Greatest Common Factor of 412/80, 706/57, 224/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 412/80, 706/57, 224/964

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 412/80,706/57,224/964

Given fractions are 412/80,706/57,224/964

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 412,706,224

Greatest Common Factor of Numerators i.e. GCF of 412,706,224 is 2 .

LCM of Denominators means LCM of 80,57,964 as per the given fractions.

LCM of 80,57,964 is 1098960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 412,706,224

GCF of Fractions 412/80,706/57,224/964 is 2/1098960

2 412, 706, 224
206, 353, 112

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

Greatest Common Factor of 412,706,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 412,706,224 By Matching Biggest Common Factor Method

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

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 412,706,224 . The biggest common factor number is the GCF number.
So the greatest common factor 412,706,224 is 2.

Lets's calculate LCM of 80,57,964

2 80, 57, 964
2 40, 57, 482
20, 57, 241

∴ So the LCM of the given numbers is 2 x 2 x 20 x 57 x 241 = 1098960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1098960

Therefore, the GCF of Fractions 412/80,706/57,224/964 is 2/1098960

Least Common Multiple of 80,57,964 with GCF Formula

Least Common Multiple of 80,57,964 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 80,57,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,57,964) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(80,57,964) x common factors =1 x 4 = 4

LCM(80,57,964) = ( 80 × 57 × 964 ) / 4

LCM(80,57,964) = 4395840 / 4

LCM(80,57,964) = 1098960


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 412/80, 706/57, 224/964

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 412/80, 706/57, 224/964?

Answer: GCF of Numerators as per given numbers 412/80, 706/57, 224/964 is

GCF of Numerators i.e. for 412,706,224 is 2

LCM of denominators i.e. for 80,57,964 is 1098960.

Thus, GCF of Fractions is 2/1098960.Finally, GCF of Fractions for 412/80, 706/57, 224/964 is 2/1098960.