GCD of 553, 623, 150, 364 Calculator

Given Input numbers are 553, 623, 150, 364

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

Divisors of 553 :

The positive integer divisors of 553 that completely divides 553 are.

1, 7, 79, 553

Divisors of 623 :

The positive integer divisors of 623 that completely divides 623 are.

1, 7, 89, 623

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (553, 623, 150, 364) = 1.

Given numbers are 553, 623, 150, 364

The list of prime factors of all numbers are

Prime factors of 553 are 7 x 79

Prime factors of 623 are 7 x 89

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 364 are 2 x 2 x 7 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 553, 623, 150, 364

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

Apply this formula for all numbers.

Step1:

LCM(553, 623) = 49217

GCD(553, 623) = ( 553 x 623 ) / 49217

= 553 / 623

= 553

Step2:

LCM(7, 150) = 1050

GCD(7, 150) = ( 7 x 150 ) / 1050

= 7 / 150

= 7

Step3:

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

= 1 / 364

= 1

So, Greatest Common Divisor of 553, 623, 150, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 754, 798, 637, 833
• GCD of 463, 393, 279, 976
• GCD of 858, 901, 385, 383
• GCD of 242, 184, 455, 493
• GCD of 393, 625, 722, 199

Given numbers are 553, 623, 150, 364
The greatest common divisor of numbers 553, 623, 150, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 553, 623, 150, 364 is 1.

1. What is the GCD of 553, 623, 150, 364?

GCD of given numbers 553, 623, 150, 364 is 1

2. How to calculate the greatest common divisor of 553, 623, 150, 364?

We can find the highest common divisor of 553, 623, 150, 364 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 553, 623, 150, 364 i.e 1.

3. How can I use the GCD of 553, 623, 150, 364Calculator?

Out the numbers 553, 623, 150, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.