GCD of 782, 256, 100, 734 Calculator

Given Input numbers are 782, 256, 100, 734

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 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

GCD of numbers is the greatest common divisor

So, the GCD (782, 256, 100, 734) = 2.

Given numbers are 782, 256, 100, 734

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 734 are 2 x 367

The highest common occurrence is 2¹

Therefore, GCD of 782, 256, 100, 734 is 2.

Given numbers are 782, 256, 100, 734

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

Apply this formula for all numbers.

Step1:

LCM(782, 256) = 100096

GCD(782, 256) = ( 782 x 256 ) / 100096

= 782 / 256

= 782

Step2:

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

= 2 / 100

= 2

Step3:

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

= 2 / 734

= 2

So, Greatest Common Divisor of 782, 256, 100, 734 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 547, 589, 695, 575
• GCD of 950, 135, 440, 274
• GCD of 120, 746, 774, 919
• GCD of 336, 882, 454, 350
• GCD of 180, 890, 763, 933

Given numbers are 782, 256, 100, 734
The greatest common divisor of numbers 782, 256, 100, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 256, 100, 734 is 2.

1. What is the GCD of 782, 256, 100, 734?

GCD of given numbers 782, 256, 100, 734 is 2

2. How to calculate the greatest common divisor of 782, 256, 100, 734?

We can find the highest common divisor of 782, 256, 100, 734 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, 256, 100, 734 i.e 2.

3. How can I use the GCD of 782, 256, 100, 734Calculator?

Out the numbers 782, 256, 100, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.