GCD of 509, 137, 947, 400 Calculator

Given Input numbers are 509, 137, 947, 400

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

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 947 :

The positive integer divisors of 947 that completely divides 947 are.

1, 947

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

GCD of numbers is the greatest common divisor

So, the GCD (509, 137, 947, 400) = 1.

Given numbers are 509, 137, 947, 400

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 137 are 137

Prime factors of 947 are 947

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

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

Given numbers are 509, 137, 947, 400

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

Apply this formula for all numbers.

Step1:

LCM(509, 137) = 69733

GCD(509, 137) = ( 509 x 137 ) / 69733

= 509 / 137

= 509

Step2:

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

= 1 / 947

= 1

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 509, 137, 947, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 622, 634, 812, 866
• GCD of 775, 949, 768, 269
• GCD of 375, 162, 852, 685
• GCD of 926, 857, 359, 443
• GCD of 511, 505, 589, 415

Given numbers are 509, 137, 947, 400
The greatest common divisor of numbers 509, 137, 947, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 137, 947, 400 is 1.

1. What is the GCD of 509, 137, 947, 400?

GCD of given numbers 509, 137, 947, 400 is 1

2. How to calculate the greatest common divisor of 509, 137, 947, 400?

We can find the highest common divisor of 509, 137, 947, 400 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 509, 137, 947, 400 i.e 1.

3. How can I use the GCD of 509, 137, 947, 400Calculator?

Out the numbers 509, 137, 947, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.