Greatest Common Factor of 382/514, 3638/2950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 382/514, 3638/2950

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 382/514,3638/2950

Given fractions are 382/514,3638/2950

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 382,3638

Greatest Common Factor of Numerators i.e. GCF of 382,3638 is 2 .

LCM of Denominators means LCM of 514,2950 as per the given fractions.

LCM of 514,2950 is 758150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 382,3638

GCF of Fractions 382/514,3638/2950 is 2/758150

2 382, 3638
191, 1819

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

Greatest Common Factor of 382,3638 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,3638 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 3638

List of positive integer factors of 3638 that divides 3638 without a remainder.

1,2,17,34,107,214,1819,3638

Greatest Common Factor

We found the factors 382,3638 . The biggest common factor number is the GCF number.
So the greatest common factor 382,3638 is 2.

Lets's calculate LCM of 514,2950

2 514, 2950
257, 1475

∴ So the LCM of the given numbers is 2 x 257 x 1475 = 758150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/758150

Therefore, the GCF of Fractions 382/514,3638/2950 is 2/758150

Least Common Multiple of 514,2950 with GCF Formula

Least Common Multiple of 514,2950 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 514,2950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,2950) = 2

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

GCF(514,2950) x common factors =2 x 1 = 2

LCM(514,2950) = ( 514 × 2950 ) / 2

LCM(514,2950) = 1516300 / 2

LCM(514,2950) = 758150


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 382/514, 3638/2950

1. 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.

2. What is the GCF of Fractions for 382/514, 3638/2950?

Answer: GCF of Numerators as per given numbers 382/514, 3638/2950 is

GCF of Numerators i.e. for 382,3638 is 2

LCM of denominators i.e. for 514,2950 is 758150.

Thus, GCF of Fractions is 2/758150.Finally, GCF of Fractions for 382/514, 3638/2950 is 2/758150.