How to Find GCF of 4642/897, 2926/579?

GCF of 4642/897, 2926/579

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 4642/897, 2926/579 i.e 22/173121 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4642/897, 2926/579.

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 4642/897,2926/579?

Given fractions are 4642/897,2926/579

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 4642/897,2926/579, numerators are 4642,2926

Denominators are 897,579

The GCF of 4642,2926 is 22 .

LCM of 897,579 is 173121.

The greatest common factor of 4642/897,2926/579 = [GCF of 4642,2926]/[LCM of 897,579]= 22/173121

Therefore, the GCF of 4642/897,2926/579 is 22/173121.

Greatest Common Factor of 4642,2926

To find the highest common factor of 4642,2926, we have to find the factors of both numbers and list the highest common factor.

The factors of 4642 are 1, 2, 11, 22, 211, 422, 2321, 4642

The factors of 2926 are 1, 2, 7, 11, 14, 19, 22, 38, 77, 133, 154, 209, 266, 418, 1463, 2926

The HCF of 4642,2926 is 22.

Lets's calculate GCF of 4642,2926

Greatest Common Factor (GCF) of 4642,2926 By Common Division

2	4642, 2926
11	2321, 1463
	211, 133

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 4642,2926 By Matching Biggest Common Factor Method

Now, list down the factors of 4642

1,2,11,22,211,422,2321,4642

Now, list down the factors of 2926

1,2,7,11,14,19,22,38,77,133,154,209,266,418,1463,2926

Greatest Common Factor

We found the factors 4642,2926 . The biggest common factor number is the GCF number.
So the greatest common factor 4642,2926 is 22.

Lets's calculate LCM of 897,579

Lowest Common Multiple of 897,579 using Common Division

3	897, 579
	299, 193

∴ So the LCM of the given numbers is 3 x 299 x 193 = 173121

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/173121

Therefore, the GCF of Fractions 4642/897,2926/579 is 22/173121

Least Common Multiple of 897,579 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 897,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,579) = 3

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

GCF(897,579) x common factors =3 x 1 = 3

LCM(897,579) = ( 897 × 579 ) / 3

LCM(897,579) = 519363 / 3

LCM(897,579) = 173121

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4642/897, 2926/579

1. What is the HCF of 4642,2926?

The HCF of 4642,2926 is 22

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 4642/897, 2926/579?

Answer: GCF of Numerators as per given numbers 4642/897, 2926/579 is

GCF of Numerators i.e. for 4642,2926 is 22

LCM of denominators i.e. for 897,579 is 173121.

Thus, GCF of Fractions is 22/173121.Finally, GCF of Fractions for 4642/897, 2926/579 is 22/173121.