GCD of 504, 354, 742, 226 Calculator

Given Input numbers are 504, 354, 742, 226

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

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 (504, 354, 742, 226) = 2.

Given numbers are 504, 354, 742, 226

The list of prime factors of all numbers are

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 354 are 2 x 3 x 59

Prime factors of 742 are 2 x 7 x 53

Prime factors of 226 are 2 x 113

The highest common occurrence is 2¹

Therefore, GCD of 504, 354, 742, 226 is 2.

Given numbers are 504, 354, 742, 226

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

Apply this formula for all numbers.

Step1:

LCM(504, 354) = 29736

GCD(504, 354) = ( 504 x 354 ) / 29736

= 504 / 354

= 504

Step2:

LCM(6, 742) = 2226

GCD(6, 742) = ( 6 x 742 ) / 2226

= 6 / 742

= 6

Step3:

LCM(2, 226) = 226

GCD(2, 226) = ( 2 x 226 ) / 226

= 2 / 226

= 2

So, Greatest Common Divisor of 504, 354, 742, 226 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 513, 208, 207
• GCD of 117, 541, 462, 165
• GCD of 895, 376, 215, 732
• GCD of 551, 812, 779, 974
• GCD of 368, 896, 178, 873

Given numbers are 504, 354, 742, 226
The greatest common divisor of numbers 504, 354, 742, 226 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 354, 742, 226 is 2.

1. What is the GCD of 504, 354, 742, 226?

GCD of given numbers 504, 354, 742, 226 is 2

2. How to calculate the greatest common divisor of 504, 354, 742, 226?

We can find the highest common divisor of 504, 354, 742, 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 504, 354, 742, 226 i.e 2.

3. How can I use the GCD of 504, 354, 742, 226Calculator?

Out the numbers 504, 354, 742, 226 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.