GCD of 207, 758, 120, 689 Calculator

Given Input numbers are 207, 758, 120, 689

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

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (207, 758, 120, 689) = 1.

Given numbers are 207, 758, 120, 689

The list of prime factors of all numbers are

Prime factors of 207 are 3 x 3 x 23

Prime factors of 758 are 2 x 379

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 689 are 13 x 53

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

Given numbers are 207, 758, 120, 689

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

Apply this formula for all numbers.

Step1:

LCM(207, 758) = 156906

GCD(207, 758) = ( 207 x 758 ) / 156906

= 207 / 758

= 207

Step2:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 207, 758, 120, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 272, 798, 498
• GCD of 962, 130, 750, 465
• GCD of 954, 410, 491, 315
• GCD of 889, 719, 618, 173
• GCD of 712, 993, 219, 349

Given numbers are 207, 758, 120, 689
The greatest common divisor of numbers 207, 758, 120, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 207, 758, 120, 689 is 1.

1. What is the GCD of 207, 758, 120, 689?

GCD of given numbers 207, 758, 120, 689 is 1

2. How to calculate the greatest common divisor of 207, 758, 120, 689?

We can find the highest common divisor of 207, 758, 120, 689 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 207, 758, 120, 689 i.e 1.

3. How can I use the GCD of 207, 758, 120, 689Calculator?

Out the numbers 207, 758, 120, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.