GCD of 470, 892, 780, 200 Calculator

Given Input numbers are 470, 892, 780, 200

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

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD of numbers is the greatest common divisor

So, the GCD (470, 892, 780, 200) = 2.

Given numbers are 470, 892, 780, 200

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 892 are 2 x 2 x 223

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 470, 892, 780, 200 is 2.

Given numbers are 470, 892, 780, 200

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

Apply this formula for all numbers.

Step1:

LCM(470, 892) = 209620

GCD(470, 892) = ( 470 x 892 ) / 209620

= 470 / 892

= 470

Step2:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2

Step3:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2

So, Greatest Common Divisor of 470, 892, 780, 200 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 903, 578, 935, 947
• GCD of 995, 787, 663, 381
• GCD of 235, 235, 285, 757
• GCD of 407, 233, 465, 410
• GCD of 447, 229, 273, 788

Given numbers are 470, 892, 780, 200
The greatest common divisor of numbers 470, 892, 780, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 892, 780, 200 is 2.

1. What is the GCD of 470, 892, 780, 200?

GCD of given numbers 470, 892, 780, 200 is 2

2. How to calculate the greatest common divisor of 470, 892, 780, 200?

We can find the highest common divisor of 470, 892, 780, 200 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 470, 892, 780, 200 i.e 2.

3. How can I use the GCD of 470, 892, 780, 200Calculator?

Out the numbers 470, 892, 780, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.