Greatest Common Factor of 95/98, 51/35, 85/96, 289/44

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 95/98, 51/35, 85/96, 289/44

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 95/98,51/35,85/96,289/44

Given fractions are 95/98,51/35,85/96,289/44

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 95,51,85,289

Greatest Common Factor of Numerators i.e. GCF of 95,51,85,289 is 1 .

LCM of Denominators means LCM of 98,35,96,44 as per the given fractions.

LCM of 98,35,96,44 is 258720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,51,85,289

GCF of Fractions 95/98,51/35,85/96,289/44 is 1/258720

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

Greatest Common Factor of 95,51,85,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,51,85,289 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 95,51,85,289 . The biggest common factor number is the GCF number.
So the greatest common factor 95,51,85,289 is 1.

Lets's calculate LCM of 98,35,96,44

2 98, 35, 96, 44
2 49, 35, 48, 22
7 49, 35, 24, 11
7, 5, 24, 11

∴ So the LCM of the given numbers is 2 x 2 x 7 x 7 x 5 x 24 x 11 = 258720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/258720

Therefore, the GCF of Fractions 95/98,51/35,85/96,289/44 is 1/258720

Least Common Multiple of 98,35,96,44 with GCF Formula

Least Common Multiple of 98,35,96,44 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 98,35,96,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,35,96,44) = 1

common factors(in case of two or more numbers have common factors) = 56

GCF(98,35,96,44) x common factors =1 x 56 = 56

LCM(98,35,96,44) = ( 98 × 35 × 96 × 44 ) / 56

LCM(98,35,96,44) = 14488320 / 56

LCM(98,35,96,44) = 258720


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 95/98, 51/35, 85/96, 289/44

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 95/98, 51/35, 85/96, 289/44?

Answer: GCF of Numerators as per given numbers 95/98, 51/35, 85/96, 289/44 is

GCF of Numerators i.e. for 95,51,85,289 is 1

LCM of denominators i.e. for 98,35,96,44 is 258720.

Thus, GCF of Fractions is 1/258720.Finally, GCF of Fractions for 95/98, 51/35, 85/96, 289/44 is 1/258720.