How to Find GCF of 310/171, 4433/424?

GCF of 310/171, 4433/424

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 310/171, 4433/424 i.e 31/72504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 310/171, 4433/424.

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 310/171,4433/424?

Given fractions are 310/171,4433/424

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 310/171,4433/424, numerators are 310,4433

Denominators are 171,424

The GCF of 310,4433 is 31 .

LCM of 171,424 is 72504.

The greatest common factor of 310/171,4433/424 = [GCF of 310,4433]/[LCM of 171,424]= 31/72504

Therefore, the GCF of 310/171,4433/424 is 31/72504.

Greatest Common Factor of 310,4433

To find the highest common factor of 310,4433, we have to find the factors of both numbers and list the highest common factor.

The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310

The factors of 4433 are 1, 11, 13, 31, 143, 341, 403, 4433

The HCF of 310,4433 is 31.

Lets's calculate GCF of 310,4433

Greatest Common Factor (GCF) of 310,4433 By Common Division

31	310, 4433
	10, 143

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 310,4433 By Matching Biggest Common Factor Method

Now, list down the factors of 310

1,2,5,10,31,62,155,310

Now, list down the factors of 4433

1,11,13,31,143,341,403,4433

Greatest Common Factor

We found the factors 310,4433 . The biggest common factor number is the GCF number.
So the greatest common factor 310,4433 is 31.

Lets's calculate LCM of 171,424

Lowest Common Multiple of 171,424 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 72504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/72504

Therefore, the GCF of Fractions 310/171,4433/424 is 31/72504

Least Common Multiple of 171,424 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 171,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,424) = 1

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

GCF(171,424) x common factors =1 x 1 = 1

LCM(171,424) = ( 171 × 424 ) / 1

LCM(171,424) = 72504 / 1

LCM(171,424) = 72504

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 310/171, 4433/424

1. What is the HCF of 310,4433?

The HCF of 310,4433 is 31

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 310/171, 4433/424?

Answer: GCF of Numerators as per given numbers 310/171, 4433/424 is

GCF of Numerators i.e. for 310,4433 is 31

LCM of denominators i.e. for 171,424 is 72504.

Thus, GCF of Fractions is 31/72504.Finally, GCF of Fractions for 310/171, 4433/424 is 31/72504.