Greatest Common Factor of 4206/83, 7419/633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4206/83, 7419/633

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 4206/83,7419/633

Given fractions are 4206/83,7419/633

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 4206,7419

Greatest Common Factor of Numerators i.e. GCF of 4206,7419 is 3 .

LCM of Denominators means LCM of 83,633 as per the given fractions.

LCM of 83,633 is 52539 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4206,7419

GCF of Fractions 4206/83,7419/633 is 3/52539

3 4206, 7419
1402, 2473

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4206,7419 By Matching Biggest Common Factor Method

Greatest Common Factor of 4206,7419 By Matching Biggest Common Factor Method

Factors of 4206

List of positive integer factors of 4206 that divides 4206 without a remainder.

1,2,3,6,701,1402,2103,4206

Factors of 7419

List of positive integer factors of 7419 that divides 7419 without a remainder.

1,3,2473,7419

Greatest Common Factor

We found the factors 4206,7419 . The biggest common factor number is the GCF number.
So the greatest common factor 4206,7419 is 3.

Lets's calculate LCM of 83,633

Given numbers has no common factors except 1. So, there LCM is their product i.e 52539

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/52539

Therefore, the GCF of Fractions 4206/83,7419/633 is 3/52539

Least Common Multiple of 83,633 with GCF Formula

Least Common Multiple of 83,633 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 83,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,633) = 1

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

GCF(83,633) x common factors =1 x 1 = 1

LCM(83,633) = ( 83 × 633 ) / 1

LCM(83,633) = 52539 / 1

LCM(83,633) = 52539


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 4206/83, 7419/633

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 4206/83, 7419/633?

Answer: GCF of Numerators as per given numbers 4206/83, 7419/633 is

GCF of Numerators i.e. for 4206,7419 is 3

LCM of denominators i.e. for 83,633 is 52539.

Thus, GCF of Fractions is 3/52539.Finally, GCF of Fractions for 4206/83, 7419/633 is 3/52539.