Greatest Common Factor of 128/66, 2869/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 128/66, 2869/862

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 128/66,2869/862

Given fractions are 128/66,2869/862

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 128,2869

Greatest Common Factor of Numerators i.e. GCF of 128,2869 is 1 .

LCM of Denominators means LCM of 66,862 as per the given fractions.

LCM of 66,862 is 28446 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 128,2869

GCF of Fractions 128/66,2869/862 is 1/28446

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

Greatest Common Factor of 128,2869 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,2869 By Matching Biggest Common Factor Method

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 2869

List of positive integer factors of 2869 that divides 2869 without a remainder.

1,19,151,2869

Greatest Common Factor

We found the factors 128,2869 . The biggest common factor number is the GCF number.
So the greatest common factor 128,2869 is 1.

Lets's calculate LCM of 66,862

2 66, 862
33, 431

∴ So the LCM of the given numbers is 2 x 33 x 431 = 28446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28446

Therefore, the GCF of Fractions 128/66,2869/862 is 1/28446

Least Common Multiple of 66,862 with GCF Formula

Least Common Multiple of 66,862 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 66,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,862) = 2

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

GCF(66,862) x common factors =2 x 1 = 2

LCM(66,862) = ( 66 × 862 ) / 2

LCM(66,862) = 56892 / 2

LCM(66,862) = 28446


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 128/66, 2869/862

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 128/66, 2869/862?

Answer: GCF of Numerators as per given numbers 128/66, 2869/862 is

GCF of Numerators i.e. for 128,2869 is 1

LCM of denominators i.e. for 66,862 is 28446.

Thus, GCF of Fractions is 1/28446.Finally, GCF of Fractions for 128/66, 2869/862 is 1/28446.