Greatest Common Factor of 7445/72, 3514/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7445/72, 3514/266

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 7445/72,3514/266

Given fractions are 7445/72,3514/266

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 7445,3514

Greatest Common Factor of Numerators i.e. GCF of 7445,3514 is 1 .

LCM of Denominators means LCM of 72,266 as per the given fractions.

LCM of 72,266 is 9576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7445,3514

GCF of Fractions 7445/72,3514/266 is 1/9576

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

Greatest Common Factor of 7445,3514 By Matching Biggest Common Factor Method

Greatest Common Factor of 7445,3514 By Matching Biggest Common Factor Method

Factors of 7445

List of positive integer factors of 7445 that divides 7445 without a remainder.

1,5,1489,7445

Factors of 3514

List of positive integer factors of 3514 that divides 3514 without a remainder.

1,2,7,14,251,502,1757,3514

Greatest Common Factor

We found the factors 7445,3514 . The biggest common factor number is the GCF number.
So the greatest common factor 7445,3514 is 1.

Lets's calculate LCM of 72,266

2 72, 266
36, 133

∴ So the LCM of the given numbers is 2 x 36 x 133 = 9576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9576

Therefore, the GCF of Fractions 7445/72,3514/266 is 1/9576

Least Common Multiple of 72,266 with GCF Formula

Least Common Multiple of 72,266 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 72,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,266) = 2

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

GCF(72,266) x common factors =2 x 1 = 2

LCM(72,266) = ( 72 × 266 ) / 2

LCM(72,266) = 19152 / 2

LCM(72,266) = 9576


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 7445/72, 3514/266

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 7445/72, 3514/266?

Answer: GCF of Numerators as per given numbers 7445/72, 3514/266 is

GCF of Numerators i.e. for 7445,3514 is 1

LCM of denominators i.e. for 72,266 is 9576.

Thus, GCF of Fractions is 1/9576.Finally, GCF of Fractions for 7445/72, 3514/266 is 1/9576.