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 107/299, 421/494

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 107/299, 421/494 i.e 1/11362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 107/299, 421/494.

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 107/299,421/494?

Given fractions are 107/299,421/494

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 107/299,421/494, numerators are 107,421

Denominators are 299,494

The GCF of 107,421 is 1 .

LCM of 299,494 is 11362.

The greatest common factor of 107/299,421/494 = [GCF of 107,421]/[LCM of 299,494]= 1/11362

Therefore, the GCF of 107/299,421/494 is 1/11362.

Greatest Common Factor of 107,421

To find the highest common factor of 107,421, we have to find the factors of both numbers and list the highest common factor.

The factors of 107 are 1, 107

The factors of 421 are 1, 421

The HCF of 107,421 is 1.

Lets's calculate GCF of 107,421

Greatest Common Factor (GCF) of 107,421 By Common Division

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

Greatest Common Factor of 107,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 107,421 By Matching Biggest Common Factor Method

Now, list down the factors of 107

:

1,107

Now, list down the factors of 421

:

1,421

Greatest Common Factor

We found the factors 107,421 . The biggest common factor number is the GCF number.
So the greatest common factor 107,421 is 1.

Lets's calculate LCM of 299,494

Lowest Common Multiple of 299,494 using Common Division

13 299, 494
23, 38

∴ So the LCM of the given numbers is 13 x 23 x 38 = 11362

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11362

Therefore, the GCF of Fractions 107/299,421/494 is 1/11362

Least Common Multiple of 299,494 with GCF Formula

Least Common Multiple of 299,494 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 299,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,494) = 13

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

GCF(299,494) x common factors =13 x 1 = 13

LCM(299,494) = ( 299 × 494 ) / 13

LCM(299,494) = 147706 / 13

LCM(299,494) = 11362


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 107/299, 421/494

1. What is the HCF of 107,421?

The HCF of 107,421 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 107/299, 421/494?

Answer: GCF of Numerators as per given numbers 107/299, 421/494 is

GCF of Numerators i.e. for 107,421 is 1

LCM of denominators i.e. for 299,494 is 11362.

Thus, GCF of Fractions is 1/11362.Finally, GCF of Fractions for 107/299, 421/494 is 1/11362.