GCD of 468, 706, 790, 942 Calculator

Given Input numbers are 468, 706, 790, 942

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

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 (468, 706, 790, 942) = 2.

Given numbers are 468, 706, 790, 942

The list of prime factors of all numbers are

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 706 are 2 x 353

Prime factors of 790 are 2 x 5 x 79

Prime factors of 942 are 2 x 3 x 157

The highest common occurrence is 2¹

Therefore, GCD of 468, 706, 790, 942 is 2.

Given numbers are 468, 706, 790, 942

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

Apply this formula for all numbers.

Step1:

LCM(468, 706) = 165204

GCD(468, 706) = ( 468 x 706 ) / 165204

= 468 / 706

= 468

Step2:

LCM(2, 790) = 790

GCD(2, 790) = ( 2 x 790 ) / 790

= 2 / 790

= 2

Step3:

LCM(2, 942) = 942

GCD(2, 942) = ( 2 x 942 ) / 942

= 2 / 942

= 2

So, Greatest Common Divisor of 468, 706, 790, 942 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 312, 133, 659, 687
• GCD of 127, 390, 976, 748
• GCD of 836, 911, 506, 728
• GCD of 952, 776, 211, 904
• GCD of 113, 335, 348, 747

Given numbers are 468, 706, 790, 942
The greatest common divisor of numbers 468, 706, 790, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 706, 790, 942 is 2.

1. What is the GCD of 468, 706, 790, 942?

GCD of given numbers 468, 706, 790, 942 is 2

2. How to calculate the greatest common divisor of 468, 706, 790, 942?

We can find the highest common divisor of 468, 706, 790, 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 468, 706, 790, 942 i.e 2.

3. How can I use the GCD of 468, 706, 790, 942Calculator?

Out the numbers 468, 706, 790, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.