How to Find GCF of 97/65, 28/20, 455/650?

GCF of 97/65, 28/20, 455/650

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 97/65, 28/20, 455/650 i.e 1/1300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/65, 28/20, 455/650.

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 97/65,28/20,455/650?

Given fractions are 97/65,28/20,455/650

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 97/65,28/20,455/650, numerators are 97,28,455

Denominators are 65,20,650

The GCF of 97,28,455 is 1 .

LCM of 65,20,650 is 1300.

The greatest common factor of 97/65,28/20,455/650 = [GCF of 97,28,455]/[LCM of 65,20,650]= 1/1300

Therefore, the GCF of 97/65,28/20,455/650 is 1/1300.

Greatest Common Factor of 97,28,455

To find the highest common factor of 97,28,455, we have to find the factors of both numbers and list the highest common factor.

The factors of 97 are 1, 97

The factors of 28 are 1, 2, 4, 7, 14, 28

The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455

The HCF of 97,28,455 is 1.

Lets's calculate GCF of 97,28,455

Greatest Common Factor (GCF) of 97,28,455 By Common Division

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

Greatest Common Factor of 97,28,455 By Matching Biggest Common Factor Method

Now, list down the factors of 97

1,97

Now, list down the factors of 28

1,2,4,7,14,28

Now, list down the factors of 455

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 97,28,455 . The biggest common factor number is the GCF number.
So the greatest common factor 97,28,455 is 1.

Lets's calculate LCM of 65,20,650

Lowest Common Multiple of 65,20,650 using Common Division

2	65, 20, 650
5	65, 10, 325
13	13, 2, 65
	1, 2, 5

∴ So the LCM of the given numbers is 2 x 5 x 13 x 1 x 2 x 5 = 1300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1300

Therefore, the GCF of Fractions 97/65,28/20,455/650 is 1/1300

Least Common Multiple of 65,20,650 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 65,20,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,20,650) = 5

common factors(in case of two or more numbers have common factors) = 130

GCF(65,20,650) x common factors =5 x 130 = 650

LCM(65,20,650) = ( 65 × 20 × 650 ) / 650

LCM(65,20,650) = 845000 / 650

LCM(65,20,650) = 1300

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 97/65, 28/20, 455/650

1. What is the HCF of 97,28,455?

The HCF of 97,28,455 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 97/65, 28/20, 455/650?

Answer: GCF of Numerators as per given numbers 97/65, 28/20, 455/650 is

GCF of Numerators i.e. for 97,28,455 is 1

LCM of denominators i.e. for 65,20,650 is 1300.

Thus, GCF of Fractions is 1/1300.Finally, GCF of Fractions for 97/65, 28/20, 455/650 is 1/1300.