GCD of 508, 820, 921, 947 Calculator

Given Input numbers are 508, 820, 921, 947

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

Divisors of 508 :

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

1, 2, 4, 127, 254, 508

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 947 :

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

1, 947

GCD of numbers is the greatest common divisor

So, the GCD (508, 820, 921, 947) = 1.

Given numbers are 508, 820, 921, 947

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 921 are 3 x 307

Prime factors of 947 are 947

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

Given numbers are 508, 820, 921, 947

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

Apply this formula for all numbers.

Step1:

LCM(508, 820) = 104140

GCD(508, 820) = ( 508 x 820 ) / 104140

= 508 / 820

= 508

Step2:

LCM(4, 921) = 3684

GCD(4, 921) = ( 4 x 921 ) / 3684

= 4 / 921

= 4

Step3:

LCM(1, 947) = 947

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

= 1 / 947

= 1

So, Greatest Common Divisor of 508, 820, 921, 947 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 109, 698, 476
• GCD of 156, 387, 240, 275
• GCD of 584, 466, 297, 618
• GCD of 951, 143, 985, 825
• GCD of 195, 911, 552, 118

Given numbers are 508, 820, 921, 947
The greatest common divisor of numbers 508, 820, 921, 947 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 820, 921, 947 is 1.

1. What is the GCD of 508, 820, 921, 947?

GCD of given numbers 508, 820, 921, 947 is 1

2. How to calculate the greatest common divisor of 508, 820, 921, 947?

We can find the highest common divisor of 508, 820, 921, 947 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 508, 820, 921, 947 i.e 1.

3. How can I use the GCD of 508, 820, 921, 947Calculator?

Out the numbers 508, 820, 921, 947 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.