How to Find GCF of 444/172, 5358/632?

GCF of 444/172, 5358/632

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 444/172, 5358/632 i.e 6/27176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 444/172, 5358/632.

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 444/172,5358/632?

Given fractions are 444/172,5358/632

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 444/172,5358/632, numerators are 444,5358

Denominators are 172,632

The GCF of 444,5358 is 6 .

LCM of 172,632 is 27176.

The greatest common factor of 444/172,5358/632 = [GCF of 444,5358]/[LCM of 172,632]= 6/27176

Therefore, the GCF of 444/172,5358/632 is 6/27176.

Greatest Common Factor of 444,5358

To find the highest common factor of 444,5358, we have to find the factors of both numbers and list the highest common factor.

The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

The factors of 5358 are 1, 2, 3, 6, 19, 38, 47, 57, 94, 114, 141, 282, 893, 1786, 2679, 5358

The HCF of 444,5358 is 6.

Lets's calculate GCF of 444,5358

Greatest Common Factor (GCF) of 444,5358 By Common Division

2	444, 5358
3	222, 2679
	74, 893

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

Greatest Common Factor of 444,5358 By Matching Biggest Common Factor Method

Now, list down the factors of 444

1,2,3,4,6,12,37,74,111,148,222,444

Now, list down the factors of 5358

1,2,3,6,19,38,47,57,94,114,141,282,893,1786,2679,5358

Greatest Common Factor

We found the factors 444,5358 . The biggest common factor number is the GCF number.
So the greatest common factor 444,5358 is 6.

Lets's calculate LCM of 172,632

Lowest Common Multiple of 172,632 using Common Division

2	172, 632
2	86, 316
	43, 158

∴ So the LCM of the given numbers is 2 x 2 x 43 x 158 = 27176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/27176

Therefore, the GCF of Fractions 444/172,5358/632 is 6/27176

Least Common Multiple of 172,632 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 172,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,632) = 4

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

GCF(172,632) x common factors =4 x 1 = 4

LCM(172,632) = ( 172 × 632 ) / 4

LCM(172,632) = 108704 / 4

LCM(172,632) = 27176

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 444/172, 5358/632

1. What is the HCF of 444,5358?

The HCF of 444,5358 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 444/172, 5358/632?

Answer: GCF of Numerators as per given numbers 444/172, 5358/632 is

GCF of Numerators i.e. for 444,5358 is 6

LCM of denominators i.e. for 172,632 is 27176.

Thus, GCF of Fractions is 6/27176.Finally, GCF of Fractions for 444/172, 5358/632 is 6/27176.