Greatest Common Factor of 950/61, 625/49, 656/98

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 950/61, 625/49, 656/98

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 950/61,625/49,656/98

Given fractions are 950/61,625/49,656/98

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 950,625,656

Greatest Common Factor of Numerators i.e. GCF of 950,625,656 is 1 .

LCM of Denominators means LCM of 61,49,98 as per the given fractions.

LCM of 61,49,98 is 5978 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 950,625,656

GCF of Fractions 950/61,625/49,656/98 is 1/5978

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

Greatest Common Factor of 950,625,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 950,625,656 By Matching Biggest Common Factor Method

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 950,625,656 . The biggest common factor number is the GCF number.
So the greatest common factor 950,625,656 is 1.

Lets's calculate LCM of 61,49,98

7 61, 49, 98
7 61, 7, 14
61, 1, 2

∴ So the LCM of the given numbers is 7 x 7 x 61 x 1 x 2 = 5978

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5978

Therefore, the GCF of Fractions 950/61,625/49,656/98 is 1/5978

Least Common Multiple of 61,49,98 with GCF Formula

Least Common Multiple of 61,49,98 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 61,49,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,49,98) = 1

common factors(in case of two or more numbers have common factors) = 49

GCF(61,49,98) x common factors =1 x 49 = 49

LCM(61,49,98) = ( 61 × 49 × 98 ) / 49

LCM(61,49,98) = 292922 / 49

LCM(61,49,98) = 5978


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 950/61, 625/49, 656/98

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 950/61, 625/49, 656/98?

Answer: GCF of Numerators as per given numbers 950/61, 625/49, 656/98 is

GCF of Numerators i.e. for 950,625,656 is 1

LCM of denominators i.e. for 61,49,98 is 5978.

Thus, GCF of Fractions is 1/5978.Finally, GCF of Fractions for 950/61, 625/49, 656/98 is 1/5978.