GCD of 762, 106, 474, 466 Calculator

Given Input numbers are 762, 106, 474, 466

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 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

GCD of numbers is the greatest common divisor

So, the GCD (762, 106, 474, 466) = 2.

Given numbers are 762, 106, 474, 466

The list of prime factors of all numbers are

Prime factors of 762 are 2 x 3 x 127

Prime factors of 106 are 2 x 53

Prime factors of 474 are 2 x 3 x 79

Prime factors of 466 are 2 x 233

The highest common occurrence is 2¹

Therefore, GCD of 762, 106, 474, 466 is 2.

Given numbers are 762, 106, 474, 466

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

Apply this formula for all numbers.

Step1:

LCM(762, 106) = 40386

GCD(762, 106) = ( 762 x 106 ) / 40386

= 762 / 106

= 762

Step2:

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

= 2 / 474

= 2

Step3:

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

= 2 / 466

= 2

So, Greatest Common Divisor of 762, 106, 474, 466 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 709, 208, 438
• GCD of 850, 538, 713, 138
• GCD of 517, 746, 177, 814
• GCD of 525, 125, 739, 494
• GCD of 160, 524, 410, 988

Given numbers are 762, 106, 474, 466
The greatest common divisor of numbers 762, 106, 474, 466 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 106, 474, 466 is 2.

1. What is the GCD of 762, 106, 474, 466?

GCD of given numbers 762, 106, 474, 466 is 2

2. How to calculate the greatest common divisor of 762, 106, 474, 466?

We can find the highest common divisor of 762, 106, 474, 466 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, 106, 474, 466 i.e 2.

3. How can I use the GCD of 762, 106, 474, 466Calculator?

Out the numbers 762, 106, 474, 466 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.