GCD of 150, 692, 508, 684 Calculator

Given Input numbers are 150, 692, 508, 684

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

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 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (150, 692, 508, 684) = 2.

Given numbers are 150, 692, 508, 684

The list of prime factors of all numbers are

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

Prime factors of 692 are 2 x 2 x 173

Prime factors of 508 are 2 x 2 x 127

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 150, 692, 508, 684 is 2.

Given numbers are 150, 692, 508, 684

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

Apply this formula for all numbers.

Step1:

LCM(150, 692) = 51900

GCD(150, 692) = ( 150 x 692 ) / 51900

= 150 / 692

= 150

Step2:

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

= 2 / 508

= 2

Step3:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2

So, Greatest Common Divisor of 150, 692, 508, 684 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 784, 235, 162
• GCD of 507, 968, 416, 175
• GCD of 376, 123, 415, 239
• GCD of 411, 175, 977, 776
• GCD of 626, 217, 879, 290

Given numbers are 150, 692, 508, 684
The greatest common divisor of numbers 150, 692, 508, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 692, 508, 684 is 2.

1. What is the GCD of 150, 692, 508, 684?

GCD of given numbers 150, 692, 508, 684 is 2

2. How to calculate the greatest common divisor of 150, 692, 508, 684?

We can find the highest common divisor of 150, 692, 508, 684 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 150, 692, 508, 684 i.e 2.

3. How can I use the GCD of 150, 692, 508, 684Calculator?

Out the numbers 150, 692, 508, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.