Greatest Common Factor of 5649/37, 5018/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5649/37, 5018/692

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 5649/37,5018/692

Given fractions are 5649/37,5018/692

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 5649,5018

Greatest Common Factor of Numerators i.e. GCF of 5649,5018 is 1 .

LCM of Denominators means LCM of 37,692 as per the given fractions.

LCM of 37,692 is 25604 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5649,5018

GCF of Fractions 5649/37,5018/692 is 1/25604

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

Greatest Common Factor of 5649,5018 By Matching Biggest Common Factor Method

Greatest Common Factor of 5649,5018 By Matching Biggest Common Factor Method

Factors of 5649

List of positive integer factors of 5649 that divides 5649 without a remainder.

1,3,7,21,269,807,1883,5649

Factors of 5018

List of positive integer factors of 5018 that divides 5018 without a remainder.

1,2,13,26,193,386,2509,5018

Greatest Common Factor

We found the factors 5649,5018 . The biggest common factor number is the GCF number.
So the greatest common factor 5649,5018 is 1.

Lets's calculate LCM of 37,692

Given numbers has no common factors except 1. So, there LCM is their product i.e 25604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25604

Therefore, the GCF of Fractions 5649/37,5018/692 is 1/25604

Least Common Multiple of 37,692 with GCF Formula

Least Common Multiple of 37,692 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 37,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,692) = 1

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

GCF(37,692) x common factors =1 x 1 = 1

LCM(37,692) = ( 37 × 692 ) / 1

LCM(37,692) = 25604 / 1

LCM(37,692) = 25604


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 5649/37, 5018/692

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 5649/37, 5018/692?

Answer: GCF of Numerators as per given numbers 5649/37, 5018/692 is

GCF of Numerators i.e. for 5649,5018 is 1

LCM of denominators i.e. for 37,692 is 25604.

Thus, GCF of Fractions is 1/25604.Finally, GCF of Fractions for 5649/37, 5018/692 is 1/25604.