Greatest Common Factor of 215/896, 686/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 215/896, 686/768

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 215/896,686/768

Given fractions are 215/896,686/768

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 215,686

Greatest Common Factor of Numerators i.e. GCF of 215,686 is 1 .

LCM of Denominators means LCM of 896,768 as per the given fractions.

LCM of 896,768 is 5376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 215,686

GCF of Fractions 215/896,686/768 is 1/5376

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

Greatest Common Factor of 215,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 215,686 By Matching Biggest Common Factor Method

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 215,686 . The biggest common factor number is the GCF number.
So the greatest common factor 215,686 is 1.

Lets's calculate LCM of 896,768

2 896, 768
2 448, 384
2 224, 192
2 112, 96
2 56, 48
2 28, 24
2 14, 12
7, 6

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 6 = 5376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5376

Therefore, the GCF of Fractions 215/896,686/768 is 1/5376

Least Common Multiple of 896,768 with GCF Formula

Least Common Multiple of 896,768 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 896,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,768) = 128

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

GCF(896,768) x common factors =128 x 1 = 128

LCM(896,768) = ( 896 × 768 ) / 128

LCM(896,768) = 688128 / 128

LCM(896,768) = 5376


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 215/896, 686/768

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 215/896, 686/768?

Answer: GCF of Numerators as per given numbers 215/896, 686/768 is

GCF of Numerators i.e. for 215,686 is 1

LCM of denominators i.e. for 896,768 is 5376.

Thus, GCF of Fractions is 1/5376.Finally, GCF of Fractions for 215/896, 686/768 is 1/5376.