Greatest Common Factor of 350/22, 200/68, 360/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 350/22, 200/68, 360/993

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 350/22,200/68,360/993

Given fractions are 350/22,200/68,360/993

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 350,200,360

Greatest Common Factor of Numerators i.e. GCF of 350,200,360 is 10 .

LCM of Denominators means LCM of 22,68,993 as per the given fractions.

LCM of 22,68,993 is 742764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 350,200,360

GCF of Fractions 350/22,200/68,360/993 is 10/742764

2 350, 200, 360
5 175, 100, 180
35, 20, 36

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

Greatest Common Factor of 350,200,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,200,360 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 350,200,360 . The biggest common factor number is the GCF number.
So the greatest common factor 350,200,360 is 10.

Lets's calculate LCM of 22,68,993

2 22, 68, 993
11, 34, 993

∴ So the LCM of the given numbers is 2 x 11 x 34 x 993 = 742764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/742764

Therefore, the GCF of Fractions 350/22,200/68,360/993 is 10/742764

Least Common Multiple of 22,68,993 with GCF Formula

Least Common Multiple of 22,68,993 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 22,68,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,68,993) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(22,68,993) x common factors =1 x 2 = 2

LCM(22,68,993) = ( 22 × 68 × 993 ) / 2

LCM(22,68,993) = 1485528 / 2

LCM(22,68,993) = 742764


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 350/22, 200/68, 360/993

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 350/22, 200/68, 360/993?

Answer: GCF of Numerators as per given numbers 350/22, 200/68, 360/993 is

GCF of Numerators i.e. for 350,200,360 is 10

LCM of denominators i.e. for 22,68,993 is 742764.

Thus, GCF of Fractions is 10/742764.Finally, GCF of Fractions for 350/22, 200/68, 360/993 is 10/742764.