Greatest Common Factor of 617/394, 668/554, 556/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 617/394, 668/554, 556/602

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 617/394,668/554,556/602

Given fractions are 617/394,668/554,556/602

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 617,668,556

Greatest Common Factor of Numerators i.e. GCF of 617,668,556 is 1 .

LCM of Denominators means LCM of 394,554,602 as per the given fractions.

LCM of 394,554,602 is 32850538 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 617,668,556

GCF of Fractions 617/394,668/554,556/602 is 1/32850538

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

Greatest Common Factor of 617,668,556 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,668,556 By Matching Biggest Common Factor Method

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 668

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

1,2,4,167,334,668

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Greatest Common Factor

We found the factors 617,668,556 . The biggest common factor number is the GCF number.
So the greatest common factor 617,668,556 is 1.

Lets's calculate LCM of 394,554,602

2 394, 554, 602
197, 277, 301

∴ So the LCM of the given numbers is 2 x 197 x 277 x 301 = 32850538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32850538

Therefore, the GCF of Fractions 617/394,668/554,556/602 is 1/32850538

Least Common Multiple of 394,554,602 with GCF Formula

Least Common Multiple of 394,554,602 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 394,554,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(394,554,602) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(394,554,602) x common factors =2 x 2 = 4

LCM(394,554,602) = ( 394 × 554 × 602 ) / 4

LCM(394,554,602) = 131402152 / 4

LCM(394,554,602) = 32850538


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 617/394, 668/554, 556/602

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 617/394, 668/554, 556/602?

Answer: GCF of Numerators as per given numbers 617/394, 668/554, 556/602 is

GCF of Numerators i.e. for 617,668,556 is 1

LCM of denominators i.e. for 394,554,602 is 32850538.

Thus, GCF of Fractions is 1/32850538.Finally, GCF of Fractions for 617/394, 668/554, 556/602 is 1/32850538.