Greatest Common Factor of 17/376, 372/795, 418/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/376, 372/795, 418/287

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 17/376,372/795,418/287

Given fractions are 17/376,372/795,418/287

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 17,372,418

Greatest Common Factor of Numerators i.e. GCF of 17,372,418 is 1 .

LCM of Denominators means LCM of 376,795,287 as per the given fractions.

LCM of 376,795,287 is 85790040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,372,418

GCF of Fractions 17/376,372/795,418/287 is 1/85790040

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

Greatest Common Factor of 17,372,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,372,418 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 17,372,418 . The biggest common factor number is the GCF number.
So the greatest common factor 17,372,418 is 1.

Lets's calculate LCM of 376,795,287

Given numbers has no common factors except 1. So, there LCM is their product i.e 85790040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85790040

Therefore, the GCF of Fractions 17/376,372/795,418/287 is 1/85790040

Least Common Multiple of 376,795,287 with GCF Formula

Least Common Multiple of 376,795,287 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 376,795,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,795,287) = 1

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

GCF(376,795,287) x common factors =1 x 1 = 1

LCM(376,795,287) = ( 376 × 795 × 287 ) / 1

LCM(376,795,287) = 85790040 / 1

LCM(376,795,287) = 85790040


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 17/376, 372/795, 418/287

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 17/376, 372/795, 418/287?

Answer: GCF of Numerators as per given numbers 17/376, 372/795, 418/287 is

GCF of Numerators i.e. for 17,372,418 is 1

LCM of denominators i.e. for 376,795,287 is 85790040.

Thus, GCF of Fractions is 1/85790040.Finally, GCF of Fractions for 17/376, 372/795, 418/287 is 1/85790040.