Greatest Common Factor of 673/57, 546/30, 608/635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 673/57, 546/30, 608/635

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 673/57,546/30,608/635

Given fractions are 673/57,546/30,608/635

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 673,546,608

Greatest Common Factor of Numerators i.e. GCF of 673,546,608 is 1 .

LCM of Denominators means LCM of 57,30,635 as per the given fractions.

LCM of 57,30,635 is 72390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 673,546,608

GCF of Fractions 673/57,546/30,608/635 is 1/72390

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

Greatest Common Factor of 673,546,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 673,546,608 By Matching Biggest Common Factor Method

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 673,546,608 . The biggest common factor number is the GCF number.
So the greatest common factor 673,546,608 is 1.

Lets's calculate LCM of 57,30,635

3 57, 30, 635
5 19, 10, 635
19, 2, 127

∴ So the LCM of the given numbers is 3 x 5 x 19 x 2 x 127 = 72390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72390

Therefore, the GCF of Fractions 673/57,546/30,608/635 is 1/72390

Least Common Multiple of 57,30,635 with GCF Formula

Least Common Multiple of 57,30,635 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 57,30,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,30,635) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(57,30,635) x common factors =1 x 15 = 15

LCM(57,30,635) = ( 57 × 30 × 635 ) / 15

LCM(57,30,635) = 1085850 / 15

LCM(57,30,635) = 72390


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 673/57, 546/30, 608/635

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 673/57, 546/30, 608/635?

Answer: GCF of Numerators as per given numbers 673/57, 546/30, 608/635 is

GCF of Numerators i.e. for 673,546,608 is 1

LCM of denominators i.e. for 57,30,635 is 72390.

Thus, GCF of Fractions is 1/72390.Finally, GCF of Fractions for 673/57, 546/30, 608/635 is 1/72390.