Greatest Common Factor of 400/97, 224/2305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 400/97, 224/2305

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 400/97,224/2305

Given fractions are 400/97,224/2305

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 400,224

Greatest Common Factor of Numerators i.e. GCF of 400,224 is 16 .

LCM of Denominators means LCM of 97,2305 as per the given fractions.

LCM of 97,2305 is 223585 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 400,224

GCF of Fractions 400/97,224/2305 is 16/223585

2 400, 224
2 200, 112
2 100, 56
2 50, 28
25, 14

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 400,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,224 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 400,224 . The biggest common factor number is the GCF number.
So the greatest common factor 400,224 is 16.

Lets's calculate LCM of 97,2305

Given numbers has no common factors except 1. So, there LCM is their product i.e 223585

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/223585

Therefore, the GCF of Fractions 400/97,224/2305 is 16/223585

Least Common Multiple of 97,2305 with GCF Formula

Least Common Multiple of 97,2305 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 97,2305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,2305) = 1

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

GCF(97,2305) x common factors =1 x 1 = 1

LCM(97,2305) = ( 97 × 2305 ) / 1

LCM(97,2305) = 223585 / 1

LCM(97,2305) = 223585


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 400/97, 224/2305

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 400/97, 224/2305?

Answer: GCF of Numerators as per given numbers 400/97, 224/2305 is

GCF of Numerators i.e. for 400,224 is 16

LCM of denominators i.e. for 97,2305 is 223585.

Thus, GCF of Fractions is 16/223585.Finally, GCF of Fractions for 400/97, 224/2305 is 16/223585.