GCD of 362, 552, 980, 468 Calculator

Given Input numbers are 362, 552, 980, 468

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

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

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

GCD of numbers is the greatest common divisor

So, the GCD (362, 552, 980, 468) = 2.

Given numbers are 362, 552, 980, 468

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 362, 552, 980, 468 is 2.

Given numbers are 362, 552, 980, 468

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

Apply this formula for all numbers.

Step1:

LCM(362, 552) = 99912

GCD(362, 552) = ( 362 x 552 ) / 99912

= 362 / 552

= 362

Step2:

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

= 2 / 980

= 2

Step3:

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

= 2 / 468

= 2

So, Greatest Common Divisor of 362, 552, 980, 468 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 425, 106, 912, 251
• GCD of 365, 777, 259, 556
• GCD of 830, 245, 653, 946
• GCD of 118, 815, 443, 323
• GCD of 154, 311, 639, 748

Given numbers are 362, 552, 980, 468
The greatest common divisor of numbers 362, 552, 980, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 552, 980, 468 is 2.

1. What is the GCD of 362, 552, 980, 468?

GCD of given numbers 362, 552, 980, 468 is 2

2. How to calculate the greatest common divisor of 362, 552, 980, 468?

We can find the highest common divisor of 362, 552, 980, 468 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 362, 552, 980, 468 i.e 2.

3. How can I use the GCD of 362, 552, 980, 468Calculator?

Out the numbers 362, 552, 980, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.