Greatest Common Factor of 308/151, 729/203, 814/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 308/151, 729/203, 814/414

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 308/151,729/203,814/414

Given fractions are 308/151,729/203,814/414

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 308,729,814

Greatest Common Factor of Numerators i.e. GCF of 308,729,814 is 1 .

LCM of Denominators means LCM of 151,203,414 as per the given fractions.

LCM of 151,203,414 is 12690342 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 308,729,814

GCF of Fractions 308/151,729/203,814/414 is 1/12690342

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

Greatest Common Factor of 308,729,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,729,814 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 308,729,814 . The biggest common factor number is the GCF number.
So the greatest common factor 308,729,814 is 1.

Lets's calculate LCM of 151,203,414

Given numbers has no common factors except 1. So, there LCM is their product i.e 12690342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12690342

Therefore, the GCF of Fractions 308/151,729/203,814/414 is 1/12690342

Least Common Multiple of 151,203,414 with GCF Formula

Least Common Multiple of 151,203,414 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 151,203,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(151,203,414) = 1

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

GCF(151,203,414) x common factors =1 x 1 = 1

LCM(151,203,414) = ( 151 × 203 × 414 ) / 1

LCM(151,203,414) = 12690342 / 1

LCM(151,203,414) = 12690342


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 308/151, 729/203, 814/414

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 308/151, 729/203, 814/414?

Answer: GCF of Numerators as per given numbers 308/151, 729/203, 814/414 is

GCF of Numerators i.e. for 308,729,814 is 1

LCM of denominators i.e. for 151,203,414 is 12690342.

Thus, GCF of Fractions is 1/12690342.Finally, GCF of Fractions for 308/151, 729/203, 814/414 is 1/12690342.