How to Find GCF of 4633/270, 5476/4406?

GCF of 4633/270, 5476/4406

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 4633/270, 5476/4406 i.e 1/594810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4633/270, 5476/4406.

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 4633/270,5476/4406?

Given fractions are 4633/270,5476/4406

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 4633/270,5476/4406, numerators are 4633,5476

Denominators are 270,4406

The GCF of 4633,5476 is 1 .

LCM of 270,4406 is 594810.

The greatest common factor of 4633/270,5476/4406 = [GCF of 4633,5476]/[LCM of 270,4406]= 1/594810

Therefore, the GCF of 4633/270,5476/4406 is 1/594810.

Greatest Common Factor of 4633,5476

To find the highest common factor of 4633,5476, we have to find the factors of both numbers and list the highest common factor.

The factors of 4633 are 1, 41, 113, 4633

The factors of 5476 are 1, 2, 4, 37, 74, 148, 1369, 2738, 5476

The HCF of 4633,5476 is 1.

Lets's calculate GCF of 4633,5476

Greatest Common Factor (GCF) of 4633,5476 By Common Division

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

Greatest Common Factor of 4633,5476 By Matching Biggest Common Factor Method

Now, list down the factors of 4633

1,41,113,4633

Now, list down the factors of 5476

1,2,4,37,74,148,1369,2738,5476

Greatest Common Factor

We found the factors 4633,5476 . The biggest common factor number is the GCF number.
So the greatest common factor 4633,5476 is 1.

Lets's calculate LCM of 270,4406

Lowest Common Multiple of 270,4406 using Common Division

2	270, 4406
	135, 2203

∴ So the LCM of the given numbers is 2 x 135 x 2203 = 594810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/594810

Therefore, the GCF of Fractions 4633/270,5476/4406 is 1/594810

Least Common Multiple of 270,4406 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 270,4406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,4406) = 2

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

GCF(270,4406) x common factors =2 x 1 = 2

LCM(270,4406) = ( 270 × 4406 ) / 2

LCM(270,4406) = 1189620 / 2

LCM(270,4406) = 594810

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FAQs on GCF of Fractions of 4633/270, 5476/4406

1. What is the HCF of 4633,5476?

The HCF of 4633,5476 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 4633/270, 5476/4406?

Answer: GCF of Numerators as per given numbers 4633/270, 5476/4406 is

GCF of Numerators i.e. for 4633,5476 is 1

LCM of denominators i.e. for 270,4406 is 594810.

Thus, GCF of Fractions is 1/594810.Finally, GCF of Fractions for 4633/270, 5476/4406 is 1/594810.