Greatest Common Factor of 7226/68, 2445/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7226/68, 2445/164

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 7226/68,2445/164

Given fractions are 7226/68,2445/164

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 7226,2445

Greatest Common Factor of Numerators i.e. GCF of 7226,2445 is 1 .

LCM of Denominators means LCM of 68,164 as per the given fractions.

LCM of 68,164 is 2788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7226,2445

GCF of Fractions 7226/68,2445/164 is 1/2788

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

Greatest Common Factor of 7226,2445 By Matching Biggest Common Factor Method

Greatest Common Factor of 7226,2445 By Matching Biggest Common Factor Method

Factors of 7226

List of positive integer factors of 7226 that divides 7226 without a remainder.

1,2,3613,7226

Factors of 2445

List of positive integer factors of 2445 that divides 2445 without a remainder.

1,3,5,15,163,489,815,2445

Greatest Common Factor

We found the factors 7226,2445 . The biggest common factor number is the GCF number.
So the greatest common factor 7226,2445 is 1.

Lets's calculate LCM of 68,164

2 68, 164
2 34, 82
17, 41

∴ So the LCM of the given numbers is 2 x 2 x 17 x 41 = 2788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2788

Therefore, the GCF of Fractions 7226/68,2445/164 is 1/2788

Least Common Multiple of 68,164 with GCF Formula

Least Common Multiple of 68,164 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 68,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,164) = 4

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

GCF(68,164) x common factors =4 x 1 = 4

LCM(68,164) = ( 68 × 164 ) / 4

LCM(68,164) = 11152 / 4

LCM(68,164) = 2788


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 7226/68, 2445/164

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 7226/68, 2445/164?

Answer: GCF of Numerators as per given numbers 7226/68, 2445/164 is

GCF of Numerators i.e. for 7226,2445 is 1

LCM of denominators i.e. for 68,164 is 2788.

Thus, GCF of Fractions is 1/2788.Finally, GCF of Fractions for 7226/68, 2445/164 is 1/2788.