Greatest Common Factor of 643/16, 841/35, 476/17

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 643/16, 841/35, 476/17

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 643/16,841/35,476/17

Given fractions are 643/16,841/35,476/17

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 643,841,476

Greatest Common Factor of Numerators i.e. GCF of 643,841,476 is 1 .

LCM of Denominators means LCM of 16,35,17 as per the given fractions.

LCM of 16,35,17 is 9520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 643,841,476

GCF of Fractions 643/16,841/35,476/17 is 1/9520

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

Greatest Common Factor of 643,841,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 643,841,476 By Matching Biggest Common Factor Method

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 643,841,476 . The biggest common factor number is the GCF number.
So the greatest common factor 643,841,476 is 1.

Lets's calculate LCM of 16,35,17

Given numbers has no common factors except 1. So, there LCM is their product i.e 9520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9520

Therefore, the GCF of Fractions 643/16,841/35,476/17 is 1/9520

Least Common Multiple of 16,35,17 with GCF Formula

Least Common Multiple of 16,35,17 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 16,35,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,35,17) = 1

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

GCF(16,35,17) x common factors =1 x 1 = 1

LCM(16,35,17) = ( 16 × 35 × 17 ) / 1

LCM(16,35,17) = 9520 / 1

LCM(16,35,17) = 9520


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 643/16, 841/35, 476/17

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 643/16, 841/35, 476/17?

Answer: GCF of Numerators as per given numbers 643/16, 841/35, 476/17 is

GCF of Numerators i.e. for 643,841,476 is 1

LCM of denominators i.e. for 16,35,17 is 9520.

Thus, GCF of Fractions is 1/9520.Finally, GCF of Fractions for 643/16, 841/35, 476/17 is 1/9520.