Greatest Common Factor of 4123/624, 5372/5655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 4123/624, 5372/5655

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 4123/624,5372/5655

Given fractions are 4123/624,5372/5655

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 4123,5372

Greatest Common Factor of Numerators i.e. GCF of 4123,5372 is 1 .

LCM of Denominators means LCM of 624,5655 as per the given fractions.

LCM of 624,5655 is 90480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4123,5372

GCF of Fractions 4123/624,5372/5655 is 1/90480

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

Greatest Common Factor of 4123,5372 By Matching Biggest Common Factor Method

Greatest Common Factor of 4123,5372 By Matching Biggest Common Factor Method

Factors of 4123

List of positive integer factors of 4123 that divides 4123 without a remainder.

1,7,19,31,133,217,589,4123

Factors of 5372

List of positive integer factors of 5372 that divides 5372 without a remainder.

1,2,4,17,34,68,79,158,316,1343,2686,5372

Greatest Common Factor

We found the factors 4123,5372 . The biggest common factor number is the GCF number.
So the greatest common factor 4123,5372 is 1.


Lets's calculate LCM of 624,5655

3 624, 5655
13 208, 1885
16, 145

∴ So the LCM of the given numbers is 3 x 13 x 16 x 145 = 90480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90480

Therefore, the GCF of Fractions 4123/624,5372/5655 is 1/90480

Least Common Multiple of 624,5655 with GCF Formula

Least Common Multiple of 624,5655 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 624,5655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,5655) = 39

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

GCF(624,5655) x common factors =39 x 1 = 39

LCM(624,5655) = ( 624 × 5655 ) / 39

LCM(624,5655) = 3528720 / 39

LCM(624,5655) = 90480


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 4123/624, 5372/5655

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 4123/624, 5372/5655?

Answer: GCF of Numerators as per given numbers 4123/624, 5372/5655 is

GCF of Numerators i.e. for 4123,5372 is 1

LCM of denominators i.e. for 624,5655 is 90480.

Thus, GCF of Fractions is 1/90480.Finally, GCF of Fractions for 4123/624, 5372/5655 is 1/90480.