Greatest Common Factor of 3747/30, 5552/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3747/30, 5552/835

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 3747/30,5552/835

Given fractions are 3747/30,5552/835

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 3747,5552

Greatest Common Factor of Numerators i.e. GCF of 3747,5552 is 1 .

LCM of Denominators means LCM of 30,835 as per the given fractions.

LCM of 30,835 is 5010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3747,5552

GCF of Fractions 3747/30,5552/835 is 1/5010

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

Greatest Common Factor of 3747,5552 By Matching Biggest Common Factor Method

Greatest Common Factor of 3747,5552 By Matching Biggest Common Factor Method

Factors of 3747

List of positive integer factors of 3747 that divides 3747 without a remainder.

1,3,1249,3747

Factors of 5552

List of positive integer factors of 5552 that divides 5552 without a remainder.

1,2,4,8,16,347,694,1388,2776,5552

Greatest Common Factor

We found the factors 3747,5552 . The biggest common factor number is the GCF number.
So the greatest common factor 3747,5552 is 1.

Lets's calculate LCM of 30,835

5 30, 835
6, 167

∴ So the LCM of the given numbers is 5 x 6 x 167 = 5010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5010

Therefore, the GCF of Fractions 3747/30,5552/835 is 1/5010

Least Common Multiple of 30,835 with GCF Formula

Least Common Multiple of 30,835 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 30,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,835) = 5

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

GCF(30,835) x common factors =5 x 1 = 5

LCM(30,835) = ( 30 × 835 ) / 5

LCM(30,835) = 25050 / 5

LCM(30,835) = 5010


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 3747/30, 5552/835

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 3747/30, 5552/835?

Answer: GCF of Numerators as per given numbers 3747/30, 5552/835 is

GCF of Numerators i.e. for 3747,5552 is 1

LCM of denominators i.e. for 30,835 is 5010.

Thus, GCF of Fractions is 1/5010.Finally, GCF of Fractions for 3747/30, 5552/835 is 1/5010.