Greatest Common Factor of 1416/307, 9459/9618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1416/307, 9459/9618

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 1416/307,9459/9618

Given fractions are 1416/307,9459/9618

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 1416,9459

Greatest Common Factor of Numerators i.e. GCF of 1416,9459 is 3 .

LCM of Denominators means LCM of 307,9618 as per the given fractions.

LCM of 307,9618 is 2952726 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1416,9459

GCF of Fractions 1416/307,9459/9618 is 3/2952726

3 1416, 9459
472, 3153

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1416,9459 By Matching Biggest Common Factor Method

Greatest Common Factor of 1416,9459 By Matching Biggest Common Factor Method

Factors of 1416

List of positive integer factors of 1416 that divides 1416 without a remainder.

1,2,3,4,6,8,12,24,59,118,177,236,354,472,708,1416

Factors of 9459

List of positive integer factors of 9459 that divides 9459 without a remainder.

1,3,9,1051,3153,9459

Greatest Common Factor

We found the factors 1416,9459 . The biggest common factor number is the GCF number.
So the greatest common factor 1416,9459 is 3.

Lets's calculate LCM of 307,9618

Given numbers has no common factors except 1. So, there LCM is their product i.e 2952726

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2952726

Therefore, the GCF of Fractions 1416/307,9459/9618 is 3/2952726

Least Common Multiple of 307,9618 with GCF Formula

Least Common Multiple of 307,9618 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 307,9618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,9618) = 1

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

GCF(307,9618) x common factors =1 x 1 = 1

LCM(307,9618) = ( 307 × 9618 ) / 1

LCM(307,9618) = 2952726 / 1

LCM(307,9618) = 2952726


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 1416/307, 9459/9618

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 1416/307, 9459/9618?

Answer: GCF of Numerators as per given numbers 1416/307, 9459/9618 is

GCF of Numerators i.e. for 1416,9459 is 3

LCM of denominators i.e. for 307,9618 is 2952726.

Thus, GCF of Fractions is 3/2952726.Finally, GCF of Fractions for 1416/307, 9459/9618 is 3/2952726.