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 427/40, 164/5852

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 427/40, 164/5852 i.e 1/58520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 427/40, 164/5852.

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 427/40,164/5852?

Given fractions are 427/40,164/5852

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 427/40,164/5852, numerators are 427,164

Denominators are 40,5852

The GCF of 427,164 is 1 .

LCM of 40,5852 is 58520.

The greatest common factor of 427/40,164/5852 = [GCF of 427,164]/[LCM of 40,5852]= 1/58520

Therefore, the GCF of 427/40,164/5852 is 1/58520.

Greatest Common Factor of 427,164

To find the highest common factor of 427,164, we have to find the factors of both numbers and list the highest common factor.

The factors of 427 are 1, 7, 61, 427

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

The HCF of 427,164 is 1.

Lets's calculate GCF of 427,164

Greatest Common Factor (GCF) of 427,164 By Common Division

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

Greatest Common Factor of 427,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 427,164 By Matching Biggest Common Factor Method

Now, list down the factors of 427

:

1,7,61,427

Now, list down the factors of 164

:

1,2,4,41,82,164

Greatest Common Factor

We found the factors 427,164 . The biggest common factor number is the GCF number.
So the greatest common factor 427,164 is 1.

Lets's calculate LCM of 40,5852

Lowest Common Multiple of 40,5852 using Common Division

2 40, 5852
2 20, 2926
10, 1463

∴ So the LCM of the given numbers is 2 x 2 x 10 x 1463 = 58520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58520

Therefore, the GCF of Fractions 427/40,164/5852 is 1/58520

Least Common Multiple of 40,5852 with GCF Formula

Least Common Multiple of 40,5852 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 40,5852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,5852) = 4

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

GCF(40,5852) x common factors =4 x 1 = 4

LCM(40,5852) = ( 40 × 5852 ) / 4

LCM(40,5852) = 234080 / 4

LCM(40,5852) = 58520


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 427/40, 164/5852

1. What is the HCF of 427,164?

The HCF of 427,164 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 427/40, 164/5852?

Answer: GCF of Numerators as per given numbers 427/40, 164/5852 is

GCF of Numerators i.e. for 427,164 is 1

LCM of denominators i.e. for 40,5852 is 58520.

Thus, GCF of Fractions is 1/58520.Finally, GCF of Fractions for 427/40, 164/5852 is 1/58520.