Greatest Common Factor of 201/99, 969/31, 228/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 201/99, 969/31, 228/964

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 201/99,969/31,228/964

Given fractions are 201/99,969/31,228/964

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 201,969,228

Greatest Common Factor of Numerators i.e. GCF of 201,969,228 is 3 .

LCM of Denominators means LCM of 99,31,964 as per the given fractions.

LCM of 99,31,964 is 2958516 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 201,969,228

GCF of Fractions 201/99,969/31,228/964 is 3/2958516

3 201, 969, 228
67, 323, 76

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 201,969,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 201,969,228 By Matching Biggest Common Factor Method

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 201,969,228 . The biggest common factor number is the GCF number.
So the greatest common factor 201,969,228 is 3.

Lets's calculate LCM of 99,31,964

Given numbers has no common factors except 1. So, there LCM is their product i.e 2958516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2958516

Therefore, the GCF of Fractions 201/99,969/31,228/964 is 3/2958516

Least Common Multiple of 99,31,964 with GCF Formula

Least Common Multiple of 99,31,964 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 99,31,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,31,964) = 1

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

GCF(99,31,964) x common factors =1 x 1 = 1

LCM(99,31,964) = ( 99 × 31 × 964 ) / 1

LCM(99,31,964) = 2958516 / 1

LCM(99,31,964) = 2958516


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 201/99, 969/31, 228/964

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 201/99, 969/31, 228/964?

Answer: GCF of Numerators as per given numbers 201/99, 969/31, 228/964 is

GCF of Numerators i.e. for 201,969,228 is 3

LCM of denominators i.e. for 99,31,964 is 2958516.

Thus, GCF of Fractions is 3/2958516.Finally, GCF of Fractions for 201/99, 969/31, 228/964 is 3/2958516.