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 310/454, 399/290

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 310/454, 399/290 i.e 1/65830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 310/454, 399/290.

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 310/454,399/290?

Given fractions are 310/454,399/290

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 310/454,399/290, numerators are 310,399

Denominators are 454,290

The GCF of 310,399 is 1 .

LCM of 454,290 is 65830.

The greatest common factor of 310/454,399/290 = [GCF of 310,399]/[LCM of 454,290]= 1/65830

Therefore, the GCF of 310/454,399/290 is 1/65830.

Greatest Common Factor of 310,399

To find the highest common factor of 310,399, 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 399 are 1, 3, 7, 19, 21, 57, 133, 399

The HCF of 310,399 is 1.

Lets's calculate GCF of 310,399

Greatest Common Factor (GCF) of 310,399 By Common Division

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

Greatest Common Factor of 310,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,399 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 399

:

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 310,399 . The biggest common factor number is the GCF number.
So the greatest common factor 310,399 is 1.

Lets's calculate LCM of 454,290

Lowest Common Multiple of 454,290 using Common Division

2 454, 290
227, 145

∴ So the LCM of the given numbers is 2 x 227 x 145 = 65830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65830

Therefore, the GCF of Fractions 310/454,399/290 is 1/65830

Least Common Multiple of 454,290 with GCF Formula

Least Common Multiple of 454,290 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 454,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,290) = 2

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

GCF(454,290) x common factors =2 x 1 = 2

LCM(454,290) = ( 454 × 290 ) / 2

LCM(454,290) = 131660 / 2

LCM(454,290) = 65830


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 310/454, 399/290

1. What is the HCF of 310,399?

The HCF of 310,399 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 310/454, 399/290?

Answer: GCF of Numerators as per given numbers 310/454, 399/290 is

GCF of Numerators i.e. for 310,399 is 1

LCM of denominators i.e. for 454,290 is 65830.

Thus, GCF of Fractions is 1/65830.Finally, GCF of Fractions for 310/454, 399/290 is 1/65830.