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 142/403, 614/819

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 142/403, 614/819 i.e 2/25389 easily. The following is the detailed procedure to determine the greatest common factor of fractions 142/403, 614/819.

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 142/403,614/819?

Given fractions are 142/403,614/819

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 142/403,614/819, numerators are 142,614

Denominators are 403,819

The GCF of 142,614 is 2 .

LCM of 403,819 is 25389.

The greatest common factor of 142/403,614/819 = [GCF of 142,614]/[LCM of 403,819]= 2/25389

Therefore, the GCF of 142/403,614/819 is 2/25389.

Greatest Common Factor of 142,614

To find the highest common factor of 142,614, we have to find the factors of both numbers and list the highest common factor.

The factors of 142 are 1, 2, 71, 142

The factors of 614 are 1, 2, 307, 614

The HCF of 142,614 is 2.

Lets's calculate GCF of 142,614

Greatest Common Factor (GCF) of 142,614 By Common Division

2 142, 614
71, 307

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

Greatest Common Factor of 142,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,614 By Matching Biggest Common Factor Method

Now, list down the factors of 142

:

1,2,71,142

Now, list down the factors of 614

:

1,2,307,614

Greatest Common Factor

We found the factors 142,614 . The biggest common factor number is the GCF number.
So the greatest common factor 142,614 is 2.

Lets's calculate LCM of 403,819

Lowest Common Multiple of 403,819 using Common Division

13 403, 819
31, 63

∴ So the LCM of the given numbers is 13 x 31 x 63 = 25389

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25389

Therefore, the GCF of Fractions 142/403,614/819 is 2/25389

Least Common Multiple of 403,819 with GCF Formula

Least Common Multiple of 403,819 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 403,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(403,819) = 13

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

GCF(403,819) x common factors =13 x 1 = 13

LCM(403,819) = ( 403 × 819 ) / 13

LCM(403,819) = 330057 / 13

LCM(403,819) = 25389


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 142/403, 614/819

1. What is the HCF of 142,614?

The HCF of 142,614 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 142/403, 614/819?

Answer: GCF of Numerators as per given numbers 142/403, 614/819 is

GCF of Numerators i.e. for 142,614 is 2

LCM of denominators i.e. for 403,819 is 25389.

Thus, GCF of Fractions is 2/25389.Finally, GCF of Fractions for 142/403, 614/819 is 2/25389.