Greatest Common Factor of 82/106, 67/945, 768/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 82/106, 67/945, 768/597

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 82/106,67/945,768/597

Given fractions are 82/106,67/945,768/597

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 82,67,768

Greatest Common Factor of Numerators i.e. GCF of 82,67,768 is 1 .

LCM of Denominators means LCM of 106,945,597 as per the given fractions.

LCM of 106,945,597 is 19933830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 82,67,768

GCF of Fractions 82/106,67/945,768/597 is 1/19933830

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

Greatest Common Factor of 82,67,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,67,768 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 82,67,768 . The biggest common factor number is the GCF number.
So the greatest common factor 82,67,768 is 1.

Lets's calculate LCM of 106,945,597

3 106, 945, 597
106, 315, 199

∴ So the LCM of the given numbers is 3 x 106 x 315 x 199 = 19933830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19933830

Therefore, the GCF of Fractions 82/106,67/945,768/597 is 1/19933830

Least Common Multiple of 106,945,597 with GCF Formula

Least Common Multiple of 106,945,597 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 106,945,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,945,597) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(106,945,597) x common factors =1 x 3 = 3

LCM(106,945,597) = ( 106 × 945 × 597 ) / 3

LCM(106,945,597) = 59801490 / 3

LCM(106,945,597) = 19933830


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 82/106, 67/945, 768/597

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 82/106, 67/945, 768/597?

Answer: GCF of Numerators as per given numbers 82/106, 67/945, 768/597 is

GCF of Numerators i.e. for 82,67,768 is 1

LCM of denominators i.e. for 106,945,597 is 19933830.

Thus, GCF of Fractions is 1/19933830.Finally, GCF of Fractions for 82/106, 67/945, 768/597 is 1/19933830.