Greatest Common Factor of 320/818, 7350/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 320/818, 7350/216

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 320/818,7350/216

Given fractions are 320/818,7350/216

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 320,7350

Greatest Common Factor of Numerators i.e. GCF of 320,7350 is 10 .

LCM of Denominators means LCM of 818,216 as per the given fractions.

LCM of 818,216 is 88344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 320,7350

GCF of Fractions 320/818,7350/216 is 10/88344

2 320, 7350
5 160, 3675
32, 735

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 320,7350 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,7350 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 7350

List of positive integer factors of 7350 that divides 7350 without a remainder.

1,2,3,5,6,7,10,14,15,21,25,30,35,42,49,50,70,75,98,105,147,150,175,210,245,294,350,490,525,735,1050,1225,1470,2450,3675,7350

Greatest Common Factor

We found the factors 320,7350 . The biggest common factor number is the GCF number.
So the greatest common factor 320,7350 is 10.

Lets's calculate LCM of 818,216

2 818, 216
409, 108

∴ So the LCM of the given numbers is 2 x 409 x 108 = 88344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/88344

Therefore, the GCF of Fractions 320/818,7350/216 is 10/88344

Least Common Multiple of 818,216 with GCF Formula

Least Common Multiple of 818,216 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 818,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(818,216) = 2

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

GCF(818,216) x common factors =2 x 1 = 2

LCM(818,216) = ( 818 × 216 ) / 2

LCM(818,216) = 176688 / 2

LCM(818,216) = 88344


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 320/818, 7350/216

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 320/818, 7350/216?

Answer: GCF of Numerators as per given numbers 320/818, 7350/216 is

GCF of Numerators i.e. for 320,7350 is 10

LCM of denominators i.e. for 818,216 is 88344.

Thus, GCF of Fractions is 10/88344.Finally, GCF of Fractions for 320/818, 7350/216 is 10/88344.