Greatest Common Factor of 3322/365, 1510/9471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3322/365, 1510/9471

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 3322/365,1510/9471

Given fractions are 3322/365,1510/9471

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 3322,1510

Greatest Common Factor of Numerators i.e. GCF of 3322,1510 is 302 .

LCM of Denominators means LCM of 365,9471 as per the given fractions.

LCM of 365,9471 is 3456915 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3322,1510

GCF of Fractions 3322/365,1510/9471 is 302/3456915

2 3322, 1510
151 1661, 755
11, 5

∴ So the GCF of the given numbers is 2 x 151 = 302

Greatest Common Factor of 3322,1510 By Matching Biggest Common Factor Method

Greatest Common Factor of 3322,1510 By Matching Biggest Common Factor Method

Factors of 3322

List of positive integer factors of 3322 that divides 3322 without a remainder.

1,2,11,22,151,302,1661,3322

Factors of 1510

List of positive integer factors of 1510 that divides 1510 without a remainder.

1,2,5,10,151,302,755,1510

Greatest Common Factor

We found the factors 3322,1510 . The biggest common factor number is the GCF number.
So the greatest common factor 3322,1510 is 302.

Lets's calculate LCM of 365,9471

Given numbers has no common factors except 1. So, there LCM is their product i.e 3456915

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 302/3456915

Therefore, the GCF of Fractions 3322/365,1510/9471 is 302/3456915

Least Common Multiple of 365,9471 with GCF Formula

Least Common Multiple of 365,9471 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 365,9471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,9471) = 1

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

GCF(365,9471) x common factors =1 x 1 = 1

LCM(365,9471) = ( 365 × 9471 ) / 1

LCM(365,9471) = 3456915 / 1

LCM(365,9471) = 3456915


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 3322/365, 1510/9471

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 3322/365, 1510/9471?

Answer: GCF of Numerators as per given numbers 3322/365, 1510/9471 is

GCF of Numerators i.e. for 3322,1510 is 302

LCM of denominators i.e. for 365,9471 is 3456915.

Thus, GCF of Fractions is 302/3456915.Finally, GCF of Fractions for 3322/365, 1510/9471 is 302/3456915.