GCD of 782, 664, 757, 900 Calculator

Given Input numbers are 782, 664, 757, 900

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 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 757 :

The positive integer divisors of 757 that completely divides 757 are.

1, 757

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (782, 664, 757, 900) = 1.

Given numbers are 782, 664, 757, 900

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 757 are 757

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Given numbers are 782, 664, 757, 900

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

Apply this formula for all numbers.

Step1:

LCM(782, 664) = 259624

GCD(782, 664) = ( 782 x 664 ) / 259624

= 782 / 664

= 782

Step2:

LCM(2, 757) = 1514

GCD(2, 757) = ( 2 x 757 ) / 1514

= 2 / 757

= 2

Step3:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

So, Greatest Common Divisor of 782, 664, 757, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 283, 772, 835
• GCD of 888, 511, 151, 775
• GCD of 722, 355, 157, 960
• GCD of 392, 400, 527, 241
• GCD of 777, 208, 561, 163

Given numbers are 782, 664, 757, 900
The greatest common divisor of numbers 782, 664, 757, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 664, 757, 900 is 1.

1. What is the GCD of 782, 664, 757, 900?

GCD of given numbers 782, 664, 757, 900 is 1

2. How to calculate the greatest common divisor of 782, 664, 757, 900?

We can find the highest common divisor of 782, 664, 757, 900 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, 664, 757, 900 i.e 1.

3. How can I use the GCD of 782, 664, 757, 900Calculator?

Out the numbers 782, 664, 757, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.