Greatest Common Factor of 98/27, 38/76, 656/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 98/27, 38/76, 656/949

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 98/27,38/76,656/949

Given fractions are 98/27,38/76,656/949

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 98,38,656

Greatest Common Factor of Numerators i.e. GCF of 98,38,656 is 2 .

LCM of Denominators means LCM of 27,76,949 as per the given fractions.

LCM of 27,76,949 is 1947348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 98,38,656

GCF of Fractions 98/27,38/76,656/949 is 2/1947348

2 98, 38, 656
49, 19, 328

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 98,38,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,38,656 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

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 98,38,656 . The biggest common factor number is the GCF number.
So the greatest common factor 98,38,656 is 2.

Lets's calculate LCM of 27,76,949

Given numbers has no common factors except 1. So, there LCM is their product i.e 1947348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1947348

Therefore, the GCF of Fractions 98/27,38/76,656/949 is 2/1947348

Least Common Multiple of 27,76,949 with GCF Formula

Least Common Multiple of 27,76,949 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 27,76,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,76,949) = 1

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

GCF(27,76,949) x common factors =1 x 1 = 1

LCM(27,76,949) = ( 27 × 76 × 949 ) / 1

LCM(27,76,949) = 1947348 / 1

LCM(27,76,949) = 1947348


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 98/27, 38/76, 656/949

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 98/27, 38/76, 656/949?

Answer: GCF of Numerators as per given numbers 98/27, 38/76, 656/949 is

GCF of Numerators i.e. for 98,38,656 is 2

LCM of denominators i.e. for 27,76,949 is 1947348.

Thus, GCF of Fractions is 2/1947348.Finally, GCF of Fractions for 98/27, 38/76, 656/949 is 2/1947348.