GCD of 164, 900, 658, 280 Calculator

Given Input numbers are 164, 900, 658, 280

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

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (164, 900, 658, 280) = 2.

Given numbers are 164, 900, 658, 280

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 658 are 2 x 7 x 47

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 164, 900, 658, 280 is 2.

Given numbers are 164, 900, 658, 280

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

Apply this formula for all numbers.

Step1:

LCM(164, 900) = 36900

GCD(164, 900) = ( 164 x 900 ) / 36900

= 164 / 900

= 164

Step2:

LCM(4, 658) = 1316

GCD(4, 658) = ( 4 x 658 ) / 1316

= 4 / 658

= 4

Step3:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

So, Greatest Common Divisor of 164, 900, 658, 280 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 305, 369, 637
• GCD of 722, 623, 321, 475
• GCD of 336, 405, 223, 903
• GCD of 851, 421, 152, 916
• GCD of 228, 790, 374, 114

Given numbers are 164, 900, 658, 280
The greatest common divisor of numbers 164, 900, 658, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 900, 658, 280 is 2.

1. What is the GCD of 164, 900, 658, 280?

GCD of given numbers 164, 900, 658, 280 is 2

2. How to calculate the greatest common divisor of 164, 900, 658, 280?

We can find the highest common divisor of 164, 900, 658, 280 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 164, 900, 658, 280 i.e 2.

3. How can I use the GCD of 164, 900, 658, 280Calculator?

Out the numbers 164, 900, 658, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.