How to Find GCF of 4863/143, 5322/7618?

GCF of 4863/143, 5322/7618

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 4863/143, 5322/7618 i.e 3/83798 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4863/143, 5322/7618.

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 4863/143,5322/7618?

Given fractions are 4863/143,5322/7618

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 4863/143,5322/7618, numerators are 4863,5322

Denominators are 143,7618

The GCF of 4863,5322 is 3 .

LCM of 143,7618 is 83798.

The greatest common factor of 4863/143,5322/7618 = [GCF of 4863,5322]/[LCM of 143,7618]= 3/83798

Therefore, the GCF of 4863/143,5322/7618 is 3/83798.

Greatest Common Factor of 4863,5322

To find the highest common factor of 4863,5322, we have to find the factors of both numbers and list the highest common factor.

The factors of 4863 are 1, 3, 1621, 4863

The factors of 5322 are 1, 2, 3, 6, 887, 1774, 2661, 5322

The HCF of 4863,5322 is 3.

Lets's calculate GCF of 4863,5322

Greatest Common Factor (GCF) of 4863,5322 By Common Division

3	4863, 5322
	1621, 1774

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4863,5322 By Matching Biggest Common Factor Method

Now, list down the factors of 4863

1,3,1621,4863

Now, list down the factors of 5322

1,2,3,6,887,1774,2661,5322

Greatest Common Factor

We found the factors 4863,5322 . The biggest common factor number is the GCF number.
So the greatest common factor 4863,5322 is 3.

Lets's calculate LCM of 143,7618

Lowest Common Multiple of 143,7618 using Common Division

13	143, 7618
	11, 586

∴ So the LCM of the given numbers is 13 x 11 x 586 = 83798

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/83798

Therefore, the GCF of Fractions 4863/143,5322/7618 is 3/83798

Least Common Multiple of 143,7618 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 143,7618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,7618) = 13

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

GCF(143,7618) x common factors =13 x 1 = 13

LCM(143,7618) = ( 143 × 7618 ) / 13

LCM(143,7618) = 1089374 / 13

LCM(143,7618) = 83798

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4863/143, 5322/7618

1. What is the HCF of 4863,5322?

The HCF of 4863,5322 is 3

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 4863/143, 5322/7618?

Answer: GCF of Numerators as per given numbers 4863/143, 5322/7618 is

GCF of Numerators i.e. for 4863,5322 is 3

LCM of denominators i.e. for 143,7618 is 83798.

Thus, GCF of Fractions is 3/83798.Finally, GCF of Fractions for 4863/143, 5322/7618 is 3/83798.