GCD of 357, 234, 768, 989 Calculator

Given Input numbers are 357, 234, 768, 989

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

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 (357, 234, 768, 989) = 1.

Given numbers are 357, 234, 768, 989

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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 357, 234, 768, 989

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

Apply this formula for all numbers.

Step1:

LCM(357, 234) = 27846

GCD(357, 234) = ( 357 x 234 ) / 27846

= 357 / 234

= 357

Step2:

LCM(3, 768) = 768

GCD(3, 768) = ( 3 x 768 ) / 768

= 3 / 768

= 3

Step3:

LCM(3, 989) = 2967

GCD(3, 989) = ( 3 x 989 ) / 2967

= 3 / 989

= 3

So, Greatest Common Divisor of 357, 234, 768, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 991, 547, 896
• GCD of 507, 153, 105, 325
• GCD of 888, 642, 861, 962
• GCD of 237, 488, 915, 726
• GCD of 568, 578, 413, 584

Given numbers are 357, 234, 768, 989
The greatest common divisor of numbers 357, 234, 768, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 234, 768, 989 is 1.

1. What is the GCD of 357, 234, 768, 989?

GCD of given numbers 357, 234, 768, 989 is 1

2. How to calculate the greatest common divisor of 357, 234, 768, 989?

We can find the highest common divisor of 357, 234, 768, 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 357, 234, 768, 989 i.e 1.

3. How can I use the GCD of 357, 234, 768, 989Calculator?

Out the numbers 357, 234, 768, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.