GCD of 162, 762, 378 Calculator

Given Input numbers are 162, 762, 378

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

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 762 :

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

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (162, 762, 378) = 6.

Given numbers are 162, 762, 378

The list of prime factors of all numbers are

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 762 are 2 x 3 x 127

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 162, 762, 378 is 6.

Given numbers are 162, 762, 378

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

Apply this formula for all numbers.

Step1:

LCM(162, 762) = 20574

GCD(162, 762) = ( 162 x 762 ) / 20574

= 162 / 762

= 162

Step2:

LCM(6, 378) = 378

GCD(6, 378) = ( 6 x 378 ) / 378

= 6 / 378

= 6

So, Greatest Common Divisor of 162, 762, 378 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 253, 766, 489
• GCD of 829, 881, 567
• GCD of 833, 688, 781
• GCD of 209, 600, 331
• GCD of 512, 280, 325

Given numbers are 162, 762, 378
The greatest common divisor of numbers 162, 762, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 762, 378 is 6.

1. What is the GCD of 162, 762, 378?

GCD of given numbers 162, 762, 378 is 6

2. How to calculate the greatest common divisor of 162, 762, 378?

We can find the highest common divisor of 162, 762, 378 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 162, 762, 378 i.e 6.

3. How can I use the GCD of 162, 762, 378Calculator?

Out the numbers 162, 762, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.