How to Find GCF of 897/456, 9394/9728?

GCF of 897/456, 9394/9728

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 897/456, 9394/9728 i.e 1/29184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 897/456, 9394/9728.

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 897/456,9394/9728?

Given fractions are 897/456,9394/9728

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 897/456,9394/9728, numerators are 897,9394

Denominators are 456,9728

The GCF of 897,9394 is 1 .

LCM of 456,9728 is 29184.

The greatest common factor of 897/456,9394/9728 = [GCF of 897,9394]/[LCM of 456,9728]= 1/29184

Therefore, the GCF of 897/456,9394/9728 is 1/29184.

Greatest Common Factor of 897,9394

To find the highest common factor of 897,9394, we have to find the factors of both numbers and list the highest common factor.

The factors of 897 are 1, 3, 13, 23, 39, 69, 299, 897

The factors of 9394 are 1, 2, 7, 11, 14, 22, 61, 77, 122, 154, 427, 671, 854, 1342, 4697, 9394

The HCF of 897,9394 is 1.

Lets's calculate GCF of 897,9394

Greatest Common Factor (GCF) of 897,9394 By Common Division

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

Greatest Common Factor of 897,9394 By Matching Biggest Common Factor Method

Now, list down the factors of 897

1,3,13,23,39,69,299,897

Now, list down the factors of 9394

1,2,7,11,14,22,61,77,122,154,427,671,854,1342,4697,9394

Greatest Common Factor

We found the factors 897,9394 . The biggest common factor number is the GCF number.
So the greatest common factor 897,9394 is 1.

Lets's calculate LCM of 456,9728

Lowest Common Multiple of 456,9728 using Common Division

2	456, 9728
2	228, 4864
2	114, 2432
19	57, 1216
	3, 64

∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 3 x 64 = 29184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29184

Therefore, the GCF of Fractions 897/456,9394/9728 is 1/29184

Least Common Multiple of 456,9728 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 456,9728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,9728) = 152

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

GCF(456,9728) x common factors =152 x 1 = 152

LCM(456,9728) = ( 456 × 9728 ) / 152

LCM(456,9728) = 4435968 / 152

LCM(456,9728) = 29184

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 897/456, 9394/9728

1. What is the HCF of 897,9394?

The HCF of 897,9394 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 897/456, 9394/9728?

Answer: GCF of Numerators as per given numbers 897/456, 9394/9728 is

GCF of Numerators i.e. for 897,9394 is 1

LCM of denominators i.e. for 456,9728 is 29184.

Thus, GCF of Fractions is 1/29184.Finally, GCF of Fractions for 897/456, 9394/9728 is 1/29184.