Greatest Common Factor of 233/87, 990/25, 962/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 233/87, 990/25, 962/852

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 233/87,990/25,962/852

Given fractions are 233/87,990/25,962/852

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 233,990,962

Greatest Common Factor of Numerators i.e. GCF of 233,990,962 is 1 .

LCM of Denominators means LCM of 87,25,852 as per the given fractions.

LCM of 87,25,852 is 617700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 233,990,962

GCF of Fractions 233/87,990/25,962/852 is 1/617700

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

Greatest Common Factor of 233,990,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,990,962 By Matching Biggest Common Factor Method

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 233,990,962 . The biggest common factor number is the GCF number.
So the greatest common factor 233,990,962 is 1.

Lets's calculate LCM of 87,25,852

3 87, 25, 852
29, 25, 284

∴ So the LCM of the given numbers is 3 x 29 x 25 x 284 = 617700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/617700

Therefore, the GCF of Fractions 233/87,990/25,962/852 is 1/617700

Least Common Multiple of 87,25,852 with GCF Formula

Least Common Multiple of 87,25,852 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 87,25,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,25,852) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,25,852) x common factors =1 x 3 = 3

LCM(87,25,852) = ( 87 × 25 × 852 ) / 3

LCM(87,25,852) = 1853100 / 3

LCM(87,25,852) = 617700


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 233/87, 990/25, 962/852

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 233/87, 990/25, 962/852?

Answer: GCF of Numerators as per given numbers 233/87, 990/25, 962/852 is

GCF of Numerators i.e. for 233,990,962 is 1

LCM of denominators i.e. for 87,25,852 is 617700.

Thus, GCF of Fractions is 1/617700.Finally, GCF of Fractions for 233/87, 990/25, 962/852 is 1/617700.