How to Find GCF of 897/300, 4030/172?

GCF of 897/300, 4030/172

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 897/300, 4030/172 i.e 13/12900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 897/300, 4030/172.

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 897/300,4030/172?

Given fractions are 897/300,4030/172

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 897/300,4030/172, numerators are 897,4030

Denominators are 300,172

The GCF of 897,4030 is 13 .

LCM of 300,172 is 12900.

The greatest common factor of 897/300,4030/172 = [GCF of 897,4030]/[LCM of 300,172]= 13/12900

Therefore, the GCF of 897/300,4030/172 is 13/12900.

Greatest Common Factor of 897,4030

To find the highest common factor of 897,4030, 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 4030 are 1, 2, 5, 10, 13, 26, 31, 62, 65, 130, 155, 310, 403, 806, 2015, 4030

The HCF of 897,4030 is 13.

Lets's calculate GCF of 897,4030

Greatest Common Factor (GCF) of 897,4030 By Common Division

13	897, 4030
	69, 310

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 897,4030 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 4030

1,2,5,10,13,26,31,62,65,130,155,310,403,806,2015,4030

Greatest Common Factor

We found the factors 897,4030 . The biggest common factor number is the GCF number.
So the greatest common factor 897,4030 is 13.

Lets's calculate LCM of 300,172

Lowest Common Multiple of 300,172 using Common Division

2	300, 172
2	150, 86
	75, 43

∴ So the LCM of the given numbers is 2 x 2 x 75 x 43 = 12900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/12900

Therefore, the GCF of Fractions 897/300,4030/172 is 13/12900

Least Common Multiple of 300,172 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 300,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,172) = 4

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

GCF(300,172) x common factors =4 x 1 = 4

LCM(300,172) = ( 300 × 172 ) / 4

LCM(300,172) = 51600 / 4

LCM(300,172) = 12900

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FAQs on GCF of Fractions of 897/300, 4030/172

1. What is the HCF of 897,4030?

The HCF of 897,4030 is 13

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 897/300, 4030/172?

Answer: GCF of Numerators as per given numbers 897/300, 4030/172 is

GCF of Numerators i.e. for 897,4030 is 13

LCM of denominators i.e. for 300,172 is 12900.

Thus, GCF of Fractions is 13/12900.Finally, GCF of Fractions for 897/300, 4030/172 is 13/12900.