Greatest Common Factor of 418/17, 374/55, 800/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 418/17, 374/55, 800/108

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 418/17,374/55,800/108

Given fractions are 418/17,374/55,800/108

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 418,374,800

Greatest Common Factor of Numerators i.e. GCF of 418,374,800 is 2 .

LCM of Denominators means LCM of 17,55,108 as per the given fractions.

LCM of 17,55,108 is 100980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 418,374,800

GCF of Fractions 418/17,374/55,800/108 is 2/100980

2 418, 374, 800
209, 187, 400

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 418,374,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,374,800 By Matching Biggest Common Factor Method

Factors of 418

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

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

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 418,374,800 . The biggest common factor number is the GCF number.
So the greatest common factor 418,374,800 is 2.

Lets's calculate LCM of 17,55,108

Given numbers has no common factors except 1. So, there LCM is their product i.e 100980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/100980

Therefore, the GCF of Fractions 418/17,374/55,800/108 is 2/100980

Least Common Multiple of 17,55,108 with GCF Formula

Least Common Multiple of 17,55,108 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 17,55,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,55,108) = 1

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

GCF(17,55,108) x common factors =1 x 1 = 1

LCM(17,55,108) = ( 17 × 55 × 108 ) / 1

LCM(17,55,108) = 100980 / 1

LCM(17,55,108) = 100980


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 418/17, 374/55, 800/108

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 418/17, 374/55, 800/108?

Answer: GCF of Numerators as per given numbers 418/17, 374/55, 800/108 is

GCF of Numerators i.e. for 418,374,800 is 2

LCM of denominators i.e. for 17,55,108 is 100980.

Thus, GCF of Fractions is 2/100980.Finally, GCF of Fractions for 418/17, 374/55, 800/108 is 2/100980.