Greatest Common Factor of 980/107, 1639/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 980/107, 1639/349

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 980/107,1639/349

Given fractions are 980/107,1639/349

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 980,1639

Greatest Common Factor of Numerators i.e. GCF of 980,1639 is 1 .

LCM of Denominators means LCM of 107,349 as per the given fractions.

LCM of 107,349 is 37343 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 980,1639

GCF of Fractions 980/107,1639/349 is 1/37343

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

Greatest Common Factor of 980,1639 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,1639 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 1639

List of positive integer factors of 1639 that divides 1639 without a remainder.

1,11,149,1639

Greatest Common Factor

We found the factors 980,1639 . The biggest common factor number is the GCF number.
So the greatest common factor 980,1639 is 1.

Lets's calculate LCM of 107,349

Given numbers has no common factors except 1. So, there LCM is their product i.e 37343

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37343

Therefore, the GCF of Fractions 980/107,1639/349 is 1/37343

Least Common Multiple of 107,349 with GCF Formula

Least Common Multiple of 107,349 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 107,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,349) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(107,349) x common factors =1 x 1 = 1

LCM(107,349) = ( 107 × 349 ) / 1

LCM(107,349) = 37343 / 1

LCM(107,349) = 37343


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 980/107, 1639/349

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 980/107, 1639/349?

Answer: GCF of Numerators as per given numbers 980/107, 1639/349 is

GCF of Numerators i.e. for 980,1639 is 1

LCM of denominators i.e. for 107,349 is 37343.

Thus, GCF of Fractions is 1/37343.Finally, GCF of Fractions for 980/107, 1639/349 is 1/37343.