Greatest Common Factor of 6065/84, 7204/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6065/84, 7204/154

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 6065/84,7204/154

Given fractions are 6065/84,7204/154

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 6065,7204

Greatest Common Factor of Numerators i.e. GCF of 6065,7204 is 1 .

LCM of Denominators means LCM of 84,154 as per the given fractions.

LCM of 84,154 is 924 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6065,7204

GCF of Fractions 6065/84,7204/154 is 1/924

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

Greatest Common Factor of 6065,7204 By Matching Biggest Common Factor Method

Greatest Common Factor of 6065,7204 By Matching Biggest Common Factor Method

Factors of 6065

List of positive integer factors of 6065 that divides 6065 without a remainder.

1,5,1213,6065

Factors of 7204

List of positive integer factors of 7204 that divides 7204 without a remainder.

1,2,4,1801,3602,7204

Greatest Common Factor

We found the factors 6065,7204 . The biggest common factor number is the GCF number.
So the greatest common factor 6065,7204 is 1.

Lets's calculate LCM of 84,154

2 84, 154
7 42, 77
6, 11

∴ So the LCM of the given numbers is 2 x 7 x 6 x 11 = 924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/924

Therefore, the GCF of Fractions 6065/84,7204/154 is 1/924

Least Common Multiple of 84,154 with GCF Formula

Least Common Multiple of 84,154 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 84,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,154) = 14

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

GCF(84,154) x common factors =14 x 1 = 14

LCM(84,154) = ( 84 × 154 ) / 14

LCM(84,154) = 12936 / 14

LCM(84,154) = 924


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 6065/84, 7204/154

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 6065/84, 7204/154?

Answer: GCF of Numerators as per given numbers 6065/84, 7204/154 is

GCF of Numerators i.e. for 6065,7204 is 1

LCM of denominators i.e. for 84,154 is 924.

Thus, GCF of Fractions is 1/924.Finally, GCF of Fractions for 6065/84, 7204/154 is 1/924.