GCD of 492, 810, 940, 692 Calculator

Given Input numbers are 492, 810, 940, 692

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

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 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

GCD of numbers is the greatest common divisor

So, the GCD (492, 810, 940, 692) = 2.

Given numbers are 492, 810, 940, 692

The list of prime factors of all numbers are

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

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 692 are 2 x 2 x 173

The highest common occurrence is 2¹

Therefore, GCD of 492, 810, 940, 692 is 2.

Given numbers are 492, 810, 940, 692

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

Apply this formula for all numbers.

Step1:

LCM(492, 810) = 66420

GCD(492, 810) = ( 492 x 810 ) / 66420

= 492 / 810

= 492

Step2:

LCM(6, 940) = 2820

GCD(6, 940) = ( 6 x 940 ) / 2820

= 6 / 940

= 6

Step3:

LCM(2, 692) = 692

GCD(2, 692) = ( 2 x 692 ) / 692

= 2 / 692

= 2

So, Greatest Common Divisor of 492, 810, 940, 692 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 660, 934, 925
• GCD of 505, 874, 769, 232
• GCD of 100, 746, 974, 322
• GCD of 536, 262, 655, 209
• GCD of 245, 788, 559, 743

Given numbers are 492, 810, 940, 692
The greatest common divisor of numbers 492, 810, 940, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 810, 940, 692 is 2.

1. What is the GCD of 492, 810, 940, 692?

GCD of given numbers 492, 810, 940, 692 is 2

2. How to calculate the greatest common divisor of 492, 810, 940, 692?

We can find the highest common divisor of 492, 810, 940, 692 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 492, 810, 940, 692 i.e 2.

3. How can I use the GCD of 492, 810, 940, 692Calculator?

Out the numbers 492, 810, 940, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.