Greatest Common Factor of 963/98, 558/17, 834/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 963/98, 558/17, 834/107

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 963/98,558/17,834/107

Given fractions are 963/98,558/17,834/107

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 963,558,834

Greatest Common Factor of Numerators i.e. GCF of 963,558,834 is 3 .

LCM of Denominators means LCM of 98,17,107 as per the given fractions.

LCM of 98,17,107 is 178262 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 963,558,834

GCF of Fractions 963/98,558/17,834/107 is 3/178262

3 963, 558, 834
321, 186, 278

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 963,558,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 963,558,834 By Matching Biggest Common Factor Method

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 963,558,834 . The biggest common factor number is the GCF number.
So the greatest common factor 963,558,834 is 3.

Lets's calculate LCM of 98,17,107

Given numbers has no common factors except 1. So, there LCM is their product i.e 178262

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/178262

Therefore, the GCF of Fractions 963/98,558/17,834/107 is 3/178262

Least Common Multiple of 98,17,107 with GCF Formula

Least Common Multiple of 98,17,107 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 98,17,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,17,107) = 1

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

GCF(98,17,107) x common factors =1 x 1 = 1

LCM(98,17,107) = ( 98 × 17 × 107 ) / 1

LCM(98,17,107) = 178262 / 1

LCM(98,17,107) = 178262


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 963/98, 558/17, 834/107

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 963/98, 558/17, 834/107?

Answer: GCF of Numerators as per given numbers 963/98, 558/17, 834/107 is

GCF of Numerators i.e. for 963,558,834 is 3

LCM of denominators i.e. for 98,17,107 is 178262.

Thus, GCF of Fractions is 3/178262.Finally, GCF of Fractions for 963/98, 558/17, 834/107 is 3/178262.