GCD of 724, 468, 304, 226 Calculator

Given Input numbers are 724, 468, 304, 226

In the factoring method, we have to find the divisors of all numbers

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

GCD of numbers is the greatest common divisor

So, the GCD (724, 468, 304, 226) = 2.

Given numbers are 724, 468, 304, 226

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 226 are 2 x 113

The highest common occurrence is 2¹

Therefore, GCD of 724, 468, 304, 226 is 2.

Given numbers are 724, 468, 304, 226

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(724, 468) = 84708

GCD(724, 468) = ( 724 x 468 ) / 84708

= 724 / 468

= 724

Step2:

LCM(4, 304) = 304

GCD(4, 304) = ( 4 x 304 ) / 304

= 4 / 304

= 4

Step3:

LCM(4, 226) = 452

GCD(4, 226) = ( 4 x 226 ) / 452

= 4 / 226

= 4

So, Greatest Common Divisor of 724, 468, 304, 226 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 341, 505, 407, 267
• GCD of 507, 398, 985, 634
• GCD of 978, 484, 178, 581
• GCD of 103, 273, 639, 761
• GCD of 368, 947, 993, 978

Given numbers are 724, 468, 304, 226
The greatest common divisor of numbers 724, 468, 304, 226 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 468, 304, 226 is 2.

1. What is the GCD of 724, 468, 304, 226?

GCD of given numbers 724, 468, 304, 226 is 2

2. How to calculate the greatest common divisor of 724, 468, 304, 226?

We can find the highest common divisor of 724, 468, 304, 226 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 724, 468, 304, 226 i.e 2.

3. How can I use the GCD of 724, 468, 304, 226Calculator?

Out the numbers 724, 468, 304, 226 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.