GCD of 902, 120, 598, 462 Calculator

Given Input numbers are 902, 120, 598, 462

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

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

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

GCD of numbers is the greatest common divisor

So, the GCD (902, 120, 598, 462) = 2.

Given numbers are 902, 120, 598, 462

The list of prime factors of all numbers are

Prime factors of 902 are 2 x 11 x 41

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 598 are 2 x 13 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 902, 120, 598, 462 is 2.

Given numbers are 902, 120, 598, 462

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

Apply this formula for all numbers.

Step1:

LCM(902, 120) = 54120

GCD(902, 120) = ( 902 x 120 ) / 54120

= 902 / 120

= 902

Step2:

LCM(2, 598) = 598

GCD(2, 598) = ( 2 x 598 ) / 598

= 2 / 598

= 2

Step3:

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

= 2 / 462

= 2

So, Greatest Common Divisor of 902, 120, 598, 462 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 719, 484, 322, 310
• GCD of 550, 376, 360, 580
• GCD of 847, 573, 187, 112
• GCD of 528, 938, 890, 913
• GCD of 270, 869, 822, 997

Given numbers are 902, 120, 598, 462
The greatest common divisor of numbers 902, 120, 598, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 902, 120, 598, 462 is 2.

1. What is the GCD of 902, 120, 598, 462?

GCD of given numbers 902, 120, 598, 462 is 2

2. How to calculate the greatest common divisor of 902, 120, 598, 462?

We can find the highest common divisor of 902, 120, 598, 462 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 902, 120, 598, 462 i.e 2.

3. How can I use the GCD of 902, 120, 598, 462Calculator?

Out the numbers 902, 120, 598, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.