Greatest Common Factor of 865/66, 160/78, 855/884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 865/66, 160/78, 855/884

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 865/66,160/78,855/884

Given fractions are 865/66,160/78,855/884

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 865,160,855

Greatest Common Factor of Numerators i.e. GCF of 865,160,855 is 5 .

LCM of Denominators means LCM of 66,78,884 as per the given fractions.

LCM of 66,78,884 is 29172 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 865,160,855

GCF of Fractions 865/66,160/78,855/884 is 5/29172

5 865, 160, 855
173, 32, 171

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 865,160,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,160,855 By Matching Biggest Common Factor Method

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 865,160,855 . The biggest common factor number is the GCF number.
So the greatest common factor 865,160,855 is 5.

Lets's calculate LCM of 66,78,884

2 66, 78, 884
3 33, 39, 442
13 11, 13, 442
11, 1, 34

∴ So the LCM of the given numbers is 2 x 3 x 13 x 11 x 1 x 34 = 29172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/29172

Therefore, the GCF of Fractions 865/66,160/78,855/884 is 5/29172

Least Common Multiple of 66,78,884 with GCF Formula

Least Common Multiple of 66,78,884 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 66,78,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,78,884) = 2

common factors(in case of two or more numbers have common factors) = 78

GCF(66,78,884) x common factors =2 x 78 = 156

LCM(66,78,884) = ( 66 × 78 × 884 ) / 156

LCM(66,78,884) = 4550832 / 156

LCM(66,78,884) = 29172


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 865/66, 160/78, 855/884

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 865/66, 160/78, 855/884?

Answer: GCF of Numerators as per given numbers 865/66, 160/78, 855/884 is

GCF of Numerators i.e. for 865,160,855 is 5

LCM of denominators i.e. for 66,78,884 is 29172.

Thus, GCF of Fractions is 5/29172.Finally, GCF of Fractions for 865/66, 160/78, 855/884 is 5/29172.