Greatest Common Factor of 745/12, 6154/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 745/12, 6154/595

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 745/12,6154/595

Given fractions are 745/12,6154/595

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 745,6154

Greatest Common Factor of Numerators i.e. GCF of 745,6154 is 1 .

LCM of Denominators means LCM of 12,595 as per the given fractions.

LCM of 12,595 is 7140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 745,6154

GCF of Fractions 745/12,6154/595 is 1/7140

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

Greatest Common Factor of 745,6154 By Matching Biggest Common Factor Method

Greatest Common Factor of 745,6154 By Matching Biggest Common Factor Method

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 6154

List of positive integer factors of 6154 that divides 6154 without a remainder.

1,2,17,34,181,362,3077,6154

Greatest Common Factor

We found the factors 745,6154 . The biggest common factor number is the GCF number.
So the greatest common factor 745,6154 is 1.

Lets's calculate LCM of 12,595

Given numbers has no common factors except 1. So, there LCM is their product i.e 7140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7140

Therefore, the GCF of Fractions 745/12,6154/595 is 1/7140

Least Common Multiple of 12,595 with GCF Formula

Least Common Multiple of 12,595 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 12,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,595) = 1

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

GCF(12,595) x common factors =1 x 1 = 1

LCM(12,595) = ( 12 × 595 ) / 1

LCM(12,595) = 7140 / 1

LCM(12,595) = 7140


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 745/12, 6154/595

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 745/12, 6154/595?

Answer: GCF of Numerators as per given numbers 745/12, 6154/595 is

GCF of Numerators i.e. for 745,6154 is 1

LCM of denominators i.e. for 12,595 is 7140.

Thus, GCF of Fractions is 1/7140.Finally, GCF of Fractions for 745/12, 6154/595 is 1/7140.