Greatest Common Factor of 5689/633, 9049/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5689/633, 9049/142

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 5689/633,9049/142

Given fractions are 5689/633,9049/142

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 5689,9049

Greatest Common Factor of Numerators i.e. GCF of 5689,9049 is 1 .

LCM of Denominators means LCM of 633,142 as per the given fractions.

LCM of 633,142 is 89886 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5689,9049

GCF of Fractions 5689/633,9049/142 is 1/89886

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

Greatest Common Factor of 5689,9049 By Matching Biggest Common Factor Method

Greatest Common Factor of 5689,9049 By Matching Biggest Common Factor Method

Factors of 5689

List of positive integer factors of 5689 that divides 5689 without a remainder.

1,5689

Factors of 9049

List of positive integer factors of 9049 that divides 9049 without a remainder.

1,9049

Greatest Common Factor

We found the factors 5689,9049 . The biggest common factor number is the GCF number.
So the greatest common factor 5689,9049 is 1.

Lets's calculate LCM of 633,142

Given numbers has no common factors except 1. So, there LCM is their product i.e 89886

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89886

Therefore, the GCF of Fractions 5689/633,9049/142 is 1/89886

Least Common Multiple of 633,142 with GCF Formula

Least Common Multiple of 633,142 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 633,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(633,142) = 1

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

GCF(633,142) x common factors =1 x 1 = 1

LCM(633,142) = ( 633 × 142 ) / 1

LCM(633,142) = 89886 / 1

LCM(633,142) = 89886


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 5689/633, 9049/142

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 5689/633, 9049/142?

Answer: GCF of Numerators as per given numbers 5689/633, 9049/142 is

GCF of Numerators i.e. for 5689,9049 is 1

LCM of denominators i.e. for 633,142 is 89886.

Thus, GCF of Fractions is 1/89886.Finally, GCF of Fractions for 5689/633, 9049/142 is 1/89886.