How to Find GCF of 3626/576, 3926/1223?

GCF of 3626/576, 3926/1223

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 3626/576, 3926/1223 i.e 2/704448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3626/576, 3926/1223.

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 3626/576,3926/1223?

Given fractions are 3626/576,3926/1223

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 3626/576,3926/1223, numerators are 3626,3926

Denominators are 576,1223

The GCF of 3626,3926 is 2 .

LCM of 576,1223 is 704448.

The greatest common factor of 3626/576,3926/1223 = [GCF of 3626,3926]/[LCM of 576,1223]= 2/704448

Therefore, the GCF of 3626/576,3926/1223 is 2/704448.

Greatest Common Factor of 3626,3926

To find the highest common factor of 3626,3926, we have to find the factors of both numbers and list the highest common factor.

The factors of 3626 are 1, 2, 7, 14, 37, 49, 74, 98, 259, 518, 1813, 3626

The factors of 3926 are 1, 2, 13, 26, 151, 302, 1963, 3926

The HCF of 3626,3926 is 2.

Lets's calculate GCF of 3626,3926

Greatest Common Factor (GCF) of 3626,3926 By Common Division

2	3626, 3926
	1813, 1963

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

Greatest Common Factor of 3626,3926 By Matching Biggest Common Factor Method

Now, list down the factors of 3626

1,2,7,14,37,49,74,98,259,518,1813,3626

Now, list down the factors of 3926

1,2,13,26,151,302,1963,3926

Greatest Common Factor

We found the factors 3626,3926 . The biggest common factor number is the GCF number.
So the greatest common factor 3626,3926 is 2.

Lets's calculate LCM of 576,1223

Lowest Common Multiple of 576,1223 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 704448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/704448

Therefore, the GCF of Fractions 3626/576,3926/1223 is 2/704448

Least Common Multiple of 576,1223 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 576,1223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,1223) = 1

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

GCF(576,1223) x common factors =1 x 1 = 1

LCM(576,1223) = ( 576 × 1223 ) / 1

LCM(576,1223) = 704448 / 1

LCM(576,1223) = 704448

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FAQs on GCF of Fractions of 3626/576, 3926/1223

1. What is the HCF of 3626,3926?

The HCF of 3626,3926 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 3626/576, 3926/1223?

Answer: GCF of Numerators as per given numbers 3626/576, 3926/1223 is

GCF of Numerators i.e. for 3626,3926 is 2

LCM of denominators i.e. for 576,1223 is 704448.

Thus, GCF of Fractions is 2/704448.Finally, GCF of Fractions for 3626/576, 3926/1223 is 2/704448.