Greatest Common Factor of 694/756, 335/742, 177/491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 694/756, 335/742, 177/491

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 694/756,335/742,177/491

Given fractions are 694/756,335/742,177/491

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 694,335,177

Greatest Common Factor of Numerators i.e. GCF of 694,335,177 is 1 .

LCM of Denominators means LCM of 756,742,491 as per the given fractions.

LCM of 756,742,491 is 19673388 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 694,335,177

GCF of Fractions 694/756,335/742,177/491 is 1/19673388

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

Greatest Common Factor of 694,335,177 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,335,177 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Greatest Common Factor

We found the factors 694,335,177 . The biggest common factor number is the GCF number.
So the greatest common factor 694,335,177 is 1.

Lets's calculate LCM of 756,742,491

2 756, 742, 491
7 378, 371, 491
54, 53, 491

∴ So the LCM of the given numbers is 2 x 7 x 54 x 53 x 491 = 19673388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19673388

Therefore, the GCF of Fractions 694/756,335/742,177/491 is 1/19673388

Least Common Multiple of 756,742,491 with GCF Formula

Least Common Multiple of 756,742,491 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 756,742,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,742,491) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(756,742,491) x common factors =1 x 14 = 14

LCM(756,742,491) = ( 756 × 742 × 491 ) / 14

LCM(756,742,491) = 275427432 / 14

LCM(756,742,491) = 19673388


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 694/756, 335/742, 177/491

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 694/756, 335/742, 177/491?

Answer: GCF of Numerators as per given numbers 694/756, 335/742, 177/491 is

GCF of Numerators i.e. for 694,335,177 is 1

LCM of denominators i.e. for 756,742,491 is 19673388.

Thus, GCF of Fractions is 1/19673388.Finally, GCF of Fractions for 694/756, 335/742, 177/491 is 1/19673388.