GCD of 670, 876, 728, 506 Calculator

Given Input numbers are 670, 876, 728, 506

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

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 506 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (670, 876, 728, 506) = 2.

Given numbers are 670, 876, 728, 506

The list of prime factors of all numbers are

Prime factors of 670 are 2 x 5 x 67

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 506 are 2 x 11 x 23

The highest common occurrence is 2¹

Therefore, GCD of 670, 876, 728, 506 is 2.

Given numbers are 670, 876, 728, 506

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

Apply this formula for all numbers.

Step1:

LCM(670, 876) = 293460

GCD(670, 876) = ( 670 x 876 ) / 293460

= 670 / 876

= 670

Step2:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

Step3:

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

= 2 / 506

= 2

So, Greatest Common Divisor of 670, 876, 728, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 782, 164, 777
• GCD of 920, 307, 700, 640
• GCD of 606, 245, 715, 828
• GCD of 944, 578, 948, 571
• GCD of 988, 616, 184, 212

Given numbers are 670, 876, 728, 506
The greatest common divisor of numbers 670, 876, 728, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 670, 876, 728, 506 is 2.

1. What is the GCD of 670, 876, 728, 506?

GCD of given numbers 670, 876, 728, 506 is 2

2. How to calculate the greatest common divisor of 670, 876, 728, 506?

We can find the highest common divisor of 670, 876, 728, 506 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 670, 876, 728, 506 i.e 2.

3. How can I use the GCD of 670, 876, 728, 506Calculator?

Out the numbers 670, 876, 728, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.