Greatest Common Factor of 673/54, 411/92, 978/49

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 673/54, 411/92, 978/49

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 673/54,411/92,978/49

Given fractions are 673/54,411/92,978/49

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 673,411,978

Greatest Common Factor of Numerators i.e. GCF of 673,411,978 is 1 .

LCM of Denominators means LCM of 54,92,49 as per the given fractions.

LCM of 54,92,49 is 121716 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 673,411,978

GCF of Fractions 673/54,411/92,978/49 is 1/121716

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

Greatest Common Factor of 673,411,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 673,411,978 By Matching Biggest Common Factor Method

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 978

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

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

Greatest Common Factor

We found the factors 673,411,978 . The biggest common factor number is the GCF number.
So the greatest common factor 673,411,978 is 1.

Lets's calculate LCM of 54,92,49

2 54, 92, 49
27, 46, 49

∴ So the LCM of the given numbers is 2 x 27 x 46 x 49 = 121716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121716

Therefore, the GCF of Fractions 673/54,411/92,978/49 is 1/121716

Least Common Multiple of 54,92,49 with GCF Formula

Least Common Multiple of 54,92,49 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 54,92,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,92,49) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(54,92,49) x common factors =1 x 2 = 2

LCM(54,92,49) = ( 54 × 92 × 49 ) / 2

LCM(54,92,49) = 243432 / 2

LCM(54,92,49) = 121716


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 673/54, 411/92, 978/49

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 673/54, 411/92, 978/49?

Answer: GCF of Numerators as per given numbers 673/54, 411/92, 978/49 is

GCF of Numerators i.e. for 673,411,978 is 1

LCM of denominators i.e. for 54,92,49 is 121716.

Thus, GCF of Fractions is 1/121716.Finally, GCF of Fractions for 673/54, 411/92, 978/49 is 1/121716.