Greatest Common Factor of 689/253, 847/852, 116/641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 689/253, 847/852, 116/641

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 689/253,847/852,116/641

Given fractions are 689/253,847/852,116/641

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 689,847,116

Greatest Common Factor of Numerators i.e. GCF of 689,847,116 is 1 .

LCM of Denominators means LCM of 253,852,641 as per the given fractions.

LCM of 253,852,641 is 138171396 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 689,847,116

GCF of Fractions 689/253,847/852,116/641 is 1/138171396

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

Greatest Common Factor of 689,847,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,847,116 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 689,847,116 . The biggest common factor number is the GCF number.
So the greatest common factor 689,847,116 is 1.

Lets's calculate LCM of 253,852,641

Given numbers has no common factors except 1. So, there LCM is their product i.e 138171396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138171396

Therefore, the GCF of Fractions 689/253,847/852,116/641 is 1/138171396

Least Common Multiple of 253,852,641 with GCF Formula

Least Common Multiple of 253,852,641 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 253,852,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,852,641) = 1

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

GCF(253,852,641) x common factors =1 x 1 = 1

LCM(253,852,641) = ( 253 × 852 × 641 ) / 1

LCM(253,852,641) = 138171396 / 1

LCM(253,852,641) = 138171396


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 689/253, 847/852, 116/641

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 689/253, 847/852, 116/641?

Answer: GCF of Numerators as per given numbers 689/253, 847/852, 116/641 is

GCF of Numerators i.e. for 689,847,116 is 1

LCM of denominators i.e. for 253,852,641 is 138171396.

Thus, GCF of Fractions is 1/138171396.Finally, GCF of Fractions for 689/253, 847/852, 116/641 is 1/138171396.