How to Find GCF of 1236/204, 4604/2744?

GCF of 1236/204, 4604/2744

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 1236/204, 4604/2744 i.e 4/139944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1236/204, 4604/2744.

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 1236/204,4604/2744?

Given fractions are 1236/204,4604/2744

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 1236/204,4604/2744, numerators are 1236,4604

Denominators are 204,2744

The GCF of 1236,4604 is 4 .

LCM of 204,2744 is 139944.

The greatest common factor of 1236/204,4604/2744 = [GCF of 1236,4604]/[LCM of 204,2744]= 4/139944

Therefore, the GCF of 1236/204,4604/2744 is 4/139944.

Greatest Common Factor of 1236,4604

To find the highest common factor of 1236,4604, we have to find the factors of both numbers and list the highest common factor.

The factors of 1236 are 1, 2, 3, 4, 6, 12, 103, 206, 309, 412, 618, 1236

The factors of 4604 are 1, 2, 4, 1151, 2302, 4604

The HCF of 1236,4604 is 4.

Lets's calculate GCF of 1236,4604

Greatest Common Factor (GCF) of 1236,4604 By Common Division

2	1236, 4604
2	618, 2302
	309, 1151

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1236,4604 By Matching Biggest Common Factor Method

Now, list down the factors of 1236

1,2,3,4,6,12,103,206,309,412,618,1236

Now, list down the factors of 4604

1,2,4,1151,2302,4604

Greatest Common Factor

We found the factors 1236,4604 . The biggest common factor number is the GCF number.
So the greatest common factor 1236,4604 is 4.

Lets's calculate LCM of 204,2744

Lowest Common Multiple of 204,2744 using Common Division

2	204, 2744
2	102, 1372
	51, 686

∴ So the LCM of the given numbers is 2 x 2 x 51 x 686 = 139944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/139944

Therefore, the GCF of Fractions 1236/204,4604/2744 is 4/139944

Least Common Multiple of 204,2744 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 204,2744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,2744) = 4

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

GCF(204,2744) x common factors =4 x 1 = 4

LCM(204,2744) = ( 204 × 2744 ) / 4

LCM(204,2744) = 559776 / 4

LCM(204,2744) = 139944

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FAQs on GCF of Fractions of 1236/204, 4604/2744

1. What is the HCF of 1236,4604?

The HCF of 1236,4604 is 4

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 1236/204, 4604/2744?

Answer: GCF of Numerators as per given numbers 1236/204, 4604/2744 is

GCF of Numerators i.e. for 1236,4604 is 4

LCM of denominators i.e. for 204,2744 is 139944.

Thus, GCF of Fractions is 4/139944.Finally, GCF of Fractions for 1236/204, 4604/2744 is 4/139944.