Greatest Common Factor of 2454/85, 6765/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2454/85, 6765/367

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 2454/85,6765/367

Given fractions are 2454/85,6765/367

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 2454,6765

Greatest Common Factor of Numerators i.e. GCF of 2454,6765 is 3 .

LCM of Denominators means LCM of 85,367 as per the given fractions.

LCM of 85,367 is 31195 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2454,6765

GCF of Fractions 2454/85,6765/367 is 3/31195

3 2454, 6765
818, 2255

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2454,6765 By Matching Biggest Common Factor Method

Greatest Common Factor of 2454,6765 By Matching Biggest Common Factor Method

Factors of 2454

List of positive integer factors of 2454 that divides 2454 without a remainder.

1,2,3,6,409,818,1227,2454

Factors of 6765

List of positive integer factors of 6765 that divides 6765 without a remainder.

1,3,5,11,15,33,41,55,123,165,205,451,615,1353,2255,6765

Greatest Common Factor

We found the factors 2454,6765 . The biggest common factor number is the GCF number.
So the greatest common factor 2454,6765 is 3.

Lets's calculate LCM of 85,367

Given numbers has no common factors except 1. So, there LCM is their product i.e 31195

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/31195

Therefore, the GCF of Fractions 2454/85,6765/367 is 3/31195

Least Common Multiple of 85,367 with GCF Formula

Least Common Multiple of 85,367 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 85,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,367) = 1

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

GCF(85,367) x common factors =1 x 1 = 1

LCM(85,367) = ( 85 × 367 ) / 1

LCM(85,367) = 31195 / 1

LCM(85,367) = 31195


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 2454/85, 6765/367

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 2454/85, 6765/367?

Answer: GCF of Numerators as per given numbers 2454/85, 6765/367 is

GCF of Numerators i.e. for 2454,6765 is 3

LCM of denominators i.e. for 85,367 is 31195.

Thus, GCF of Fractions is 3/31195.Finally, GCF of Fractions for 2454/85, 6765/367 is 3/31195.