GCD of 736, 649, 506, 985 Calculator

Given Input numbers are 736, 649, 506, 985

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

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 506 :

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

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

Divisors of 985 :

The positive integer divisors of 985 that completely divides 985 are.

1, 5, 197, 985

GCD of numbers is the greatest common divisor

So, the GCD (736, 649, 506, 985) = 1.

Given numbers are 736, 649, 506, 985

The list of prime factors of all numbers are

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 649 are 11 x 59

Prime factors of 506 are 2 x 11 x 23

Prime factors of 985 are 5 x 197

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 736, 649, 506, 985

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

Apply this formula for all numbers.

Step1:

LCM(736, 649) = 477664

GCD(736, 649) = ( 736 x 649 ) / 477664

= 736 / 649

= 736

Step2:

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

= 1 / 506

= 1

Step3:

LCM(1, 985) = 985

GCD(1, 985) = ( 1 x 985 ) / 985

= 1 / 985

= 1

So, Greatest Common Divisor of 736, 649, 506, 985 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 444, 426, 451
• GCD of 393, 357, 753, 998
• GCD of 504, 374, 724, 667
• GCD of 400, 850, 241, 242
• GCD of 261, 428, 661, 917

Given numbers are 736, 649, 506, 985
The greatest common divisor of numbers 736, 649, 506, 985 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 649, 506, 985 is 1.

1. What is the GCD of 736, 649, 506, 985?

GCD of given numbers 736, 649, 506, 985 is 1

2. How to calculate the greatest common divisor of 736, 649, 506, 985?

We can find the highest common divisor of 736, 649, 506, 985 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 736, 649, 506, 985 i.e 1.

3. How can I use the GCD of 736, 649, 506, 985Calculator?

Out the numbers 736, 649, 506, 985 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.