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 310/28, 432/568

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 310/28, 432/568 i.e 2/3976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 310/28, 432/568.

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 310/28,432/568?

Given fractions are 310/28,432/568

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 310/28,432/568, numerators are 310,432

Denominators are 28,568

The GCF of 310,432 is 2 .

LCM of 28,568 is 3976.

The greatest common factor of 310/28,432/568 = [GCF of 310,432]/[LCM of 28,568]= 2/3976

Therefore, the GCF of 310/28,432/568 is 2/3976.

Greatest Common Factor of 310,432

To find the highest common factor of 310,432, 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 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

The HCF of 310,432 is 2.

Lets's calculate GCF of 310,432

Greatest Common Factor (GCF) of 310,432 By Common Division

2 310, 432
155, 216

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

Greatest Common Factor of 310,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,432 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 432

:

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 310,432 . The biggest common factor number is the GCF number.
So the greatest common factor 310,432 is 2.

Lets's calculate LCM of 28,568

Lowest Common Multiple of 28,568 using Common Division

2 28, 568
2 14, 284
7, 142

∴ So the LCM of the given numbers is 2 x 2 x 7 x 142 = 3976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3976

Therefore, the GCF of Fractions 310/28,432/568 is 2/3976

Least Common Multiple of 28,568 with GCF Formula

Least Common Multiple of 28,568 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 28,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,568) = 4

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

GCF(28,568) x common factors =4 x 1 = 4

LCM(28,568) = ( 28 × 568 ) / 4

LCM(28,568) = 15904 / 4

LCM(28,568) = 3976


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 310/28, 432/568

1. What is the HCF of 310,432?

The HCF of 310,432 is 2

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 310/28, 432/568?

Answer: GCF of Numerators as per given numbers 310/28, 432/568 is

GCF of Numerators i.e. for 310,432 is 2

LCM of denominators i.e. for 28,568 is 3976.

Thus, GCF of Fractions is 2/3976.Finally, GCF of Fractions for 310/28, 432/568 is 2/3976.