GCD of 532, 508, 414, 971 Calculator

Given Input numbers are 532, 508, 414, 971

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

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 508 :

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

1, 2, 4, 127, 254, 508

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 971 :

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

1, 971

GCD of numbers is the greatest common divisor

So, the GCD (532, 508, 414, 971) = 1.

Given numbers are 532, 508, 414, 971

The list of prime factors of all numbers are

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 508 are 2 x 2 x 127

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 971 are 971

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

Given numbers are 532, 508, 414, 971

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

Apply this formula for all numbers.

Step1:

LCM(532, 508) = 67564

GCD(532, 508) = ( 532 x 508 ) / 67564

= 532 / 508

= 532

Step2:

LCM(4, 414) = 828

GCD(4, 414) = ( 4 x 414 ) / 828

= 4 / 414

= 4

Step3:

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

= 2 / 971

= 2

So, Greatest Common Divisor of 532, 508, 414, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 756, 186, 475, 404
• GCD of 409, 184, 352, 789
• GCD of 764, 517, 861, 315
• GCD of 632, 645, 806, 695
• GCD of 376, 729, 605, 620

Given numbers are 532, 508, 414, 971
The greatest common divisor of numbers 532, 508, 414, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 532, 508, 414, 971 is 1.

1. What is the GCD of 532, 508, 414, 971?

GCD of given numbers 532, 508, 414, 971 is 1

2. How to calculate the greatest common divisor of 532, 508, 414, 971?

We can find the highest common divisor of 532, 508, 414, 971 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 532, 508, 414, 971 i.e 1.

3. How can I use the GCD of 532, 508, 414, 971Calculator?

Out the numbers 532, 508, 414, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.