GCD of 969, 380, 561, 984 Calculator

Given Input numbers are 969, 380, 561, 984

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

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 (969, 380, 561, 984) = 1.

Given numbers are 969, 380, 561, 984

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 561 are 3 x 11 x 17

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 969, 380, 561, 984

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

Apply this formula for all numbers.

Step1:

LCM(969, 380) = 19380

GCD(969, 380) = ( 969 x 380 ) / 19380

= 969 / 380

= 969

Step2:

LCM(19, 561) = 10659

GCD(19, 561) = ( 19 x 561 ) / 10659

= 19 / 561

= 19

Step3:

LCM(1, 984) = 984

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

= 1 / 984

= 1

So, Greatest Common Divisor of 969, 380, 561, 984 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 158, 941, 199
• GCD of 464, 669, 463, 738
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• GCD of 542, 639, 214, 799

Given numbers are 969, 380, 561, 984
The greatest common divisor of numbers 969, 380, 561, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 380, 561, 984 is 1.

1. What is the GCD of 969, 380, 561, 984?

GCD of given numbers 969, 380, 561, 984 is 1

2. How to calculate the greatest common divisor of 969, 380, 561, 984?

We can find the highest common divisor of 969, 380, 561, 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 969, 380, 561, 984 i.e 1.

3. How can I use the GCD of 969, 380, 561, 984Calculator?

Out the numbers 969, 380, 561, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.