Greatest Common Factor of 7637/361, 1647/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7637/361, 1647/554

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 7637/361,1647/554

Given fractions are 7637/361,1647/554

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 7637,1647

Greatest Common Factor of Numerators i.e. GCF of 7637,1647 is 1 .

LCM of Denominators means LCM of 361,554 as per the given fractions.

LCM of 361,554 is 199994 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7637,1647

GCF of Fractions 7637/361,1647/554 is 1/199994

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

Greatest Common Factor of 7637,1647 By Matching Biggest Common Factor Method

Greatest Common Factor of 7637,1647 By Matching Biggest Common Factor Method

Factors of 7637

List of positive integer factors of 7637 that divides 7637 without a remainder.

1,7,1091,7637

Factors of 1647

List of positive integer factors of 1647 that divides 1647 without a remainder.

1,3,9,27,61,183,549,1647

Greatest Common Factor

We found the factors 7637,1647 . The biggest common factor number is the GCF number.
So the greatest common factor 7637,1647 is 1.

Lets's calculate LCM of 361,554

Given numbers has no common factors except 1. So, there LCM is their product i.e 199994

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199994

Therefore, the GCF of Fractions 7637/361,1647/554 is 1/199994

Least Common Multiple of 361,554 with GCF Formula

Least Common Multiple of 361,554 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 361,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,554) = 1

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

GCF(361,554) x common factors =1 x 1 = 1

LCM(361,554) = ( 361 × 554 ) / 1

LCM(361,554) = 199994 / 1

LCM(361,554) = 199994


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 7637/361, 1647/554

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 7637/361, 1647/554?

Answer: GCF of Numerators as per given numbers 7637/361, 1647/554 is

GCF of Numerators i.e. for 7637,1647 is 1

LCM of denominators i.e. for 361,554 is 199994.

Thus, GCF of Fractions is 1/199994.Finally, GCF of Fractions for 7637/361, 1647/554 is 1/199994.