Greatest Common Factor of 353/98, 149/1771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 353/98, 149/1771

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 353/98,149/1771

Given fractions are 353/98,149/1771

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 353,149

Greatest Common Factor of Numerators i.e. GCF of 353,149 is 1 .

LCM of Denominators means LCM of 98,1771 as per the given fractions.

LCM of 98,1771 is 24794 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 353,149

GCF of Fractions 353/98,149/1771 is 1/24794

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

Greatest Common Factor of 353,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 353,149 By Matching Biggest Common Factor Method

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 353,149 . The biggest common factor number is the GCF number.
So the greatest common factor 353,149 is 1.

Lets's calculate LCM of 98,1771

7 98, 1771
14, 253

∴ So the LCM of the given numbers is 7 x 14 x 253 = 24794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24794

Therefore, the GCF of Fractions 353/98,149/1771 is 1/24794

Least Common Multiple of 98,1771 with GCF Formula

Least Common Multiple of 98,1771 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 98,1771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,1771) = 7

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

GCF(98,1771) x common factors =7 x 1 = 7

LCM(98,1771) = ( 98 × 1771 ) / 7

LCM(98,1771) = 173558 / 7

LCM(98,1771) = 24794


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 353/98, 149/1771

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 353/98, 149/1771?

Answer: GCF of Numerators as per given numbers 353/98, 149/1771 is

GCF of Numerators i.e. for 353,149 is 1

LCM of denominators i.e. for 98,1771 is 24794.

Thus, GCF of Fractions is 1/24794.Finally, GCF of Fractions for 353/98, 149/1771 is 1/24794.