GCD of 764, 214, 888, 989 Calculator

Given Input numbers are 764, 214, 888, 989

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

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

GCD of numbers is the greatest common divisor

So, the GCD (764, 214, 888, 989) = 1.

Given numbers are 764, 214, 888, 989

The list of prime factors of all numbers are

Prime factors of 764 are 2 x 2 x 191

Prime factors of 214 are 2 x 107

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

Prime factors of 989 are 23 x 43

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

Given numbers are 764, 214, 888, 989

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

Apply this formula for all numbers.

Step1:

LCM(764, 214) = 81748

GCD(764, 214) = ( 764 x 214 ) / 81748

= 764 / 214

= 764

Step2:

LCM(2, 888) = 888

GCD(2, 888) = ( 2 x 888 ) / 888

= 2 / 888

= 2

Step3:

LCM(2, 989) = 1978

GCD(2, 989) = ( 2 x 989 ) / 1978

= 2 / 989

= 2

So, Greatest Common Divisor of 764, 214, 888, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 248, 389, 133, 276
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• GCD of 881, 116, 858, 508

Given numbers are 764, 214, 888, 989
The greatest common divisor of numbers 764, 214, 888, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 214, 888, 989 is 1.

1. What is the GCD of 764, 214, 888, 989?

GCD of given numbers 764, 214, 888, 989 is 1

2. How to calculate the greatest common divisor of 764, 214, 888, 989?

We can find the highest common divisor of 764, 214, 888, 989 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 764, 214, 888, 989 i.e 1.

3. How can I use the GCD of 764, 214, 888, 989Calculator?

Out the numbers 764, 214, 888, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.