How to Find GCF of 4658/423, 2596/3632?

GCF of 4658/423, 2596/3632

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 4658/423, 2596/3632 i.e 2/1536336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4658/423, 2596/3632.

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 4658/423,2596/3632?

Given fractions are 4658/423,2596/3632

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 4658/423,2596/3632, numerators are 4658,2596

Denominators are 423,3632

The GCF of 4658,2596 is 2 .

LCM of 423,3632 is 1536336.

The greatest common factor of 4658/423,2596/3632 = [GCF of 4658,2596]/[LCM of 423,3632]= 2/1536336

Therefore, the GCF of 4658/423,2596/3632 is 2/1536336.

Greatest Common Factor of 4658,2596

To find the highest common factor of 4658,2596, we have to find the factors of both numbers and list the highest common factor.

The factors of 4658 are 1, 2, 17, 34, 137, 274, 2329, 4658

The factors of 2596 are 1, 2, 4, 11, 22, 44, 59, 118, 236, 649, 1298, 2596

The HCF of 4658,2596 is 2.

Lets's calculate GCF of 4658,2596

Greatest Common Factor (GCF) of 4658,2596 By Common Division

2	4658, 2596
	2329, 1298

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4658,2596 By Matching Biggest Common Factor Method

Now, list down the factors of 4658

1,2,17,34,137,274,2329,4658

Now, list down the factors of 2596

1,2,4,11,22,44,59,118,236,649,1298,2596

Greatest Common Factor

We found the factors 4658,2596 . The biggest common factor number is the GCF number.
So the greatest common factor 4658,2596 is 2.

Lets's calculate LCM of 423,3632

Lowest Common Multiple of 423,3632 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1536336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1536336

Therefore, the GCF of Fractions 4658/423,2596/3632 is 2/1536336

Least Common Multiple of 423,3632 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 423,3632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,3632) = 1

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

GCF(423,3632) x common factors =1 x 1 = 1

LCM(423,3632) = ( 423 × 3632 ) / 1

LCM(423,3632) = 1536336 / 1

LCM(423,3632) = 1536336

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4658/423, 2596/3632

1. What is the HCF of 4658,2596?

The HCF of 4658,2596 is 2

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 4658/423, 2596/3632?

Answer: GCF of Numerators as per given numbers 4658/423, 2596/3632 is

GCF of Numerators i.e. for 4658,2596 is 2

LCM of denominators i.e. for 423,3632 is 1536336.

Thus, GCF of Fractions is 2/1536336.Finally, GCF of Fractions for 4658/423, 2596/3632 is 2/1536336.