Greatest Common Factor of 9878/968, 5162/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9878/968, 5162/741

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 9878/968,5162/741

Given fractions are 9878/968,5162/741

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 9878,5162

Greatest Common Factor of Numerators i.e. GCF of 9878,5162 is 2 .

LCM of Denominators means LCM of 968,741 as per the given fractions.

LCM of 968,741 is 717288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9878,5162

GCF of Fractions 9878/968,5162/741 is 2/717288

2 9878, 5162
4939, 2581

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9878,5162 By Matching Biggest Common Factor Method

Greatest Common Factor of 9878,5162 By Matching Biggest Common Factor Method

Factors of 9878

List of positive integer factors of 9878 that divides 9878 without a remainder.

1,2,11,22,449,898,4939,9878

Factors of 5162

List of positive integer factors of 5162 that divides 5162 without a remainder.

1,2,29,58,89,178,2581,5162

Greatest Common Factor

We found the factors 9878,5162 . The biggest common factor number is the GCF number.
So the greatest common factor 9878,5162 is 2.

Lets's calculate LCM of 968,741

Given numbers has no common factors except 1. So, there LCM is their product i.e 717288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/717288

Therefore, the GCF of Fractions 9878/968,5162/741 is 2/717288

Least Common Multiple of 968,741 with GCF Formula

Least Common Multiple of 968,741 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 968,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,741) = 1

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

GCF(968,741) x common factors =1 x 1 = 1

LCM(968,741) = ( 968 × 741 ) / 1

LCM(968,741) = 717288 / 1

LCM(968,741) = 717288


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 9878/968, 5162/741

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 9878/968, 5162/741?

Answer: GCF of Numerators as per given numbers 9878/968, 5162/741 is

GCF of Numerators i.e. for 9878,5162 is 2

LCM of denominators i.e. for 968,741 is 717288.

Thus, GCF of Fractions is 2/717288.Finally, GCF of Fractions for 9878/968, 5162/741 is 2/717288.