GCD of 462, 590, 146, 974 Calculator

Given Input numbers are 462, 590, 146, 974

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 974 :

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

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (462, 590, 146, 974) = 2.

Given numbers are 462, 590, 146, 974

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 590 are 2 x 5 x 59

Prime factors of 146 are 2 x 73

Prime factors of 974 are 2 x 487

The highest common occurrence is 2¹

Therefore, GCD of 462, 590, 146, 974 is 2.

Given numbers are 462, 590, 146, 974

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

Apply this formula for all numbers.

Step1:

LCM(462, 590) = 136290

GCD(462, 590) = ( 462 x 590 ) / 136290

= 462 / 590

= 462

Step2:

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

= 2 / 146

= 2

Step3:

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

= 2 / 974

= 2

So, Greatest Common Divisor of 462, 590, 146, 974 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 183, 806, 269, 457
• GCD of 197, 668, 745, 251
• GCD of 937, 547, 866, 445
• GCD of 894, 167, 102, 805
• GCD of 991, 496, 318, 586

Given numbers are 462, 590, 146, 974
The greatest common divisor of numbers 462, 590, 146, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 590, 146, 974 is 2.

1. What is the GCD of 462, 590, 146, 974?

GCD of given numbers 462, 590, 146, 974 is 2

2. How to calculate the greatest common divisor of 462, 590, 146, 974?

We can find the highest common divisor of 462, 590, 146, 974 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 462, 590, 146, 974 i.e 2.

3. How can I use the GCD of 462, 590, 146, 974Calculator?

Out the numbers 462, 590, 146, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.