Greatest Common Factor of 978/294, 553/556, 746/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 978/294, 553/556, 746/417

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 978/294,553/556,746/417

Given fractions are 978/294,553/556,746/417

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 978,553,746

Greatest Common Factor of Numerators i.e. GCF of 978,553,746 is 1 .

LCM of Denominators means LCM of 294,556,417 as per the given fractions.

LCM of 294,556,417 is 81732 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 978,553,746

GCF of Fractions 978/294,553/556,746/417 is 1/81732

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

Greatest Common Factor of 978,553,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,553,746 By Matching Biggest Common Factor Method

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 978,553,746 . The biggest common factor number is the GCF number.
So the greatest common factor 978,553,746 is 1.

Lets's calculate LCM of 294,556,417

2 294, 556, 417
3 147, 278, 417
139 49, 278, 139
49, 2, 1

∴ So the LCM of the given numbers is 2 x 3 x 139 x 49 x 2 x 1 = 81732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81732

Therefore, the GCF of Fractions 978/294,553/556,746/417 is 1/81732

Least Common Multiple of 294,556,417 with GCF Formula

Least Common Multiple of 294,556,417 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 294,556,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,556,417) = 1

common factors(in case of two or more numbers have common factors) = 834

GCF(294,556,417) x common factors =1 x 834 = 834

LCM(294,556,417) = ( 294 × 556 × 417 ) / 834

LCM(294,556,417) = 68164488 / 834

LCM(294,556,417) = 81732


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 978/294, 553/556, 746/417

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 978/294, 553/556, 746/417?

Answer: GCF of Numerators as per given numbers 978/294, 553/556, 746/417 is

GCF of Numerators i.e. for 978,553,746 is 1

LCM of denominators i.e. for 294,556,417 is 81732.

Thus, GCF of Fractions is 1/81732.Finally, GCF of Fractions for 978/294, 553/556, 746/417 is 1/81732.