Greatest Common Factor of 1614/370, 5784/9017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1614/370, 5784/9017

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 1614/370,5784/9017

Given fractions are 1614/370,5784/9017

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 1614,5784

Greatest Common Factor of Numerators i.e. GCF of 1614,5784 is 6 .

LCM of Denominators means LCM of 370,9017 as per the given fractions.

LCM of 370,9017 is 3336290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1614,5784

GCF of Fractions 1614/370,5784/9017 is 6/3336290

2 1614, 5784
3 807, 2892
269, 964

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 1614,5784 By Matching Biggest Common Factor Method

Greatest Common Factor of 1614,5784 By Matching Biggest Common Factor Method

Factors of 1614

List of positive integer factors of 1614 that divides 1614 without a remainder.

1,2,3,6,269,538,807,1614

Factors of 5784

List of positive integer factors of 5784 that divides 5784 without a remainder.

1,2,3,4,6,8,12,24,241,482,723,964,1446,1928,2892,5784

Greatest Common Factor

We found the factors 1614,5784 . The biggest common factor number is the GCF number.
So the greatest common factor 1614,5784 is 6.

Lets's calculate LCM of 370,9017

Given numbers has no common factors except 1. So, there LCM is their product i.e 3336290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3336290

Therefore, the GCF of Fractions 1614/370,5784/9017 is 6/3336290

Least Common Multiple of 370,9017 with GCF Formula

Least Common Multiple of 370,9017 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 370,9017 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(370,9017) = 1

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

GCF(370,9017) x common factors =1 x 1 = 1

LCM(370,9017) = ( 370 × 9017 ) / 1

LCM(370,9017) = 3336290 / 1

LCM(370,9017) = 3336290


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 1614/370, 5784/9017

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 1614/370, 5784/9017?

Answer: GCF of Numerators as per given numbers 1614/370, 5784/9017 is

GCF of Numerators i.e. for 1614,5784 is 6

LCM of denominators i.e. for 370,9017 is 3336290.

Thus, GCF of Fractions is 6/3336290.Finally, GCF of Fractions for 1614/370, 5784/9017 is 6/3336290.