Greatest Common Factor of 872/120, 670/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 872/120, 670/276

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 872/120,670/276

Given fractions are 872/120,670/276

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 872,670

Greatest Common Factor of Numerators i.e. GCF of 872,670 is 2 .

LCM of Denominators means LCM of 120,276 as per the given fractions.

LCM of 120,276 is 2760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 872,670

GCF of Fractions 872/120,670/276 is 2/2760

2 872, 670
436, 335

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 872,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,670 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 872,670 . The biggest common factor number is the GCF number.
So the greatest common factor 872,670 is 2.

Lets's calculate LCM of 120,276

2 120, 276
2 60, 138
3 30, 69
10, 23

∴ So the LCM of the given numbers is 2 x 2 x 3 x 10 x 23 = 2760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2760

Therefore, the GCF of Fractions 872/120,670/276 is 2/2760

Least Common Multiple of 120,276 with GCF Formula

Least Common Multiple of 120,276 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 120,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,276) = 12

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

GCF(120,276) x common factors =12 x 1 = 12

LCM(120,276) = ( 120 × 276 ) / 12

LCM(120,276) = 33120 / 12

LCM(120,276) = 2760


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 872/120, 670/276

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 872/120, 670/276?

Answer: GCF of Numerators as per given numbers 872/120, 670/276 is

GCF of Numerators i.e. for 872,670 is 2

LCM of denominators i.e. for 120,276 is 2760.

Thus, GCF of Fractions is 2/2760.Finally, GCF of Fractions for 872/120, 670/276 is 2/2760.