How to Find GCF of 618/37, 544/6165?

GCF of 618/37, 544/6165

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 618/37, 544/6165 i.e 2/228105 easily. The following is the detailed procedure to determine the greatest common factor of fractions 618/37, 544/6165.

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 618/37,544/6165?

Given fractions are 618/37,544/6165

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 618/37,544/6165, numerators are 618,544

Denominators are 37,6165

The GCF of 618,544 is 2 .

LCM of 37,6165 is 228105.

The greatest common factor of 618/37,544/6165 = [GCF of 618,544]/[LCM of 37,6165]= 2/228105

Therefore, the GCF of 618/37,544/6165 is 2/228105.

Greatest Common Factor of 618,544

To find the highest common factor of 618,544, we have to find the factors of both numbers and list the highest common factor.

The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618

The factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

The HCF of 618,544 is 2.

Lets's calculate GCF of 618,544

Greatest Common Factor (GCF) of 618,544 By Common Division

2	618, 544
	309, 272

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

Greatest Common Factor of 618,544 By Matching Biggest Common Factor Method

Now, list down the factors of 618

1,2,3,6,103,206,309,618

Now, list down the factors of 544

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors 618,544 . The biggest common factor number is the GCF number.
So the greatest common factor 618,544 is 2.

Lets's calculate LCM of 37,6165

Lowest Common Multiple of 37,6165 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 228105

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/228105

Therefore, the GCF of Fractions 618/37,544/6165 is 2/228105

Least Common Multiple of 37,6165 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 37,6165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,6165) = 1

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

GCF(37,6165) x common factors =1 x 1 = 1

LCM(37,6165) = ( 37 × 6165 ) / 1

LCM(37,6165) = 228105 / 1

LCM(37,6165) = 228105

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FAQs on GCF of Fractions of 618/37, 544/6165

1. What is the HCF of 618,544?

The HCF of 618,544 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 618/37, 544/6165?

Answer: GCF of Numerators as per given numbers 618/37, 544/6165 is

GCF of Numerators i.e. for 618,544 is 2

LCM of denominators i.e. for 37,6165 is 228105.

Thus, GCF of Fractions is 2/228105.Finally, GCF of Fractions for 618/37, 544/6165 is 2/228105.