GCD of 782, 526, 16, 965 Calculator

Given Input numbers are 782, 526, 16, 965

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 526 :

The positive integer divisors of 526 that completely divides 526 are.

1, 2, 263, 526

Divisors of 16 :

The positive integer divisors of 16 that completely divides 16 are.

1, 2, 4, 8, 16

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

GCD of numbers is the greatest common divisor

So, the GCD (782, 526, 16, 965) = 1.

Given numbers are 782, 526, 16, 965

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 526 are 2 x 263

Prime factors of 16 are 2 x 2 x 2 x 2

Prime factors of 965 are 5 x 193

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

Given numbers are 782, 526, 16, 965

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

Apply this formula for all numbers.

Step1:

LCM(782, 526) = 205666

GCD(782, 526) = ( 782 x 526 ) / 205666

= 782 / 526

= 782

Step2:

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

= 2 / 16

= 2

Step3:

LCM(2, 965) = 1930

GCD(2, 965) = ( 2 x 965 ) / 1930

= 2 / 965

= 2

So, Greatest Common Divisor of 782, 526, 16, 965 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 955, 86, 597
• GCD of 328, 387, 65, 424
• GCD of 929, 958, 30, 325
• GCD of 171, 486, 55, 461
• GCD of 684, 875, 95, 419

Given numbers are 782, 526, 16, 965
The greatest common divisor of numbers 782, 526, 16, 965 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 526, 16, 965 is 1.

1. What is the GCD of 782, 526, 16, 965?

GCD of given numbers 782, 526, 16, 965 is 1

2. How to calculate the greatest common divisor of 782, 526, 16, 965?

We can find the highest common divisor of 782, 526, 16, 965 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 782, 526, 16, 965 i.e 1.

3. How can I use the GCD of 782, 526, 16, 965Calculator?

Out the numbers 782, 526, 16, 965 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.