How to Find GCF of 897/832, 4979/189?

GCF of 897/832, 4979/189

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 897/832, 4979/189 i.e 13/157248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 897/832, 4979/189.

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 897/832,4979/189?

Given fractions are 897/832,4979/189

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 897/832,4979/189, numerators are 897,4979

Denominators are 832,189

The GCF of 897,4979 is 13 .

LCM of 832,189 is 157248.

The greatest common factor of 897/832,4979/189 = [GCF of 897,4979]/[LCM of 832,189]= 13/157248

Therefore, the GCF of 897/832,4979/189 is 13/157248.

Greatest Common Factor of 897,4979

To find the highest common factor of 897,4979, 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 4979 are 1, 13, 383, 4979

The HCF of 897,4979 is 13.

Lets's calculate GCF of 897,4979

Greatest Common Factor (GCF) of 897,4979 By Common Division

13	897, 4979
	69, 383

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

Greatest Common Factor of 897,4979 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 4979

1,13,383,4979

Greatest Common Factor

We found the factors 897,4979 . The biggest common factor number is the GCF number.
So the greatest common factor 897,4979 is 13.

Lets's calculate LCM of 832,189

Lowest Common Multiple of 832,189 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 157248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/157248

Therefore, the GCF of Fractions 897/832,4979/189 is 13/157248

Least Common Multiple of 832,189 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 832,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(832,189) = 1

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

GCF(832,189) x common factors =1 x 1 = 1

LCM(832,189) = ( 832 × 189 ) / 1

LCM(832,189) = 157248 / 1

LCM(832,189) = 157248

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FAQs on GCF of Fractions of 897/832, 4979/189

1. What is the HCF of 897,4979?

The HCF of 897,4979 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 897/832, 4979/189?

Answer: GCF of Numerators as per given numbers 897/832, 4979/189 is

GCF of Numerators i.e. for 897,4979 is 13

LCM of denominators i.e. for 832,189 is 157248.

Thus, GCF of Fractions is 13/157248.Finally, GCF of Fractions for 897/832, 4979/189 is 13/157248.