GCD of 422, 840, 72, 776 Calculator

Given Input numbers are 422, 840, 72, 776

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

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

GCD of numbers is the greatest common divisor

So, the GCD (422, 840, 72, 776) = 2.

Given numbers are 422, 840, 72, 776

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 776 are 2 x 2 x 2 x 97

The highest common occurrence is 2¹

Therefore, GCD of 422, 840, 72, 776 is 2.

Given numbers are 422, 840, 72, 776

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

Apply this formula for all numbers.

Step1:

LCM(422, 840) = 177240

GCD(422, 840) = ( 422 x 840 ) / 177240

= 422 / 840

= 422

Step2:

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

= 2 / 72

= 2

Step3:

LCM(2, 776) = 776

GCD(2, 776) = ( 2 x 776 ) / 776

= 2 / 776

= 2

So, Greatest Common Divisor of 422, 840, 72, 776 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 986, 560, 98, 788
• GCD of 502, 622, 92, 118
• GCD of 943, 346, 71, 254
• GCD of 418, 113, 13, 959
• GCD of 810, 964, 45, 172

Given numbers are 422, 840, 72, 776
The greatest common divisor of numbers 422, 840, 72, 776 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 840, 72, 776 is 2.

1. What is the GCD of 422, 840, 72, 776?

GCD of given numbers 422, 840, 72, 776 is 2

2. How to calculate the greatest common divisor of 422, 840, 72, 776?

We can find the highest common divisor of 422, 840, 72, 776 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 422, 840, 72, 776 i.e 2.

3. How can I use the GCD of 422, 840, 72, 776Calculator?

Out the numbers 422, 840, 72, 776 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.