Greatest Common Factor of 350/386, 3247/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 350/386, 3247/774

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 350/386,3247/774

Given fractions are 350/386,3247/774

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 350,3247

Greatest Common Factor of Numerators i.e. GCF of 350,3247 is 1 .

LCM of Denominators means LCM of 386,774 as per the given fractions.

LCM of 386,774 is 149382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 350,3247

GCF of Fractions 350/386,3247/774 is 1/149382

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

Greatest Common Factor of 350,3247 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,3247 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 3247

List of positive integer factors of 3247 that divides 3247 without a remainder.

1,17,191,3247

Greatest Common Factor

We found the factors 350,3247 . The biggest common factor number is the GCF number.
So the greatest common factor 350,3247 is 1.

Lets's calculate LCM of 386,774

2 386, 774
193, 387

∴ So the LCM of the given numbers is 2 x 193 x 387 = 149382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149382

Therefore, the GCF of Fractions 350/386,3247/774 is 1/149382

Least Common Multiple of 386,774 with GCF Formula

Least Common Multiple of 386,774 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 386,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,774) = 2

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

GCF(386,774) x common factors =2 x 1 = 2

LCM(386,774) = ( 386 × 774 ) / 2

LCM(386,774) = 298764 / 2

LCM(386,774) = 149382


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 350/386, 3247/774

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 350/386, 3247/774?

Answer: GCF of Numerators as per given numbers 350/386, 3247/774 is

GCF of Numerators i.e. for 350,3247 is 1

LCM of denominators i.e. for 386,774 is 149382.

Thus, GCF of Fractions is 1/149382.Finally, GCF of Fractions for 350/386, 3247/774 is 1/149382.