Greatest Common Factor of 839/738, 653/318, 707/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 839/738, 653/318, 707/461

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 839/738,653/318,707/461

Given fractions are 839/738,653/318,707/461

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 839,653,707

Greatest Common Factor of Numerators i.e. GCF of 839,653,707 is 1 .

LCM of Denominators means LCM of 738,318,461 as per the given fractions.

LCM of 738,318,461 is 18031554 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 839,653,707

GCF of Fractions 839/738,653/318,707/461 is 1/18031554

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

Greatest Common Factor of 839,653,707 By Matching Biggest Common Factor Method

Greatest Common Factor of 839,653,707 By Matching Biggest Common Factor Method

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Factors of 653

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

1,653

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Greatest Common Factor

We found the factors 839,653,707 . The biggest common factor number is the GCF number.
So the greatest common factor 839,653,707 is 1.

Lets's calculate LCM of 738,318,461

2 738, 318, 461
3 369, 159, 461
123, 53, 461

∴ So the LCM of the given numbers is 2 x 3 x 123 x 53 x 461 = 18031554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18031554

Therefore, the GCF of Fractions 839/738,653/318,707/461 is 1/18031554

Least Common Multiple of 738,318,461 with GCF Formula

Least Common Multiple of 738,318,461 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 738,318,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,318,461) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(738,318,461) x common factors =1 x 6 = 6

LCM(738,318,461) = ( 738 × 318 × 461 ) / 6

LCM(738,318,461) = 108189324 / 6

LCM(738,318,461) = 18031554


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 839/738, 653/318, 707/461

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 839/738, 653/318, 707/461?

Answer: GCF of Numerators as per given numbers 839/738, 653/318, 707/461 is

GCF of Numerators i.e. for 839,653,707 is 1

LCM of denominators i.e. for 738,318,461 is 18031554.

Thus, GCF of Fractions is 1/18031554.Finally, GCF of Fractions for 839/738, 653/318, 707/461 is 1/18031554.