LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 164/24, 460/446

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 164/24, 460/446 i.e 4/5352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 164/24, 460/446.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 164/24,460/446?

Given fractions are 164/24,460/446

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 164/24,460/446, numerators are 164,460

Denominators are 24,446

The GCF of 164,460 is 4 .

LCM of 24,446 is 5352.

The greatest common factor of 164/24,460/446 = [GCF of 164,460]/[LCM of 24,446]= 4/5352

Therefore, the GCF of 164/24,460/446 is 4/5352.

Greatest Common Factor of 164,460

To find the highest common factor of 164,460, we have to find the factors of both numbers and list the highest common factor.

The factors of 164 are 1, 2, 4, 41, 82, 164

The factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

The HCF of 164,460 is 4.

Lets's calculate GCF of 164,460

Greatest Common Factor (GCF) of 164,460 By Common Division

2 164, 460
2 82, 230
41, 115

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 164,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,460 By Matching Biggest Common Factor Method

Now, list down the factors of 164

:

1,2,4,41,82,164

Now, list down the factors of 460

:

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 164,460 . The biggest common factor number is the GCF number.
So the greatest common factor 164,460 is 4.

Lets's calculate LCM of 24,446

Lowest Common Multiple of 24,446 using Common Division

2 24, 446
12, 223

∴ So the LCM of the given numbers is 2 x 12 x 223 = 5352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5352

Therefore, the GCF of Fractions 164/24,460/446 is 4/5352

Least Common Multiple of 24,446 with GCF Formula

Least Common Multiple of 24,446 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 24,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,446) = 2

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

GCF(24,446) x common factors =2 x 1 = 2

LCM(24,446) = ( 24 × 446 ) / 2

LCM(24,446) = 10704 / 2

LCM(24,446) = 5352


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 164/24, 460/446

1. What is the HCF of 164,460?

The HCF of 164,460 is 4

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 164/24, 460/446?

Answer: GCF of Numerators as per given numbers 164/24, 460/446 is

GCF of Numerators i.e. for 164,460 is 4

LCM of denominators i.e. for 24,446 is 5352.

Thus, GCF of Fractions is 4/5352.Finally, GCF of Fractions for 164/24, 460/446 is 4/5352.