How to Find GCF of 3042/720, 4442/6154?

GCF of 3042/720, 4442/6154

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 3042/720, 4442/6154 i.e 2/2215440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3042/720, 4442/6154.

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 3042/720,4442/6154?

Given fractions are 3042/720,4442/6154

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 3042/720,4442/6154, numerators are 3042,4442

Denominators are 720,6154

The GCF of 3042,4442 is 2 .

LCM of 720,6154 is 2215440.

The greatest common factor of 3042/720,4442/6154 = [GCF of 3042,4442]/[LCM of 720,6154]= 2/2215440

Therefore, the GCF of 3042/720,4442/6154 is 2/2215440.

Greatest Common Factor of 3042,4442

To find the highest common factor of 3042,4442, we have to find the factors of both numbers and list the highest common factor.

The factors of 3042 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521, 3042

The factors of 4442 are 1, 2, 2221, 4442

The HCF of 3042,4442 is 2.

Lets's calculate GCF of 3042,4442

Greatest Common Factor (GCF) of 3042,4442 By Common Division

2	3042, 4442
	1521, 2221

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

Greatest Common Factor of 3042,4442 By Matching Biggest Common Factor Method

Now, list down the factors of 3042

1,2,3,6,9,13,18,26,39,78,117,169,234,338,507,1014,1521,3042

Now, list down the factors of 4442

1,2,2221,4442

Greatest Common Factor

We found the factors 3042,4442 . The biggest common factor number is the GCF number.
So the greatest common factor 3042,4442 is 2.

Lets's calculate LCM of 720,6154

Lowest Common Multiple of 720,6154 using Common Division

2	720, 6154
	360, 3077

∴ So the LCM of the given numbers is 2 x 360 x 3077 = 2215440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2215440

Therefore, the GCF of Fractions 3042/720,4442/6154 is 2/2215440

Least Common Multiple of 720,6154 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 720,6154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,6154) = 2

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

GCF(720,6154) x common factors =2 x 1 = 2

LCM(720,6154) = ( 720 × 6154 ) / 2

LCM(720,6154) = 4430880 / 2

LCM(720,6154) = 2215440

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FAQs on GCF of Fractions of 3042/720, 4442/6154

1. What is the HCF of 3042,4442?

The HCF of 3042,4442 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 3042/720, 4442/6154?

Answer: GCF of Numerators as per given numbers 3042/720, 4442/6154 is

GCF of Numerators i.e. for 3042,4442 is 2

LCM of denominators i.e. for 720,6154 is 2215440.

Thus, GCF of Fractions is 2/2215440.Finally, GCF of Fractions for 3042/720, 4442/6154 is 2/2215440.