Greatest Common Factor of 465/188, 868/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 465/188, 868/341

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 465/188,868/341

Given fractions are 465/188,868/341

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 465,868

Greatest Common Factor of Numerators i.e. GCF of 465,868 is 31 .

LCM of Denominators means LCM of 188,341 as per the given fractions.

LCM of 188,341 is 64108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 465,868

GCF of Fractions 465/188,868/341 is 31/64108

31 465, 868
15, 28

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 465,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,868 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 465,868 . The biggest common factor number is the GCF number.
So the greatest common factor 465,868 is 31.

Lets's calculate LCM of 188,341

Given numbers has no common factors except 1. So, there LCM is their product i.e 64108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/64108

Therefore, the GCF of Fractions 465/188,868/341 is 31/64108

Least Common Multiple of 188,341 with GCF Formula

Least Common Multiple of 188,341 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 188,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,341) = 1

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

GCF(188,341) x common factors =1 x 1 = 1

LCM(188,341) = ( 188 × 341 ) / 1

LCM(188,341) = 64108 / 1

LCM(188,341) = 64108


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 465/188, 868/341

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 465/188, 868/341?

Answer: GCF of Numerators as per given numbers 465/188, 868/341 is

GCF of Numerators i.e. for 465,868 is 31

LCM of denominators i.e. for 188,341 is 64108.

Thus, GCF of Fractions is 31/64108.Finally, GCF of Fractions for 465/188, 868/341 is 31/64108.