GCD of 840, 400, 375, 504 Calculator

Given Input numbers are 840, 400, 375, 504

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

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (840, 400, 375, 504) = 1.

Given numbers are 840, 400, 375, 504

The list of prime factors of all numbers are

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

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

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

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

Given numbers are 840, 400, 375, 504

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

Apply this formula for all numbers.

Step1:

LCM(840, 400) = 8400

GCD(840, 400) = ( 840 x 400 ) / 8400

= 840 / 400

= 840

Step2:

LCM(40, 375) = 3000

GCD(40, 375) = ( 40 x 375 ) / 3000

= 40 / 375

= 40

Step3:

LCM(5, 504) = 2520

GCD(5, 504) = ( 5 x 504 ) / 2520

= 5 / 504

= 5

So, Greatest Common Divisor of 840, 400, 375, 504 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 635, 787, 422, 648
• GCD of 177, 657, 799, 238
• GCD of 154, 561, 585, 782
• GCD of 281, 682, 808, 194
• GCD of 988, 982, 765, 937

Given numbers are 840, 400, 375, 504
The greatest common divisor of numbers 840, 400, 375, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 400, 375, 504 is 1.

1. What is the GCD of 840, 400, 375, 504?

GCD of given numbers 840, 400, 375, 504 is 1

2. How to calculate the greatest common divisor of 840, 400, 375, 504?

We can find the highest common divisor of 840, 400, 375, 504 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 840, 400, 375, 504 i.e 1.

3. How can I use the GCD of 840, 400, 375, 504Calculator?

Out the numbers 840, 400, 375, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.