GCD of 766, 432, 740, 684 Calculator

Given Input numbers are 766, 432, 740, 684

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

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (766, 432, 740, 684) = 2.

Given numbers are 766, 432, 740, 684

The list of prime factors of all numbers are

Prime factors of 766 are 2 x 383

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 766, 432, 740, 684 is 2.

Given numbers are 766, 432, 740, 684

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

Apply this formula for all numbers.

Step1:

LCM(766, 432) = 165456

GCD(766, 432) = ( 766 x 432 ) / 165456

= 766 / 432

= 766

Step2:

LCM(2, 740) = 740

GCD(2, 740) = ( 2 x 740 ) / 740

= 2 / 740

= 2

Step3:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2

So, Greatest Common Divisor of 766, 432, 740, 684 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 446, 917, 274, 525
• GCD of 484, 600, 653, 933
• GCD of 105, 642, 336, 905
• GCD of 110, 842, 199, 483
• GCD of 710, 275, 642, 380

Given numbers are 766, 432, 740, 684
The greatest common divisor of numbers 766, 432, 740, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 766, 432, 740, 684 is 2.

1. What is the GCD of 766, 432, 740, 684?

GCD of given numbers 766, 432, 740, 684 is 2

2. How to calculate the greatest common divisor of 766, 432, 740, 684?

We can find the highest common divisor of 766, 432, 740, 684 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 766, 432, 740, 684 i.e 2.

3. How can I use the GCD of 766, 432, 740, 684Calculator?

Out the numbers 766, 432, 740, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.