How to Find GCF of 6361/164, 4428/2344?

GCF of 6361/164, 4428/2344

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 6361/164, 4428/2344 i.e 1/96104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6361/164, 4428/2344.

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 6361/164,4428/2344?

Given fractions are 6361/164,4428/2344

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 6361/164,4428/2344, numerators are 6361,4428

Denominators are 164,2344

The GCF of 6361,4428 is 1 .

LCM of 164,2344 is 96104.

The greatest common factor of 6361/164,4428/2344 = [GCF of 6361,4428]/[LCM of 164,2344]= 1/96104

Therefore, the GCF of 6361/164,4428/2344 is 1/96104.

Greatest Common Factor of 6361,4428

To find the highest common factor of 6361,4428, we have to find the factors of both numbers and list the highest common factor.

The factors of 6361 are 1, 6361

The factors of 4428 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 41, 54, 82, 108, 123, 164, 246, 369, 492, 738, 1107, 1476, 2214, 4428

The HCF of 6361,4428 is 1.

Lets's calculate GCF of 6361,4428

Greatest Common Factor (GCF) of 6361,4428 By Common Division

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

Greatest Common Factor of 6361,4428 By Matching Biggest Common Factor Method

Now, list down the factors of 6361

1,6361

Now, list down the factors of 4428

1,2,3,4,6,9,12,18,27,36,41,54,82,108,123,164,246,369,492,738,1107,1476,2214,4428

Greatest Common Factor

We found the factors 6361,4428 . The biggest common factor number is the GCF number.
So the greatest common factor 6361,4428 is 1.

Lets's calculate LCM of 164,2344

Lowest Common Multiple of 164,2344 using Common Division

2	164, 2344
2	82, 1172
	41, 586

∴ So the LCM of the given numbers is 2 x 2 x 41 x 586 = 96104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96104

Therefore, the GCF of Fractions 6361/164,4428/2344 is 1/96104

Least Common Multiple of 164,2344 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 164,2344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,2344) = 4

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

GCF(164,2344) x common factors =4 x 1 = 4

LCM(164,2344) = ( 164 × 2344 ) / 4

LCM(164,2344) = 384416 / 4

LCM(164,2344) = 96104

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6361/164, 4428/2344

1. What is the HCF of 6361,4428?

The HCF of 6361,4428 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 6361/164, 4428/2344?

Answer: GCF of Numerators as per given numbers 6361/164, 4428/2344 is

GCF of Numerators i.e. for 6361,4428 is 1

LCM of denominators i.e. for 164,2344 is 96104.

Thus, GCF of Fractions is 1/96104.Finally, GCF of Fractions for 6361/164, 4428/2344 is 1/96104.