Greatest Common Factor of 3650/306, 4416/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3650/306, 4416/170

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 3650/306,4416/170

Given fractions are 3650/306,4416/170

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 3650,4416

Greatest Common Factor of Numerators i.e. GCF of 3650,4416 is 2 .

LCM of Denominators means LCM of 306,170 as per the given fractions.

LCM of 306,170 is 1530 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3650,4416

GCF of Fractions 3650/306,4416/170 is 2/1530

2 3650, 4416
1825, 2208

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3650,4416 By Matching Biggest Common Factor Method

Greatest Common Factor of 3650,4416 By Matching Biggest Common Factor Method

Factors of 3650

List of positive integer factors of 3650 that divides 3650 without a remainder.

1,2,5,10,25,50,73,146,365,730,1825,3650

Factors of 4416

List of positive integer factors of 4416 that divides 4416 without a remainder.

1,2,3,4,6,8,12,16,23,24,32,46,48,64,69,92,96,138,184,192,276,368,552,736,1104,1472,2208,4416

Greatest Common Factor

We found the factors 3650,4416 . The biggest common factor number is the GCF number.
So the greatest common factor 3650,4416 is 2.

Lets's calculate LCM of 306,170

2 306, 170
17 153, 85
9, 5

∴ So the LCM of the given numbers is 2 x 17 x 9 x 5 = 1530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1530

Therefore, the GCF of Fractions 3650/306,4416/170 is 2/1530

Least Common Multiple of 306,170 with GCF Formula

Least Common Multiple of 306,170 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 306,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,170) = 34

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

GCF(306,170) x common factors =34 x 1 = 34

LCM(306,170) = ( 306 × 170 ) / 34

LCM(306,170) = 52020 / 34

LCM(306,170) = 1530


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 3650/306, 4416/170

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 3650/306, 4416/170?

Answer: GCF of Numerators as per given numbers 3650/306, 4416/170 is

GCF of Numerators i.e. for 3650,4416 is 2

LCM of denominators i.e. for 306,170 is 1530.

Thus, GCF of Fractions is 2/1530.Finally, GCF of Fractions for 3650/306, 4416/170 is 2/1530.