Greatest Common Factor of 213/888, 964/865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 213/888, 964/865

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 213/888,964/865

Given fractions are 213/888,964/865

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 213,964

Greatest Common Factor of Numerators i.e. GCF of 213,964 is 1 .

LCM of Denominators means LCM of 888,865 as per the given fractions.

LCM of 888,865 is 768120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 213,964

GCF of Fractions 213/888,964/865 is 1/768120

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

Greatest Common Factor of 213,964 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,964 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Greatest Common Factor

We found the factors 213,964 . The biggest common factor number is the GCF number.
So the greatest common factor 213,964 is 1.

Lets's calculate LCM of 888,865

Given numbers has no common factors except 1. So, there LCM is their product i.e 768120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/768120

Therefore, the GCF of Fractions 213/888,964/865 is 1/768120

Least Common Multiple of 888,865 with GCF Formula

Least Common Multiple of 888,865 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 888,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(888,865) = 1

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

GCF(888,865) x common factors =1 x 1 = 1

LCM(888,865) = ( 888 × 865 ) / 1

LCM(888,865) = 768120 / 1

LCM(888,865) = 768120


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 213/888, 964/865

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 213/888, 964/865?

Answer: GCF of Numerators as per given numbers 213/888, 964/865 is

GCF of Numerators i.e. for 213,964 is 1

LCM of denominators i.e. for 888,865 is 768120.

Thus, GCF of Fractions is 1/768120.Finally, GCF of Fractions for 213/888, 964/865 is 1/768120.