GCD of 971, 507, 134, 984 Calculator

Given Input numbers are 971, 507, 134, 984

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

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (971, 507, 134, 984) = 1.

Given numbers are 971, 507, 134, 984

The list of prime factors of all numbers are

Prime factors of 971 are 971

Prime factors of 507 are 3 x 13 x 13

Prime factors of 134 are 2 x 67

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

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

Given numbers are 971, 507, 134, 984

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

Apply this formula for all numbers.

Step1:

LCM(971, 507) = 492297

GCD(971, 507) = ( 971 x 507 ) / 492297

= 971 / 507

= 971

Step2:

LCM(1, 134) = 134

GCD(1, 134) = ( 1 x 134 ) / 134

= 1 / 134

= 1

Step3:

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

= 1 / 984

= 1

So, Greatest Common Divisor of 971, 507, 134, 984 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 459, 629, 451, 262
• GCD of 519, 866, 210, 947
• GCD of 220, 342, 724, 732
• GCD of 737, 984, 765, 610
• GCD of 186, 508, 739, 710

Given numbers are 971, 507, 134, 984
The greatest common divisor of numbers 971, 507, 134, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 507, 134, 984 is 1.

1. What is the GCD of 971, 507, 134, 984?

GCD of given numbers 971, 507, 134, 984 is 1

2. How to calculate the greatest common divisor of 971, 507, 134, 984?

We can find the highest common divisor of 971, 507, 134, 984 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 971, 507, 134, 984 i.e 1.

3. How can I use the GCD of 971, 507, 134, 984Calculator?

Out the numbers 971, 507, 134, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.