Greatest Common Factor of 98/59, 791/74, 211/233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 98/59, 791/74, 211/233

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 98/59,791/74,211/233

Given fractions are 98/59,791/74,211/233

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 98,791,211

Greatest Common Factor of Numerators i.e. GCF of 98,791,211 is 1 .

LCM of Denominators means LCM of 59,74,233 as per the given fractions.

LCM of 59,74,233 is 1017278 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 98,791,211

GCF of Fractions 98/59,791/74,211/233 is 1/1017278

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

Greatest Common Factor of 98,791,211 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,791,211 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 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Greatest Common Factor

We found the factors 98,791,211 . The biggest common factor number is the GCF number.
So the greatest common factor 98,791,211 is 1.

Lets's calculate LCM of 59,74,233

Given numbers has no common factors except 1. So, there LCM is their product i.e 1017278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1017278

Therefore, the GCF of Fractions 98/59,791/74,211/233 is 1/1017278

Least Common Multiple of 59,74,233 with GCF Formula

Least Common Multiple of 59,74,233 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 59,74,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,74,233) = 1

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

GCF(59,74,233) x common factors =1 x 1 = 1

LCM(59,74,233) = ( 59 × 74 × 233 ) / 1

LCM(59,74,233) = 1017278 / 1

LCM(59,74,233) = 1017278


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 98/59, 791/74, 211/233

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 98/59, 791/74, 211/233?

Answer: GCF of Numerators as per given numbers 98/59, 791/74, 211/233 is

GCF of Numerators i.e. for 98,791,211 is 1

LCM of denominators i.e. for 59,74,233 is 1017278.

Thus, GCF of Fractions is 1/1017278.Finally, GCF of Fractions for 98/59, 791/74, 211/233 is 1/1017278.