GCD of 768, 840, 710, 462 Calculator

Given Input numbers are 768, 840, 710, 462

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

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 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD of numbers is the greatest common divisor

So, the GCD (768, 840, 710, 462) = 2.

Given numbers are 768, 840, 710, 462

The list of prime factors of all numbers are

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Prime factors of 710 are 2 x 5 x 71

Prime factors of 462 are 2 x 3 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 768, 840, 710, 462 is 2.

Given numbers are 768, 840, 710, 462

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

Apply this formula for all numbers.

Step1:

LCM(768, 840) = 26880

GCD(768, 840) = ( 768 x 840 ) / 26880

= 768 / 840

= 768

Step2:

LCM(24, 710) = 8520

GCD(24, 710) = ( 24 x 710 ) / 8520

= 24 / 710

= 24

Step3:

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

= 2 / 462

= 2

So, Greatest Common Divisor of 768, 840, 710, 462 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 811, 287, 548, 292
• GCD of 667, 694, 985, 567
• GCD of 157, 451, 922, 391
• GCD of 676, 797, 676, 708
• GCD of 347, 762, 704, 470

Given numbers are 768, 840, 710, 462
The greatest common divisor of numbers 768, 840, 710, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 840, 710, 462 is 2.

1. What is the GCD of 768, 840, 710, 462?

GCD of given numbers 768, 840, 710, 462 is 2

2. How to calculate the greatest common divisor of 768, 840, 710, 462?

We can find the highest common divisor of 768, 840, 710, 462 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 768, 840, 710, 462 i.e 2.

3. How can I use the GCD of 768, 840, 710, 462Calculator?

Out the numbers 768, 840, 710, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.