GCD of 400, 875, 210, 782 Calculator

Given Input numbers are 400, 875, 210, 782

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 875 :

The positive integer divisors of 875 that completely divides 875 are.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 782 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (400, 875, 210, 782) = 1.

Given numbers are 400, 875, 210, 782

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 875 are 5 x 5 x 5 x 7

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 782 are 2 x 17 x 23

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

Given numbers are 400, 875, 210, 782

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

Apply this formula for all numbers.

Step1:

LCM(400, 875) = 14000

GCD(400, 875) = ( 400 x 875 ) / 14000

= 400 / 875

= 400

Step2:

LCM(25, 210) = 1050

GCD(25, 210) = ( 25 x 210 ) / 1050

= 25 / 210

= 25

Step3:

LCM(5, 782) = 3910

GCD(5, 782) = ( 5 x 782 ) / 3910

= 5 / 782

= 5

So, Greatest Common Divisor of 400, 875, 210, 782 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 109, 616, 168, 918
• GCD of 846, 820, 568, 949
• GCD of 226, 948, 953, 165
• GCD of 478, 776, 726, 587
• GCD of 525, 959, 883, 728

Given numbers are 400, 875, 210, 782
The greatest common divisor of numbers 400, 875, 210, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 875, 210, 782 is 1.

1. What is the GCD of 400, 875, 210, 782?

GCD of given numbers 400, 875, 210, 782 is 1

2. How to calculate the greatest common divisor of 400, 875, 210, 782?

We can find the highest common divisor of 400, 875, 210, 782 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 400, 875, 210, 782 i.e 1.

3. How can I use the GCD of 400, 875, 210, 782Calculator?

Out the numbers 400, 875, 210, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.