Greatest Common Factor of 978/50, 349/14, 673/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 978/50, 349/14, 673/211

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 978/50,349/14,673/211

Given fractions are 978/50,349/14,673/211

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 978,349,673

Greatest Common Factor of Numerators i.e. GCF of 978,349,673 is 1 .

LCM of Denominators means LCM of 50,14,211 as per the given fractions.

LCM of 50,14,211 is 73850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 978,349,673

GCF of Fractions 978/50,349/14,673/211 is 1/73850

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

Greatest Common Factor of 978,349,673 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,349,673 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 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 673

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

1,673

Greatest Common Factor

We found the factors 978,349,673 . The biggest common factor number is the GCF number.
So the greatest common factor 978,349,673 is 1.

Lets's calculate LCM of 50,14,211

2 50, 14, 211
25, 7, 211

∴ So the LCM of the given numbers is 2 x 25 x 7 x 211 = 73850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73850

Therefore, the GCF of Fractions 978/50,349/14,673/211 is 1/73850

Least Common Multiple of 50,14,211 with GCF Formula

Least Common Multiple of 50,14,211 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 50,14,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,14,211) = 1

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

GCF(50,14,211) x common factors =1 x 2 = 2

LCM(50,14,211) = ( 50 × 14 × 211 ) / 2

LCM(50,14,211) = 147700 / 2

LCM(50,14,211) = 73850


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 978/50, 349/14, 673/211

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 978/50, 349/14, 673/211?

Answer: GCF of Numerators as per given numbers 978/50, 349/14, 673/211 is

GCF of Numerators i.e. for 978,349,673 is 1

LCM of denominators i.e. for 50,14,211 is 73850.

Thus, GCF of Fractions is 1/73850.Finally, GCF of Fractions for 978/50, 349/14, 673/211 is 1/73850.