GCD of 150, 892, 968, 532 Calculator

Given Input numbers are 150, 892, 968, 532

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 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

GCD of numbers is the greatest common divisor

So, the GCD (150, 892, 968, 532) = 2.

Given numbers are 150, 892, 968, 532

The list of prime factors of all numbers are

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

Prime factors of 892 are 2 x 2 x 223

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 532 are 2 x 2 x 7 x 19

The highest common occurrence is 2¹

Therefore, GCD of 150, 892, 968, 532 is 2.

Given numbers are 150, 892, 968, 532

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

Apply this formula for all numbers.

Step1:

LCM(150, 892) = 66900

GCD(150, 892) = ( 150 x 892 ) / 66900

= 150 / 892

= 150

Step2:

LCM(2, 968) = 968

GCD(2, 968) = ( 2 x 968 ) / 968

= 2 / 968

= 2

Step3:

LCM(2, 532) = 532

GCD(2, 532) = ( 2 x 532 ) / 532

= 2 / 532

= 2

So, Greatest Common Divisor of 150, 892, 968, 532 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 724, 875, 296, 567
• GCD of 759, 758, 679, 713
• GCD of 779, 249, 652, 718
• GCD of 171, 240, 882, 528
• GCD of 714, 764, 767, 662

Given numbers are 150, 892, 968, 532
The greatest common divisor of numbers 150, 892, 968, 532 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 892, 968, 532 is 2.

1. What is the GCD of 150, 892, 968, 532?

GCD of given numbers 150, 892, 968, 532 is 2

2. How to calculate the greatest common divisor of 150, 892, 968, 532?

We can find the highest common divisor of 150, 892, 968, 532 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, 892, 968, 532 i.e 2.

3. How can I use the GCD of 150, 892, 968, 532Calculator?

Out the numbers 150, 892, 968, 532 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.