How to Find GCF of 5618/732, 7442/9043?

GCF of 5618/732, 7442/9043

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 5618/732, 7442/9043 i.e 2/6619476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5618/732, 7442/9043.

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 5618/732,7442/9043?

Given fractions are 5618/732,7442/9043

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 5618/732,7442/9043, numerators are 5618,7442

Denominators are 732,9043

The GCF of 5618,7442 is 2 .

LCM of 732,9043 is 6619476.

The greatest common factor of 5618/732,7442/9043 = [GCF of 5618,7442]/[LCM of 732,9043]= 2/6619476

Therefore, the GCF of 5618/732,7442/9043 is 2/6619476.

Greatest Common Factor of 5618,7442

To find the highest common factor of 5618,7442, we have to find the factors of both numbers and list the highest common factor.

The factors of 5618 are 1, 2, 53, 106, 2809, 5618

The factors of 7442 are 1, 2, 61, 122, 3721, 7442

The HCF of 5618,7442 is 2.

Lets's calculate GCF of 5618,7442

Greatest Common Factor (GCF) of 5618,7442 By Common Division

2	5618, 7442
	2809, 3721

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

Greatest Common Factor of 5618,7442 By Matching Biggest Common Factor Method

Now, list down the factors of 5618

1,2,53,106,2809,5618

Now, list down the factors of 7442

1,2,61,122,3721,7442

Greatest Common Factor

We found the factors 5618,7442 . The biggest common factor number is the GCF number.
So the greatest common factor 5618,7442 is 2.

Lets's calculate LCM of 732,9043

Lowest Common Multiple of 732,9043 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6619476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6619476

Therefore, the GCF of Fractions 5618/732,7442/9043 is 2/6619476

Least Common Multiple of 732,9043 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 732,9043 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,9043) = 1

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

GCF(732,9043) x common factors =1 x 1 = 1

LCM(732,9043) = ( 732 × 9043 ) / 1

LCM(732,9043) = 6619476 / 1

LCM(732,9043) = 6619476

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5618/732, 7442/9043

1. What is the HCF of 5618,7442?

The HCF of 5618,7442 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 5618/732, 7442/9043?

Answer: GCF of Numerators as per given numbers 5618/732, 7442/9043 is

GCF of Numerators i.e. for 5618,7442 is 2

LCM of denominators i.e. for 732,9043 is 6619476.

Thus, GCF of Fractions is 2/6619476.Finally, GCF of Fractions for 5618/732, 7442/9043 is 2/6619476.