GCD of 709, 972, 678, 983 Calculator

Given Input numbers are 709, 972, 678, 983

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

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 983 :

The positive integer divisors of 983 that completely divides 983 are.

1, 983

GCD of numbers is the greatest common divisor

So, the GCD (709, 972, 678, 983) = 1.

Given numbers are 709, 972, 678, 983

The list of prime factors of all numbers are

Prime factors of 709 are 709

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 678 are 2 x 3 x 113

Prime factors of 983 are 983

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

Given numbers are 709, 972, 678, 983

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

Apply this formula for all numbers.

Step1:

LCM(709, 972) = 689148

GCD(709, 972) = ( 709 x 972 ) / 689148

= 709 / 972

= 709

Step2:

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

= 1 / 678

= 1

Step3:

LCM(1, 983) = 983

GCD(1, 983) = ( 1 x 983 ) / 983

= 1 / 983

= 1

So, Greatest Common Divisor of 709, 972, 678, 983 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 625, 598, 583, 114
• GCD of 277, 287, 670, 242
• GCD of 306, 747, 278, 804
• GCD of 843, 768, 229, 650
• GCD of 206, 438, 822, 203

Given numbers are 709, 972, 678, 983
The greatest common divisor of numbers 709, 972, 678, 983 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 709, 972, 678, 983 is 1.

1. What is the GCD of 709, 972, 678, 983?

GCD of given numbers 709, 972, 678, 983 is 1

2. How to calculate the greatest common divisor of 709, 972, 678, 983?

We can find the highest common divisor of 709, 972, 678, 983 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 709, 972, 678, 983 i.e 1.

3. How can I use the GCD of 709, 972, 678, 983Calculator?

Out the numbers 709, 972, 678, 983 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.