GCD of 150, 688, 689, 952 Calculator

Given Input numbers are 150, 688, 689, 952

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 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

GCD of numbers is the greatest common divisor

So, the GCD (150, 688, 689, 952) = 1.

Given numbers are 150, 688, 689, 952

The list of prime factors of all numbers are

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

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 689 are 13 x 53

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

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

Given numbers are 150, 688, 689, 952

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

Apply this formula for all numbers.

Step1:

LCM(150, 688) = 51600

GCD(150, 688) = ( 150 x 688 ) / 51600

= 150 / 688

= 150

Step2:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2

Step3:

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

= 1 / 952

= 1

So, Greatest Common Divisor of 150, 688, 689, 952 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 249, 752, 951, 492
• GCD of 406, 141, 833, 861
• GCD of 872, 201, 293, 177
• GCD of 216, 866, 570, 796
• GCD of 777, 989, 702, 538

Given numbers are 150, 688, 689, 952
The greatest common divisor of numbers 150, 688, 689, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 688, 689, 952 is 1.

1. What is the GCD of 150, 688, 689, 952?

GCD of given numbers 150, 688, 689, 952 is 1

2. How to calculate the greatest common divisor of 150, 688, 689, 952?

We can find the highest common divisor of 150, 688, 689, 952 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, 688, 689, 952 i.e 1.

3. How can I use the GCD of 150, 688, 689, 952Calculator?

Out the numbers 150, 688, 689, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.