Greatest Common Factor of 2861/460, 9255/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2861/460, 9255/312

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 2861/460,9255/312

Given fractions are 2861/460,9255/312

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 2861,9255

Greatest Common Factor of Numerators i.e. GCF of 2861,9255 is 1 .

LCM of Denominators means LCM of 460,312 as per the given fractions.

LCM of 460,312 is 35880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2861,9255

GCF of Fractions 2861/460,9255/312 is 1/35880

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

Greatest Common Factor of 2861,9255 By Matching Biggest Common Factor Method

Greatest Common Factor of 2861,9255 By Matching Biggest Common Factor Method

Factors of 2861

List of positive integer factors of 2861 that divides 2861 without a remainder.

1,2861

Factors of 9255

List of positive integer factors of 9255 that divides 9255 without a remainder.

1,3,5,15,617,1851,3085,9255

Greatest Common Factor

We found the factors 2861,9255 . The biggest common factor number is the GCF number.
So the greatest common factor 2861,9255 is 1.

Lets's calculate LCM of 460,312

2 460, 312
2 230, 156
115, 78

∴ So the LCM of the given numbers is 2 x 2 x 115 x 78 = 35880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35880

Therefore, the GCF of Fractions 2861/460,9255/312 is 1/35880

Least Common Multiple of 460,312 with GCF Formula

Least Common Multiple of 460,312 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 460,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,312) = 4

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

GCF(460,312) x common factors =4 x 1 = 4

LCM(460,312) = ( 460 × 312 ) / 4

LCM(460,312) = 143520 / 4

LCM(460,312) = 35880


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 2861/460, 9255/312

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 2861/460, 9255/312?

Answer: GCF of Numerators as per given numbers 2861/460, 9255/312 is

GCF of Numerators i.e. for 2861,9255 is 1

LCM of denominators i.e. for 460,312 is 35880.

Thus, GCF of Fractions is 1/35880.Finally, GCF of Fractions for 2861/460, 9255/312 is 1/35880.