Greatest Common Factor of 602/305, 126/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 602/305, 126/569

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 602/305,126/569

Given fractions are 602/305,126/569

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 602,126

Greatest Common Factor of Numerators i.e. GCF of 602,126 is 14 .

LCM of Denominators means LCM of 305,569 as per the given fractions.

LCM of 305,569 is 173545 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 602,126

GCF of Fractions 602/305,126/569 is 14/173545

2 602, 126
7 301, 63
43, 9

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 602,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,126 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 602,126 . The biggest common factor number is the GCF number.
So the greatest common factor 602,126 is 14.

Lets's calculate LCM of 305,569

Given numbers has no common factors except 1. So, there LCM is their product i.e 173545

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/173545

Therefore, the GCF of Fractions 602/305,126/569 is 14/173545

Least Common Multiple of 305,569 with GCF Formula

Least Common Multiple of 305,569 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 305,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,569) = 1

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

GCF(305,569) x common factors =1 x 1 = 1

LCM(305,569) = ( 305 × 569 ) / 1

LCM(305,569) = 173545 / 1

LCM(305,569) = 173545


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 602/305, 126/569

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 602/305, 126/569?

Answer: GCF of Numerators as per given numbers 602/305, 126/569 is

GCF of Numerators i.e. for 602,126 is 14

LCM of denominators i.e. for 305,569 is 173545.

Thus, GCF of Fractions is 14/173545.Finally, GCF of Fractions for 602/305, 126/569 is 14/173545.