Greatest Common Factor of 7465/171, 6869/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7465/171, 6869/385

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 7465/171,6869/385

Given fractions are 7465/171,6869/385

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 7465,6869

Greatest Common Factor of Numerators i.e. GCF of 7465,6869 is 1 .

LCM of Denominators means LCM of 171,385 as per the given fractions.

LCM of 171,385 is 65835 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7465,6869

GCF of Fractions 7465/171,6869/385 is 1/65835

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

Greatest Common Factor of 7465,6869 By Matching Biggest Common Factor Method

Greatest Common Factor of 7465,6869 By Matching Biggest Common Factor Method

Factors of 7465

List of positive integer factors of 7465 that divides 7465 without a remainder.

1,5,1493,7465

Factors of 6869

List of positive integer factors of 6869 that divides 6869 without a remainder.

1,6869

Greatest Common Factor

We found the factors 7465,6869 . The biggest common factor number is the GCF number.
So the greatest common factor 7465,6869 is 1.

Lets's calculate LCM of 171,385

Given numbers has no common factors except 1. So, there LCM is their product i.e 65835

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65835

Therefore, the GCF of Fractions 7465/171,6869/385 is 1/65835

Least Common Multiple of 171,385 with GCF Formula

Least Common Multiple of 171,385 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 171,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,385) = 1

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

GCF(171,385) x common factors =1 x 1 = 1

LCM(171,385) = ( 171 × 385 ) / 1

LCM(171,385) = 65835 / 1

LCM(171,385) = 65835


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 7465/171, 6869/385

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 7465/171, 6869/385?

Answer: GCF of Numerators as per given numbers 7465/171, 6869/385 is

GCF of Numerators i.e. for 7465,6869 is 1

LCM of denominators i.e. for 171,385 is 65835.

Thus, GCF of Fractions is 1/65835.Finally, GCF of Fractions for 7465/171, 6869/385 is 1/65835.