Greatest Common Factor of 435/850, 376/914, 441/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 435/850, 376/914, 441/420

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 435/850,376/914,441/420

Given fractions are 435/850,376/914,441/420

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 435,376,441

Greatest Common Factor of Numerators i.e. GCF of 435,376,441 is 1 .

LCM of Denominators means LCM of 850,914,420 as per the given fractions.

LCM of 850,914,420 is 16314900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 435,376,441

GCF of Fractions 435/850,376/914,441/420 is 1/16314900

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

Greatest Common Factor of 435,376,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 435,376,441 By Matching Biggest Common Factor Method

Factors of 435

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

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

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 435,376,441 . The biggest common factor number is the GCF number.
So the greatest common factor 435,376,441 is 1.

Lets's calculate LCM of 850,914,420

2 850, 914, 420
5 425, 457, 210
85, 457, 42

∴ So the LCM of the given numbers is 2 x 5 x 85 x 457 x 42 = 16314900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16314900

Therefore, the GCF of Fractions 435/850,376/914,441/420 is 1/16314900

Least Common Multiple of 850,914,420 with GCF Formula

Least Common Multiple of 850,914,420 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 850,914,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,914,420) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(850,914,420) x common factors =2 x 10 = 20

LCM(850,914,420) = ( 850 × 914 × 420 ) / 20

LCM(850,914,420) = 326298000 / 20

LCM(850,914,420) = 16314900


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 435/850, 376/914, 441/420

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 435/850, 376/914, 441/420?

Answer: GCF of Numerators as per given numbers 435/850, 376/914, 441/420 is

GCF of Numerators i.e. for 435,376,441 is 1

LCM of denominators i.e. for 850,914,420 is 16314900.

Thus, GCF of Fractions is 1/16314900.Finally, GCF of Fractions for 435/850, 376/914, 441/420 is 1/16314900.