GCD of 764, 356, 506, 434 Calculator

Given Input numbers are 764, 356, 506, 434

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

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

GCD of numbers is the greatest common divisor

So, the GCD (764, 356, 506, 434) = 2.

Given numbers are 764, 356, 506, 434

The list of prime factors of all numbers are

Prime factors of 764 are 2 x 2 x 191

Prime factors of 356 are 2 x 2 x 89

Prime factors of 506 are 2 x 11 x 23

Prime factors of 434 are 2 x 7 x 31

The highest common occurrence is 2¹

Therefore, GCD of 764, 356, 506, 434 is 2.

Given numbers are 764, 356, 506, 434

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

Apply this formula for all numbers.

Step1:

LCM(764, 356) = 67996

GCD(764, 356) = ( 764 x 356 ) / 67996

= 764 / 356

= 764

Step2:

LCM(4, 506) = 1012

GCD(4, 506) = ( 4 x 506 ) / 1012

= 4 / 506

= 4

Step3:

LCM(2, 434) = 434

GCD(2, 434) = ( 2 x 434 ) / 434

= 2 / 434

= 2

So, Greatest Common Divisor of 764, 356, 506, 434 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 641, 311, 507
• GCD of 244, 448, 128, 345
• GCD of 863, 305, 671, 401
• GCD of 821, 765, 376, 574
• GCD of 317, 463, 517, 804

Given numbers are 764, 356, 506, 434
The greatest common divisor of numbers 764, 356, 506, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 356, 506, 434 is 2.

1. What is the GCD of 764, 356, 506, 434?

GCD of given numbers 764, 356, 506, 434 is 2

2. How to calculate the greatest common divisor of 764, 356, 506, 434?

We can find the highest common divisor of 764, 356, 506, 434 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 764, 356, 506, 434 i.e 2.

3. How can I use the GCD of 764, 356, 506, 434Calculator?

Out the numbers 764, 356, 506, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.