GCD of 450, 492, 765, 942 Calculator

Given Input numbers are 450, 492, 765, 942

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

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

GCD of numbers is the greatest common divisor

So, the GCD (450, 492, 765, 942) = 3.

Given numbers are 450, 492, 765, 942

The list of prime factors of all numbers are

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 942 are 2 x 3 x 157

The highest common occurrence is 3¹

Therefore, GCD of 450, 492, 765, 942 is 3.

Given numbers are 450, 492, 765, 942

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

Apply this formula for all numbers.

Step1:

LCM(450, 492) = 36900

GCD(450, 492) = ( 450 x 492 ) / 36900

= 450 / 492

= 450

Step2:

LCM(6, 765) = 1530

GCD(6, 765) = ( 6 x 765 ) / 1530

= 6 / 765

= 6

Step3:

LCM(3, 942) = 942

GCD(3, 942) = ( 3 x 942 ) / 942

= 3 / 942

= 3

So, Greatest Common Divisor of 450, 492, 765, 942 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 359, 777, 350, 825
• GCD of 687, 594, 471, 597
• GCD of 912, 582, 295, 237
• GCD of 926, 877, 917, 409
• GCD of 791, 409, 737, 137

Given numbers are 450, 492, 765, 942
The greatest common divisor of numbers 450, 492, 765, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 492, 765, 942 is 3.

1. What is the GCD of 450, 492, 765, 942?

GCD of given numbers 450, 492, 765, 942 is 3

2. How to calculate the greatest common divisor of 450, 492, 765, 942?

We can find the highest common divisor of 450, 492, 765, 942 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 450, 492, 765, 942 i.e 3.

3. How can I use the GCD of 450, 492, 765, 942Calculator?

Out the numbers 450, 492, 765, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.