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 389/46, 257/5079

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 389/46, 257/5079 i.e 1/233634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 389/46, 257/5079.

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 389/46,257/5079?

Given fractions are 389/46,257/5079

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 389/46,257/5079, numerators are 389,257

Denominators are 46,5079

The GCF of 389,257 is 1 .

LCM of 46,5079 is 233634.

The greatest common factor of 389/46,257/5079 = [GCF of 389,257]/[LCM of 46,5079]= 1/233634

Therefore, the GCF of 389/46,257/5079 is 1/233634.

Greatest Common Factor of 389,257

To find the highest common factor of 389,257, we have to find the factors of both numbers and list the highest common factor.

The factors of 389 are 1, 389

The factors of 257 are 1, 257

The HCF of 389,257 is 1.

Lets's calculate GCF of 389,257

Greatest Common Factor (GCF) of 389,257 By Common Division

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

Greatest Common Factor of 389,257 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,257 By Matching Biggest Common Factor Method

Now, list down the factors of 389

:

1,389

Now, list down the factors of 257

:

1,257

Greatest Common Factor

We found the factors 389,257 . The biggest common factor number is the GCF number.
So the greatest common factor 389,257 is 1.

Lets's calculate LCM of 46,5079

Lowest Common Multiple of 46,5079 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 233634

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/233634

Therefore, the GCF of Fractions 389/46,257/5079 is 1/233634

Least Common Multiple of 46,5079 with GCF Formula

Least Common Multiple of 46,5079 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 46,5079 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,5079) = 1

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

GCF(46,5079) x common factors =1 x 1 = 1

LCM(46,5079) = ( 46 × 5079 ) / 1

LCM(46,5079) = 233634 / 1

LCM(46,5079) = 233634


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 389/46, 257/5079

1. What is the HCF of 389,257?

The HCF of 389,257 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 389/46, 257/5079?

Answer: GCF of Numerators as per given numbers 389/46, 257/5079 is

GCF of Numerators i.e. for 389,257 is 1

LCM of denominators i.e. for 46,5079 is 233634.

Thus, GCF of Fractions is 1/233634.Finally, GCF of Fractions for 389/46, 257/5079 is 1/233634.