Greatest Common Factor of 305/69, 614/3473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 305/69, 614/3473

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 305/69,614/3473

Given fractions are 305/69,614/3473

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 305,614

Greatest Common Factor of Numerators i.e. GCF of 305,614 is 1 .

LCM of Denominators means LCM of 69,3473 as per the given fractions.

LCM of 69,3473 is 10419 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 305,614

GCF of Fractions 305/69,614/3473 is 1/10419

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

Greatest Common Factor of 305,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 305,614 By Matching Biggest Common Factor Method

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 305,614 . The biggest common factor number is the GCF number.
So the greatest common factor 305,614 is 1.

Lets's calculate LCM of 69,3473

23 69, 3473
3, 151

∴ So the LCM of the given numbers is 23 x 3 x 151 = 10419

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10419

Therefore, the GCF of Fractions 305/69,614/3473 is 1/10419

Least Common Multiple of 69,3473 with GCF Formula

Least Common Multiple of 69,3473 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 69,3473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,3473) = 23

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

GCF(69,3473) x common factors =23 x 1 = 23

LCM(69,3473) = ( 69 × 3473 ) / 23

LCM(69,3473) = 239637 / 23

LCM(69,3473) = 10419


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 305/69, 614/3473

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 305/69, 614/3473?

Answer: GCF of Numerators as per given numbers 305/69, 614/3473 is

GCF of Numerators i.e. for 305,614 is 1

LCM of denominators i.e. for 69,3473 is 10419.

Thus, GCF of Fractions is 1/10419.Finally, GCF of Fractions for 305/69, 614/3473 is 1/10419.