Greatest Common Factor of 361/865, 2808/1376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 361/865, 2808/1376

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 361/865,2808/1376

Given fractions are 361/865,2808/1376

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 361,2808

Greatest Common Factor of Numerators i.e. GCF of 361,2808 is 1 .

LCM of Denominators means LCM of 865,1376 as per the given fractions.

LCM of 865,1376 is 1190240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 361,2808

GCF of Fractions 361/865,2808/1376 is 1/1190240

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

Greatest Common Factor of 361,2808 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,2808 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 2808

List of positive integer factors of 2808 that divides 2808 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,27,36,39,52,54,72,78,104,108,117,156,216,234,312,351,468,702,936,1404,2808

Greatest Common Factor

We found the factors 361,2808 . The biggest common factor number is the GCF number.
So the greatest common factor 361,2808 is 1.

Lets's calculate LCM of 865,1376

Given numbers has no common factors except 1. So, there LCM is their product i.e 1190240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1190240

Therefore, the GCF of Fractions 361/865,2808/1376 is 1/1190240

Least Common Multiple of 865,1376 with GCF Formula

Least Common Multiple of 865,1376 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 865,1376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(865,1376) = 1

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

GCF(865,1376) x common factors =1 x 1 = 1

LCM(865,1376) = ( 865 × 1376 ) / 1

LCM(865,1376) = 1190240 / 1

LCM(865,1376) = 1190240


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 361/865, 2808/1376

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 361/865, 2808/1376?

Answer: GCF of Numerators as per given numbers 361/865, 2808/1376 is

GCF of Numerators i.e. for 361,2808 is 1

LCM of denominators i.e. for 865,1376 is 1190240.

Thus, GCF of Fractions is 1/1190240.Finally, GCF of Fractions for 361/865, 2808/1376 is 1/1190240.