Greatest Common Factor of 547/627, 4403/3267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 547/627, 4403/3267

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 547/627,4403/3267

Given fractions are 547/627,4403/3267

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 547,4403

Greatest Common Factor of Numerators i.e. GCF of 547,4403 is 1 .

LCM of Denominators means LCM of 627,3267 as per the given fractions.

LCM of 627,3267 is 62073 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 547,4403

GCF of Fractions 547/627,4403/3267 is 1/62073

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

Greatest Common Factor of 547,4403 By Matching Biggest Common Factor Method

Greatest Common Factor of 547,4403 By Matching Biggest Common Factor Method

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Factors of 4403

List of positive integer factors of 4403 that divides 4403 without a remainder.

1,7,17,37,119,259,629,4403

Greatest Common Factor

We found the factors 547,4403 . The biggest common factor number is the GCF number.
So the greatest common factor 547,4403 is 1.

Lets's calculate LCM of 627,3267

3 627, 3267
11 209, 1089
19, 99

∴ So the LCM of the given numbers is 3 x 11 x 19 x 99 = 62073

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62073

Therefore, the GCF of Fractions 547/627,4403/3267 is 1/62073

Least Common Multiple of 627,3267 with GCF Formula

Least Common Multiple of 627,3267 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 627,3267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(627,3267) = 33

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

GCF(627,3267) x common factors =33 x 1 = 33

LCM(627,3267) = ( 627 × 3267 ) / 33

LCM(627,3267) = 2048409 / 33

LCM(627,3267) = 62073


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 547/627, 4403/3267

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 547/627, 4403/3267?

Answer: GCF of Numerators as per given numbers 547/627, 4403/3267 is

GCF of Numerators i.e. for 547,4403 is 1

LCM of denominators i.e. for 627,3267 is 62073.

Thus, GCF of Fractions is 1/62073.Finally, GCF of Fractions for 547/627, 4403/3267 is 1/62073.