Greatest Common Factor of 98/588, 779/203, 948/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 98/588, 779/203, 948/711

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 98/588,779/203,948/711

Given fractions are 98/588,779/203,948/711

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 98,779,948

Greatest Common Factor of Numerators i.e. GCF of 98,779,948 is 1 .

LCM of Denominators means LCM of 588,203,711 as per the given fractions.

LCM of 588,203,711 is 4041324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 98,779,948

GCF of Fractions 98/588,779/203,948/711 is 1/4041324

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

Greatest Common Factor of 98,779,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,779,948 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 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 98,779,948 . The biggest common factor number is the GCF number.
So the greatest common factor 98,779,948 is 1.

Lets's calculate LCM of 588,203,711

3 588, 203, 711
7 196, 203, 237
28, 29, 237

∴ So the LCM of the given numbers is 3 x 7 x 28 x 29 x 237 = 4041324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4041324

Therefore, the GCF of Fractions 98/588,779/203,948/711 is 1/4041324

Least Common Multiple of 588,203,711 with GCF Formula

Least Common Multiple of 588,203,711 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 588,203,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,203,711) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(588,203,711) x common factors =1 x 21 = 21

LCM(588,203,711) = ( 588 × 203 × 711 ) / 21

LCM(588,203,711) = 84867804 / 21

LCM(588,203,711) = 4041324


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 98/588, 779/203, 948/711

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 98/588, 779/203, 948/711?

Answer: GCF of Numerators as per given numbers 98/588, 779/203, 948/711 is

GCF of Numerators i.e. for 98,779,948 is 1

LCM of denominators i.e. for 588,203,711 is 4041324.

Thus, GCF of Fractions is 1/4041324.Finally, GCF of Fractions for 98/588, 779/203, 948/711 is 1/4041324.