Greatest Common Factor of 276/371, 360/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 276/371, 360/867

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 276/371,360/867

Given fractions are 276/371,360/867

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 276,360

Greatest Common Factor of Numerators i.e. GCF of 276,360 is 12 .

LCM of Denominators means LCM of 371,867 as per the given fractions.

LCM of 371,867 is 321657 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 276,360

GCF of Fractions 276/371,360/867 is 12/321657

2 276, 360
2 138, 180
3 69, 90
23, 30

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 276,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,360 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 276,360 . The biggest common factor number is the GCF number.
So the greatest common factor 276,360 is 12.

Lets's calculate LCM of 371,867

Given numbers has no common factors except 1. So, there LCM is their product i.e 321657

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/321657

Therefore, the GCF of Fractions 276/371,360/867 is 12/321657

Least Common Multiple of 371,867 with GCF Formula

Least Common Multiple of 371,867 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 371,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,867) = 1

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

GCF(371,867) x common factors =1 x 1 = 1

LCM(371,867) = ( 371 × 867 ) / 1

LCM(371,867) = 321657 / 1

LCM(371,867) = 321657


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 276/371, 360/867

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 276/371, 360/867?

Answer: GCF of Numerators as per given numbers 276/371, 360/867 is

GCF of Numerators i.e. for 276,360 is 12

LCM of denominators i.e. for 371,867 is 321657.

Thus, GCF of Fractions is 12/321657.Finally, GCF of Fractions for 276/371, 360/867 is 12/321657.