How to Find GCF of 3021/546, 1721/5473?

GCF of 3021/546, 1721/5473

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 3021/546, 1721/5473 i.e 1/229866 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3021/546, 1721/5473.

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 3021/546,1721/5473?

Given fractions are 3021/546,1721/5473

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 3021/546,1721/5473, numerators are 3021,1721

Denominators are 546,5473

The GCF of 3021,1721 is 1 .

LCM of 546,5473 is 229866.

The greatest common factor of 3021/546,1721/5473 = [GCF of 3021,1721]/[LCM of 546,5473]= 1/229866

Therefore, the GCF of 3021/546,1721/5473 is 1/229866.

Greatest Common Factor of 3021,1721

To find the highest common factor of 3021,1721, we have to find the factors of both numbers and list the highest common factor.

The factors of 3021 are 1, 3, 19, 53, 57, 159, 1007, 3021

The factors of 1721 are 1, 1721

The HCF of 3021,1721 is 1.

Lets's calculate GCF of 3021,1721

Greatest Common Factor (GCF) of 3021,1721 By Common Division

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

Greatest Common Factor of 3021,1721 By Matching Biggest Common Factor Method

Now, list down the factors of 3021

1,3,19,53,57,159,1007,3021

Now, list down the factors of 1721

1,1721

Greatest Common Factor

We found the factors 3021,1721 . The biggest common factor number is the GCF number.
So the greatest common factor 3021,1721 is 1.

Lets's calculate LCM of 546,5473

Lowest Common Multiple of 546,5473 using Common Division

13	546, 5473
	42, 421

∴ So the LCM of the given numbers is 13 x 42 x 421 = 229866

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/229866

Therefore, the GCF of Fractions 3021/546,1721/5473 is 1/229866

Least Common Multiple of 546,5473 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 546,5473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,5473) = 13

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

GCF(546,5473) x common factors =13 x 1 = 13

LCM(546,5473) = ( 546 × 5473 ) / 13

LCM(546,5473) = 2988258 / 13

LCM(546,5473) = 229866

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3021/546, 1721/5473

1. What is the HCF of 3021,1721?

The HCF of 3021,1721 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 3021/546, 1721/5473?

Answer: GCF of Numerators as per given numbers 3021/546, 1721/5473 is

GCF of Numerators i.e. for 3021,1721 is 1

LCM of denominators i.e. for 546,5473 is 229866.

Thus, GCF of Fractions is 1/229866.Finally, GCF of Fractions for 3021/546, 1721/5473 is 1/229866.