GCD of 981, 959, 567, 414 Calculator

Given Input numbers are 981, 959, 567, 414

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

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 959 :

The positive integer divisors of 959 that completely divides 959 are.

1, 7, 137, 959

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

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

GCD of numbers is the greatest common divisor

So, the GCD (981, 959, 567, 414) = 1.

Given numbers are 981, 959, 567, 414

The list of prime factors of all numbers are

Prime factors of 981 are 3 x 3 x 109

Prime factors of 959 are 7 x 137

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

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

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

Given numbers are 981, 959, 567, 414

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

Apply this formula for all numbers.

Step1:

LCM(981, 959) = 940779

GCD(981, 959) = ( 981 x 959 ) / 940779

= 981 / 959

= 981

Step2:

LCM(1, 567) = 567

GCD(1, 567) = ( 1 x 567 ) / 567

= 1 / 567

= 1

Step3:

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

= 1 / 414

= 1

So, Greatest Common Divisor of 981, 959, 567, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 921, 713, 436, 389
• GCD of 427, 710, 898, 975
• GCD of 390, 953, 878, 969
• GCD of 325, 777, 206, 184
• GCD of 804, 712, 443, 156

Given numbers are 981, 959, 567, 414
The greatest common divisor of numbers 981, 959, 567, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 959, 567, 414 is 1.

1. What is the GCD of 981, 959, 567, 414?

GCD of given numbers 981, 959, 567, 414 is 1

2. How to calculate the greatest common divisor of 981, 959, 567, 414?

We can find the highest common divisor of 981, 959, 567, 414 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 981, 959, 567, 414 i.e 1.

3. How can I use the GCD of 981, 959, 567, 414Calculator?

Out the numbers 981, 959, 567, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.