Greatest Common Factor of 436/983, 145/906, 529/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 436/983, 145/906, 529/850

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 436/983,145/906,529/850

Given fractions are 436/983,145/906,529/850

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 436,145,529

Greatest Common Factor of Numerators i.e. GCF of 436,145,529 is 1 .

LCM of Denominators means LCM of 983,906,850 as per the given fractions.

LCM of 983,906,850 is 378504150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 436,145,529

GCF of Fractions 436/983,145/906,529/850 is 1/378504150

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

Greatest Common Factor of 436,145,529 By Matching Biggest Common Factor Method

Greatest Common Factor of 436,145,529 By Matching Biggest Common Factor Method

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Greatest Common Factor

We found the factors 436,145,529 . The biggest common factor number is the GCF number.
So the greatest common factor 436,145,529 is 1.

Lets's calculate LCM of 983,906,850

2 983, 906, 850
983, 453, 425

∴ So the LCM of the given numbers is 2 x 983 x 453 x 425 = 378504150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/378504150

Therefore, the GCF of Fractions 436/983,145/906,529/850 is 1/378504150

Least Common Multiple of 983,906,850 with GCF Formula

Least Common Multiple of 983,906,850 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 983,906,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,906,850) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(983,906,850) x common factors =1 x 2 = 2

LCM(983,906,850) = ( 983 × 906 × 850 ) / 2

LCM(983,906,850) = 757008300 / 2

LCM(983,906,850) = 378504150


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 436/983, 145/906, 529/850

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 436/983, 145/906, 529/850?

Answer: GCF of Numerators as per given numbers 436/983, 145/906, 529/850 is

GCF of Numerators i.e. for 436,145,529 is 1

LCM of denominators i.e. for 983,906,850 is 378504150.

Thus, GCF of Fractions is 1/378504150.Finally, GCF of Fractions for 436/983, 145/906, 529/850 is 1/378504150.