GCD of 400, 508, 839, 942 Calculator

Given Input numbers are 400, 508, 839, 942

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 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 839 :

The positive integer divisors of 839 that completely divides 839 are.

1, 839

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

GCD of numbers is the greatest common divisor

So, the GCD (400, 508, 839, 942) = 1.

Given numbers are 400, 508, 839, 942

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 508 are 2 x 2 x 127

Prime factors of 839 are 839

Prime factors of 942 are 2 x 3 x 157

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

Given numbers are 400, 508, 839, 942

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

Apply this formula for all numbers.

Step1:

LCM(400, 508) = 50800

GCD(400, 508) = ( 400 x 508 ) / 50800

= 400 / 508

= 400

Step2:

LCM(4, 839) = 3356

GCD(4, 839) = ( 4 x 839 ) / 3356

= 4 / 839

= 4

Step3:

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

= 1 / 942

= 1

So, Greatest Common Divisor of 400, 508, 839, 942 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 670, 135, 308, 279
• GCD of 525, 538, 249, 686
• GCD of 900, 116, 665, 377
• GCD of 574, 368, 120, 496
• GCD of 500, 257, 419, 941

Given numbers are 400, 508, 839, 942
The greatest common divisor of numbers 400, 508, 839, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 508, 839, 942 is 1.

1. What is the GCD of 400, 508, 839, 942?

GCD of given numbers 400, 508, 839, 942 is 1

2. How to calculate the greatest common divisor of 400, 508, 839, 942?

We can find the highest common divisor of 400, 508, 839, 942 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, 508, 839, 942 i.e 1.

3. How can I use the GCD of 400, 508, 839, 942Calculator?

Out the numbers 400, 508, 839, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.