How to Find GCF of 73/682, 93/206, 813/692?

GCF of 73/682, 93/206, 813/692

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 73/682, 93/206, 813/692 i.e 1/24305116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 73/682, 93/206, 813/692.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 73/682,93/206,813/692?

Given fractions are 73/682,93/206,813/692

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 73/682,93/206,813/692, numerators are 73,93,813

Denominators are 682,206,692

The GCF of 73,93,813 is 1 .

LCM of 682,206,692 is 24305116.

The greatest common factor of 73/682,93/206,813/692 = [GCF of 73,93,813]/[LCM of 682,206,692]= 1/24305116

Therefore, the GCF of 73/682,93/206,813/692 is 1/24305116.

Greatest Common Factor of 73,93,813

To find the highest common factor of 73,93,813, we have to find the factors of both numbers and list the highest common factor.

The factors of 73 are 1, 73

The factors of 93 are 1, 3, 31, 93

The factors of 813 are 1, 3, 271, 813

The HCF of 73,93,813 is 1.

Lets's calculate GCF of 73,93,813

Greatest Common Factor (GCF) of 73,93,813 By Common Division

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

Greatest Common Factor of 73,93,813 By Matching Biggest Common Factor Method

Now, list down the factors of 73

1,73

Now, list down the factors of 93

1,3,31,93

Now, list down the factors of 813

1,3,271,813

Greatest Common Factor

We found the factors 73,93,813 . The biggest common factor number is the GCF number.
So the greatest common factor 73,93,813 is 1.

Lets's calculate LCM of 682,206,692

Lowest Common Multiple of 682,206,692 using Common Division

2	682, 206, 692
	341, 103, 346

∴ So the LCM of the given numbers is 2 x 341 x 103 x 346 = 24305116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24305116

Therefore, the GCF of Fractions 73/682,93/206,813/692 is 1/24305116

Least Common Multiple of 682,206,692 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 682,206,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,206,692) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(682,206,692) x common factors =2 x 2 = 4

LCM(682,206,692) = ( 682 × 206 × 692 ) / 4

LCM(682,206,692) = 97220464 / 4

LCM(682,206,692) = 24305116

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 73/682, 93/206, 813/692

1. What is the HCF of 73,93,813?

The HCF of 73,93,813 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 73/682, 93/206, 813/692?

Answer: GCF of Numerators as per given numbers 73/682, 93/206, 813/692 is

GCF of Numerators i.e. for 73,93,813 is 1

LCM of denominators i.e. for 682,206,692 is 24305116.

Thus, GCF of Fractions is 1/24305116.Finally, GCF of Fractions for 73/682, 93/206, 813/692 is 1/24305116.