GCD of 782, 156, 704, 450 Calculator

Given Input numbers are 782, 156, 704, 450

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 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

GCD of numbers is the greatest common divisor

So, the GCD (782, 156, 704, 450) = 2.

Given numbers are 782, 156, 704, 450

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 782, 156, 704, 450 is 2.

Given numbers are 782, 156, 704, 450

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

Apply this formula for all numbers.

Step1:

LCM(782, 156) = 60996

GCD(782, 156) = ( 782 x 156 ) / 60996

= 782 / 156

= 782

Step2:

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

= 2 / 704

= 2

Step3:

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

= 2 / 450

= 2

So, Greatest Common Divisor of 782, 156, 704, 450 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 357, 992, 491
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Given numbers are 782, 156, 704, 450
The greatest common divisor of numbers 782, 156, 704, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 156, 704, 450 is 2.

1. What is the GCD of 782, 156, 704, 450?

GCD of given numbers 782, 156, 704, 450 is 2

2. How to calculate the greatest common divisor of 782, 156, 704, 450?

We can find the highest common divisor of 782, 156, 704, 450 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, 156, 704, 450 i.e 2.

3. How can I use the GCD of 782, 156, 704, 450Calculator?

Out the numbers 782, 156, 704, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.