Greatest Common Factor of 881/872, 5162/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 881/872, 5162/311

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 881/872,5162/311

Given fractions are 881/872,5162/311

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 881,5162

Greatest Common Factor of Numerators i.e. GCF of 881,5162 is 1 .

LCM of Denominators means LCM of 872,311 as per the given fractions.

LCM of 872,311 is 271192 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 881,5162

GCF of Fractions 881/872,5162/311 is 1/271192

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

Greatest Common Factor of 881,5162 By Matching Biggest Common Factor Method

Greatest Common Factor of 881,5162 By Matching Biggest Common Factor Method

Factors of 881

List of positive integer factors of 881 that divides 881 without a remainder.

1,881

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 881,5162 . The biggest common factor number is the GCF number.
So the greatest common factor 881,5162 is 1.


Lets's calculate LCM of 872,311

Given numbers has no common factors except 1. So, there LCM is their product i.e 271192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/271192

Therefore, the GCF of Fractions 881/872,5162/311 is 1/271192

Least Common Multiple of 872,311 with GCF Formula

Least Common Multiple of 872,311 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 872,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,311) = 1

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

GCF(872,311) x common factors =1 x 1 = 1

LCM(872,311) = ( 872 × 311 ) / 1

LCM(872,311) = 271192 / 1

LCM(872,311) = 271192


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 881/872, 5162/311

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 881/872, 5162/311?

Answer: GCF of Numerators as per given numbers 881/872, 5162/311 is

GCF of Numerators i.e. for 881,5162 is 1

LCM of denominators i.e. for 872,311 is 271192.

Thus, GCF of Fractions is 1/271192.Finally, GCF of Fractions for 881/872, 5162/311 is 1/271192.