Greatest Common Factor of 881/65, 136/69, 105/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 881/65, 136/69, 105/736

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 881/65,136/69,105/736

Given fractions are 881/65,136/69,105/736

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 881,136,105

Greatest Common Factor of Numerators i.e. GCF of 881,136,105 is 1 .

LCM of Denominators means LCM of 65,69,736 as per the given fractions.

LCM of 65,69,736 is 143520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 881,136,105

GCF of Fractions 881/65,136/69,105/736 is 1/143520

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

Greatest Common Factor of 881,136,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 881,136,105 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 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 881,136,105 . The biggest common factor number is the GCF number.
So the greatest common factor 881,136,105 is 1.

Lets's calculate LCM of 65,69,736

23 65, 69, 736
65, 3, 32

∴ So the LCM of the given numbers is 23 x 65 x 3 x 32 = 143520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143520

Therefore, the GCF of Fractions 881/65,136/69,105/736 is 1/143520

Least Common Multiple of 65,69,736 with GCF Formula

Least Common Multiple of 65,69,736 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 65,69,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,69,736) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(65,69,736) x common factors =1 x 23 = 23

LCM(65,69,736) = ( 65 × 69 × 736 ) / 23

LCM(65,69,736) = 3300960 / 23

LCM(65,69,736) = 143520


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 881/65, 136/69, 105/736

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 881/65, 136/69, 105/736?

Answer: GCF of Numerators as per given numbers 881/65, 136/69, 105/736 is

GCF of Numerators i.e. for 881,136,105 is 1

LCM of denominators i.e. for 65,69,736 is 143520.

Thus, GCF of Fractions is 1/143520.Finally, GCF of Fractions for 881/65, 136/69, 105/736 is 1/143520.