How to Find GCF of 6221/432, 4662/1656?

GCF of 6221/432, 4662/1656

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 6221/432, 4662/1656 i.e 1/9936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6221/432, 4662/1656.

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 6221/432,4662/1656?

Given fractions are 6221/432,4662/1656

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 6221/432,4662/1656, numerators are 6221,4662

Denominators are 432,1656

The GCF of 6221,4662 is 1 .

LCM of 432,1656 is 9936.

The greatest common factor of 6221/432,4662/1656 = [GCF of 6221,4662]/[LCM of 432,1656]= 1/9936

Therefore, the GCF of 6221/432,4662/1656 is 1/9936.

Greatest Common Factor of 6221,4662

To find the highest common factor of 6221,4662, we have to find the factors of both numbers and list the highest common factor.

The factors of 6221 are 1, 6221

The factors of 4662 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331, 4662

The HCF of 6221,4662 is 1.

Lets's calculate GCF of 6221,4662

Greatest Common Factor (GCF) of 6221,4662 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6221,4662 By Matching Biggest Common Factor Method

Now, list down the factors of 6221

1,6221

Now, list down the factors of 4662

1,2,3,6,7,9,14,18,21,37,42,63,74,111,126,222,259,333,518,666,777,1554,2331,4662

Greatest Common Factor

We found the factors 6221,4662 . The biggest common factor number is the GCF number.
So the greatest common factor 6221,4662 is 1.

Lets's calculate LCM of 432,1656

Lowest Common Multiple of 432,1656 using Common Division

2	432, 1656
2	216, 828
2	108, 414
3	54, 207
3	18, 69
	6, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 6 x 23 = 9936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9936

Therefore, the GCF of Fractions 6221/432,4662/1656 is 1/9936

Least Common Multiple of 432,1656 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 432,1656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,1656) = 72

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

GCF(432,1656) x common factors =72 x 1 = 72

LCM(432,1656) = ( 432 × 1656 ) / 72

LCM(432,1656) = 715392 / 72

LCM(432,1656) = 9936

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6221/432, 4662/1656

1. What is the HCF of 6221,4662?

The HCF of 6221,4662 is 1

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 6221/432, 4662/1656?

Answer: GCF of Numerators as per given numbers 6221/432, 4662/1656 is

GCF of Numerators i.e. for 6221,4662 is 1

LCM of denominators i.e. for 432,1656 is 9936.

Thus, GCF of Fractions is 1/9936.Finally, GCF of Fractions for 6221/432, 4662/1656 is 1/9936.