Greatest Common Factor of 4202/432, 5924/899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4202/432, 5924/899

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 4202/432,5924/899

Given fractions are 4202/432,5924/899

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 4202,5924

Greatest Common Factor of Numerators i.e. GCF of 4202,5924 is 2 .

LCM of Denominators means LCM of 432,899 as per the given fractions.

LCM of 432,899 is 388368 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4202,5924

GCF of Fractions 4202/432,5924/899 is 2/388368

2 4202, 5924
2101, 2962

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4202,5924 By Matching Biggest Common Factor Method

Greatest Common Factor of 4202,5924 By Matching Biggest Common Factor Method

Factors of 4202

List of positive integer factors of 4202 that divides 4202 without a remainder.

1,2,11,22,191,382,2101,4202

Factors of 5924

List of positive integer factors of 5924 that divides 5924 without a remainder.

1,2,4,1481,2962,5924

Greatest Common Factor

We found the factors 4202,5924 . The biggest common factor number is the GCF number.
So the greatest common factor 4202,5924 is 2.

Lets's calculate LCM of 432,899

Given numbers has no common factors except 1. So, there LCM is their product i.e 388368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/388368

Therefore, the GCF of Fractions 4202/432,5924/899 is 2/388368

Least Common Multiple of 432,899 with GCF Formula

Least Common Multiple of 432,899 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 432,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,899) = 1

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

GCF(432,899) x common factors =1 x 1 = 1

LCM(432,899) = ( 432 × 899 ) / 1

LCM(432,899) = 388368 / 1

LCM(432,899) = 388368


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 4202/432, 5924/899

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 4202/432, 5924/899?

Answer: GCF of Numerators as per given numbers 4202/432, 5924/899 is

GCF of Numerators i.e. for 4202,5924 is 2

LCM of denominators i.e. for 432,899 is 388368.

Thus, GCF of Fractions is 2/388368.Finally, GCF of Fractions for 4202/432, 5924/899 is 2/388368.