Greatest Common Factor of 917/47, 271/50, 668/87

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 917/47, 271/50, 668/87

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 917/47,271/50,668/87

Given fractions are 917/47,271/50,668/87

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 917,271,668

Greatest Common Factor of Numerators i.e. GCF of 917,271,668 is 1 .

LCM of Denominators means LCM of 47,50,87 as per the given fractions.

LCM of 47,50,87 is 204450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 917,271,668

GCF of Fractions 917/47,271/50,668/87 is 1/204450

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

Greatest Common Factor of 917,271,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 917,271,668 By Matching Biggest Common Factor Method

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Greatest Common Factor

We found the factors 917,271,668 . The biggest common factor number is the GCF number.
So the greatest common factor 917,271,668 is 1.

Lets's calculate LCM of 47,50,87

Given numbers has no common factors except 1. So, there LCM is their product i.e 204450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204450

Therefore, the GCF of Fractions 917/47,271/50,668/87 is 1/204450

Least Common Multiple of 47,50,87 with GCF Formula

Least Common Multiple of 47,50,87 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 47,50,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,50,87) = 1

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

GCF(47,50,87) x common factors =1 x 1 = 1

LCM(47,50,87) = ( 47 × 50 × 87 ) / 1

LCM(47,50,87) = 204450 / 1

LCM(47,50,87) = 204450


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 917/47, 271/50, 668/87

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 917/47, 271/50, 668/87?

Answer: GCF of Numerators as per given numbers 917/47, 271/50, 668/87 is

GCF of Numerators i.e. for 917,271,668 is 1

LCM of denominators i.e. for 47,50,87 is 204450.

Thus, GCF of Fractions is 1/204450.Finally, GCF of Fractions for 917/47, 271/50, 668/87 is 1/204450.