How to Find GCF of 2180/897, 7477/3913?

GCF of 2180/897, 7477/3913

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 2180/897, 7477/3913 i.e 1/269997 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2180/897, 7477/3913.

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 2180/897,7477/3913?

Given fractions are 2180/897,7477/3913

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 2180/897,7477/3913, numerators are 2180,7477

Denominators are 897,3913

The GCF of 2180,7477 is 1 .

LCM of 897,3913 is 269997.

The greatest common factor of 2180/897,7477/3913 = [GCF of 2180,7477]/[LCM of 897,3913]= 1/269997

Therefore, the GCF of 2180/897,7477/3913 is 1/269997.

Greatest Common Factor of 2180,7477

To find the highest common factor of 2180,7477, we have to find the factors of both numbers and list the highest common factor.

The factors of 2180 are 1, 2, 4, 5, 10, 20, 109, 218, 436, 545, 1090, 2180

The factors of 7477 are 1, 7477

The HCF of 2180,7477 is 1.

Lets's calculate GCF of 2180,7477

Greatest Common Factor (GCF) of 2180,7477 By Common Division

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

Greatest Common Factor of 2180,7477 By Matching Biggest Common Factor Method

Now, list down the factors of 2180

1,2,4,5,10,20,109,218,436,545,1090,2180

Now, list down the factors of 7477

1,7477

Greatest Common Factor

We found the factors 2180,7477 . The biggest common factor number is the GCF number.
So the greatest common factor 2180,7477 is 1.

Lets's calculate LCM of 897,3913

Lowest Common Multiple of 897,3913 using Common Division

13	897, 3913
	69, 301

∴ So the LCM of the given numbers is 13 x 69 x 301 = 269997

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/269997

Therefore, the GCF of Fractions 2180/897,7477/3913 is 1/269997

Least Common Multiple of 897,3913 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 897,3913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,3913) = 13

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

GCF(897,3913) x common factors =13 x 1 = 13

LCM(897,3913) = ( 897 × 3913 ) / 13

LCM(897,3913) = 3509961 / 13

LCM(897,3913) = 269997

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2180/897, 7477/3913

1. What is the HCF of 2180,7477?

The HCF of 2180,7477 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 2180/897, 7477/3913?

Answer: GCF of Numerators as per given numbers 2180/897, 7477/3913 is

GCF of Numerators i.e. for 2180,7477 is 1

LCM of denominators i.e. for 897,3913 is 269997.

Thus, GCF of Fractions is 1/269997.Finally, GCF of Fractions for 2180/897, 7477/3913 is 1/269997.