Greatest Common Factor of 252/418, 435/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 252/418, 435/683

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 252/418,435/683

Given fractions are 252/418,435/683

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 252,435

Greatest Common Factor of Numerators i.e. GCF of 252,435 is 3 .

LCM of Denominators means LCM of 418,683 as per the given fractions.

LCM of 418,683 is 285494 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 252,435

GCF of Fractions 252/418,435/683 is 3/285494

3 252, 435
84, 145

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

Greatest Common Factor of 252,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,435 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 252,435 . The biggest common factor number is the GCF number.
So the greatest common factor 252,435 is 3.

Lets's calculate LCM of 418,683

Given numbers has no common factors except 1. So, there LCM is their product i.e 285494

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/285494

Therefore, the GCF of Fractions 252/418,435/683 is 3/285494

Least Common Multiple of 418,683 with GCF Formula

Least Common Multiple of 418,683 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 418,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,683) = 1

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

GCF(418,683) x common factors =1 x 1 = 1

LCM(418,683) = ( 418 × 683 ) / 1

LCM(418,683) = 285494 / 1

LCM(418,683) = 285494


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 252/418, 435/683

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 252/418, 435/683?

Answer: GCF of Numerators as per given numbers 252/418, 435/683 is

GCF of Numerators i.e. for 252,435 is 3

LCM of denominators i.e. for 418,683 is 285494.

Thus, GCF of Fractions is 3/285494.Finally, GCF of Fractions for 252/418, 435/683 is 3/285494.