Greatest Common Factor of 606/85, 404/85, 149/35

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 606/85, 404/85, 149/35

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 606/85,404/85,149/35

Given fractions are 606/85,404/85,149/35

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 606,404,149

Greatest Common Factor of Numerators i.e. GCF of 606,404,149 is 1 .

LCM of Denominators means LCM of 85,85,35 as per the given fractions.

LCM of 85,85,35 is 595 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 606,404,149

GCF of Fractions 606/85,404/85,149/35 is 1/595

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

Greatest Common Factor of 606,404,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 606,404,149 By Matching Biggest Common Factor Method

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 606,404,149 . The biggest common factor number is the GCF number.
So the greatest common factor 606,404,149 is 1.

Lets's calculate LCM of 85,85,35

5 85, 85, 35
17 17, 17, 7
1, 1, 7

∴ So the LCM of the given numbers is 5 x 17 x 1 x 1 x 7 = 595

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/595

Therefore, the GCF of Fractions 606/85,404/85,149/35 is 1/595

Least Common Multiple of 85,85,35 with GCF Formula

Least Common Multiple of 85,85,35 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 85,85,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,85,35) = 5

common factors(in case of two or more numbers have common factors) = 85

GCF(85,85,35) x common factors =5 x 85 = 425

LCM(85,85,35) = ( 85 × 85 × 35 ) / 425

LCM(85,85,35) = 252875 / 425

LCM(85,85,35) = 595


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 606/85, 404/85, 149/35

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 606/85, 404/85, 149/35?

Answer: GCF of Numerators as per given numbers 606/85, 404/85, 149/35 is

GCF of Numerators i.e. for 606,404,149 is 1

LCM of denominators i.e. for 85,85,35 is 595.

Thus, GCF of Fractions is 1/595.Finally, GCF of Fractions for 606/85, 404/85, 149/35 is 1/595.