GCD of 762, 735, 936, 459 Calculator

Given Input numbers are 762, 735, 936, 459

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

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

GCD of numbers is the greatest common divisor

So, the GCD (762, 735, 936, 459) = 3.

Given numbers are 762, 735, 936, 459

The list of prime factors of all numbers are

Prime factors of 762 are 2 x 3 x 127

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 459 are 3 x 3 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 762, 735, 936, 459 is 3.

Given numbers are 762, 735, 936, 459

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

Apply this formula for all numbers.

Step1:

LCM(762, 735) = 186690

GCD(762, 735) = ( 762 x 735 ) / 186690

= 762 / 735

= 762

Step2:

LCM(3, 936) = 936

GCD(3, 936) = ( 3 x 936 ) / 936

= 3 / 936

= 3

Step3:

LCM(3, 459) = 459

GCD(3, 459) = ( 3 x 459 ) / 459

= 3 / 459

= 3

So, Greatest Common Divisor of 762, 735, 936, 459 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 895, 136, 713, 477
• GCD of 962, 423, 344, 643
• GCD of 850, 408, 725, 199
• GCD of 195, 455, 985, 750
• GCD of 265, 803, 570, 418

Given numbers are 762, 735, 936, 459
The greatest common divisor of numbers 762, 735, 936, 459 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 735, 936, 459 is 3.

1. What is the GCD of 762, 735, 936, 459?

GCD of given numbers 762, 735, 936, 459 is 3

2. How to calculate the greatest common divisor of 762, 735, 936, 459?

We can find the highest common divisor of 762, 735, 936, 459 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 762, 735, 936, 459 i.e 3.

3. How can I use the GCD of 762, 735, 936, 459Calculator?

Out the numbers 762, 735, 936, 459 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.