Greatest Common Factor of 307/784, 8417/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 307/784, 8417/458

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 307/784,8417/458

Given fractions are 307/784,8417/458

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 307,8417

Greatest Common Factor of Numerators i.e. GCF of 307,8417 is 1 .

LCM of Denominators means LCM of 784,458 as per the given fractions.

LCM of 784,458 is 179536 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 307,8417

GCF of Fractions 307/784,8417/458 is 1/179536

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

Greatest Common Factor of 307,8417 By Matching Biggest Common Factor Method

Greatest Common Factor of 307,8417 By Matching Biggest Common Factor Method

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 8417

List of positive integer factors of 8417 that divides 8417 without a remainder.

1,19,443,8417

Greatest Common Factor

We found the factors 307,8417 . The biggest common factor number is the GCF number.
So the greatest common factor 307,8417 is 1.

Lets's calculate LCM of 784,458

2 784, 458
392, 229

∴ So the LCM of the given numbers is 2 x 392 x 229 = 179536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/179536

Therefore, the GCF of Fractions 307/784,8417/458 is 1/179536

Least Common Multiple of 784,458 with GCF Formula

Least Common Multiple of 784,458 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 784,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,458) = 2

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

GCF(784,458) x common factors =2 x 1 = 2

LCM(784,458) = ( 784 × 458 ) / 2

LCM(784,458) = 359072 / 2

LCM(784,458) = 179536


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 307/784, 8417/458

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 307/784, 8417/458?

Answer: GCF of Numerators as per given numbers 307/784, 8417/458 is

GCF of Numerators i.e. for 307,8417 is 1

LCM of denominators i.e. for 784,458 is 179536.

Thus, GCF of Fractions is 1/179536.Finally, GCF of Fractions for 307/784, 8417/458 is 1/179536.