / 1

LCM(82,1343) = 110126 / 1

LCM(82,1343) = 110126


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 929/82, 653/1343

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 929/82, 653/1343?

Answer: GCF of Numerators as per given numbers 929/82, 653/1343 is

GCF of Numerators i.e. for 929,653 is 1

LCM of denominators i.e. for 82,1343 is 110126.

Thus, GCF of Fractions is 1/110126.Finally, GCF of Fractions for 929/82, 653/1343 is 1/110126.