Greatest Common Factor of 756/159, 505/846, 677/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 756/159, 505/846, 677/214

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 756/159,505/846,677/214

Given fractions are 756/159,505/846,677/214

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 756,505,677

Greatest Common Factor of Numerators i.e. GCF of 756,505,677 is 1 .

LCM of Denominators means LCM of 159,846,214 as per the given fractions.

LCM of 159,846,214 is 4797666 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 756,505,677

GCF of Fractions 756/159,505/846,677/214 is 1/4797666

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

Greatest Common Factor of 756,505,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,505,677 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Greatest Common Factor

We found the factors 756,505,677 . The biggest common factor number is the GCF number.
So the greatest common factor 756,505,677 is 1.

Lets's calculate LCM of 159,846,214

2 159, 846, 214
3 159, 423, 107
53, 141, 107

∴ So the LCM of the given numbers is 2 x 3 x 53 x 141 x 107 = 4797666

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4797666

Therefore, the GCF of Fractions 756/159,505/846,677/214 is 1/4797666

Least Common Multiple of 159,846,214 with GCF Formula

Least Common Multiple of 159,846,214 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 159,846,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(159,846,214) = 1

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

GCF(159,846,214) x common factors =1 x 6 = 6

LCM(159,846,214) = ( 159 × 846 × 214 ) / 6

LCM(159,846,214) = 28785996 / 6

LCM(159,846,214) = 4797666


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 756/159, 505/846, 677/214

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 756/159, 505/846, 677/214?

Answer: GCF of Numerators as per given numbers 756/159, 505/846, 677/214 is

GCF of Numerators i.e. for 756,505,677 is 1

LCM of denominators i.e. for 159,846,214 is 4797666.

Thus, GCF of Fractions is 1/4797666.Finally, GCF of Fractions for 756/159, 505/846, 677/214 is 1/4797666.