How to Find GCF of 4422/484, 3606/5756?

GCF of 4422/484, 3606/5756

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 4422/484, 3606/5756 i.e 6/696476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4422/484, 3606/5756.

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 4422/484,3606/5756?

Given fractions are 4422/484,3606/5756

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 4422/484,3606/5756, numerators are 4422,3606

Denominators are 484,5756

The GCF of 4422,3606 is 6 .

LCM of 484,5756 is 696476.

The greatest common factor of 4422/484,3606/5756 = [GCF of 4422,3606]/[LCM of 484,5756]= 6/696476

Therefore, the GCF of 4422/484,3606/5756 is 6/696476.

Greatest Common Factor of 4422,3606

To find the highest common factor of 4422,3606, we have to find the factors of both numbers and list the highest common factor.

The factors of 4422 are 1, 2, 3, 6, 11, 22, 33, 66, 67, 134, 201, 402, 737, 1474, 2211, 4422

The factors of 3606 are 1, 2, 3, 6, 601, 1202, 1803, 3606

The HCF of 4422,3606 is 6.

Lets's calculate GCF of 4422,3606

Greatest Common Factor (GCF) of 4422,3606 By Common Division

2	4422, 3606
3	2211, 1803
	737, 601

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 4422,3606 By Matching Biggest Common Factor Method

Now, list down the factors of 4422

1,2,3,6,11,22,33,66,67,134,201,402,737,1474,2211,4422

Now, list down the factors of 3606

1,2,3,6,601,1202,1803,3606

Greatest Common Factor

We found the factors 4422,3606 . The biggest common factor number is the GCF number.
So the greatest common factor 4422,3606 is 6.

Lets's calculate LCM of 484,5756

Lowest Common Multiple of 484,5756 using Common Division

2	484, 5756
2	242, 2878
	121, 1439

∴ So the LCM of the given numbers is 2 x 2 x 121 x 1439 = 696476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/696476

Therefore, the GCF of Fractions 4422/484,3606/5756 is 6/696476

Least Common Multiple of 484,5756 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 484,5756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,5756) = 4

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

GCF(484,5756) x common factors =4 x 1 = 4

LCM(484,5756) = ( 484 × 5756 ) / 4

LCM(484,5756) = 2785904 / 4

LCM(484,5756) = 696476

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FAQs on GCF of Fractions of 4422/484, 3606/5756

1. What is the HCF of 4422,3606?

The HCF of 4422,3606 is 6

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 4422/484, 3606/5756?

Answer: GCF of Numerators as per given numbers 4422/484, 3606/5756 is

GCF of Numerators i.e. for 4422,3606 is 6

LCM of denominators i.e. for 484,5756 is 696476.

Thus, GCF of Fractions is 6/696476.Finally, GCF of Fractions for 4422/484, 3606/5756 is 6/696476.