Greatest Common Factor of 3689/554, 4746/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3689/554, 4746/872

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 3689/554,4746/872

Given fractions are 3689/554,4746/872

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 3689,4746

Greatest Common Factor of Numerators i.e. GCF of 3689,4746 is 7 .

LCM of Denominators means LCM of 554,872 as per the given fractions.

LCM of 554,872 is 241544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3689,4746

GCF of Fractions 3689/554,4746/872 is 7/241544

7 3689, 4746
527, 678

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 3689,4746 By Matching Biggest Common Factor Method

Greatest Common Factor of 3689,4746 By Matching Biggest Common Factor Method

Factors of 3689

List of positive integer factors of 3689 that divides 3689 without a remainder.

1,7,17,31,119,217,527,3689

Factors of 4746

List of positive integer factors of 4746 that divides 4746 without a remainder.

1,2,3,6,7,14,21,42,113,226,339,678,791,1582,2373,4746

Greatest Common Factor

We found the factors 3689,4746 . The biggest common factor number is the GCF number.
So the greatest common factor 3689,4746 is 7.

Lets's calculate LCM of 554,872

2 554, 872
277, 436

∴ So the LCM of the given numbers is 2 x 277 x 436 = 241544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/241544

Therefore, the GCF of Fractions 3689/554,4746/872 is 7/241544

Least Common Multiple of 554,872 with GCF Formula

Least Common Multiple of 554,872 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 554,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(554,872) = 2

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

GCF(554,872) x common factors =2 x 1 = 2

LCM(554,872) = ( 554 × 872 ) / 2

LCM(554,872) = 483088 / 2

LCM(554,872) = 241544


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 3689/554, 4746/872

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 3689/554, 4746/872?

Answer: GCF of Numerators as per given numbers 3689/554, 4746/872 is

GCF of Numerators i.e. for 3689,4746 is 7

LCM of denominators i.e. for 554,872 is 241544.

Thus, GCF of Fractions is 7/241544.Finally, GCF of Fractions for 3689/554, 4746/872 is 7/241544.