GCD of 536, 974, 122, 825 Calculator

Given Input numbers are 536, 974, 122, 825

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

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (536, 974, 122, 825) = 1.

Given numbers are 536, 974, 122, 825

The list of prime factors of all numbers are

Prime factors of 536 are 2 x 2 x 2 x 67

Prime factors of 974 are 2 x 487

Prime factors of 122 are 2 x 61

Prime factors of 825 are 3 x 5 x 5 x 11

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

Given numbers are 536, 974, 122, 825

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

Apply this formula for all numbers.

Step1:

LCM(536, 974) = 261032

GCD(536, 974) = ( 536 x 974 ) / 261032

= 536 / 974

= 536

Step2:

LCM(2, 122) = 122

GCD(2, 122) = ( 2 x 122 ) / 122

= 2 / 122

= 2

Step3:

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

= 2 / 825

= 2

So, Greatest Common Divisor of 536, 974, 122, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 581, 719, 631, 468
• GCD of 245, 643, 660, 391
• GCD of 316, 414, 208, 998
• GCD of 321, 663, 735, 413
• GCD of 990, 280, 589, 802

Given numbers are 536, 974, 122, 825
The greatest common divisor of numbers 536, 974, 122, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 974, 122, 825 is 1.

1. What is the GCD of 536, 974, 122, 825?

GCD of given numbers 536, 974, 122, 825 is 1

2. How to calculate the greatest common divisor of 536, 974, 122, 825?

We can find the highest common divisor of 536, 974, 122, 825 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 536, 974, 122, 825 i.e 1.

3. How can I use the GCD of 536, 974, 122, 825Calculator?

Out the numbers 536, 974, 122, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.