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GCF of 897/330, 277/225

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 897/330, 277/225 i.e 1/4950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 897/330, 277/225.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 897/330,277/225?

Given fractions are 897/330,277/225

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 897/330,277/225, numerators are 897,277

Denominators are 330,225

The GCF of 897,277 is 1 .

LCM of 330,225 is 4950.

The greatest common factor of 897/330,277/225 = [GCF of 897,277]/[LCM of 330,225]= 1/4950

Therefore, the GCF of 897/330,277/225 is 1/4950.

Greatest Common Factor of 897,277

To find the highest common factor of 897,277, 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 277 are 1, 277

The HCF of 897,277 is 1.

Lets's calculate GCF of 897,277

Greatest Common Factor (GCF) of 897,277 By Common Division

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

Greatest Common Factor of 897,277 By Matching Biggest Common Factor Method

Greatest Common Factor of 897,277 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 277

:

1,277

Greatest Common Factor

We found the factors 897,277 . The biggest common factor number is the GCF number.
So the greatest common factor 897,277 is 1.

Lets's calculate LCM of 330,225

Lowest Common Multiple of 330,225 using Common Division

3 330, 225
5 110, 75
22, 15

∴ So the LCM of the given numbers is 3 x 5 x 22 x 15 = 4950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4950

Therefore, the GCF of Fractions 897/330,277/225 is 1/4950

Least Common Multiple of 330,225 with GCF Formula

Least Common Multiple of 330,225 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 330,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,225) = 15

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

GCF(330,225) x common factors =15 x 1 = 15

LCM(330,225) = ( 330 × 225 ) / 15

LCM(330,225) = 74250 / 15

LCM(330,225) = 4950


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FAQs on GCF of Fractions of 897/330, 277/225

1. What is the HCF of 897,277?

The HCF of 897,277 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 897/330, 277/225?

Answer: GCF of Numerators as per given numbers 897/330, 277/225 is

GCF of Numerators i.e. for 897,277 is 1

LCM of denominators i.e. for 330,225 is 4950.

Thus, GCF of Fractions is 1/4950.Finally, GCF of Fractions for 897/330, 277/225 is 1/4950.