GCD of 706, 687, 753, 120 Calculator

Given Input numbers are 706, 687, 753, 120

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

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

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

GCD of numbers is the greatest common divisor

So, the GCD (706, 687, 753, 120) = 1.

Given numbers are 706, 687, 753, 120

The list of prime factors of all numbers are

Prime factors of 706 are 2 x 353

Prime factors of 687 are 3 x 229

Prime factors of 753 are 3 x 251

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

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

Given numbers are 706, 687, 753, 120

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

Apply this formula for all numbers.

Step1:

LCM(706, 687) = 485022

GCD(706, 687) = ( 706 x 687 ) / 485022

= 706 / 687

= 706

Step2:

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

= 1 / 753

= 1

Step3:

LCM(1, 120) = 120

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

= 1 / 120

= 1

So, Greatest Common Divisor of 706, 687, 753, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 729, 970, 283, 662
• GCD of 916, 665, 949, 174
• GCD of 489, 324, 258, 365
• GCD of 983, 955, 483, 403
• GCD of 818, 592, 531, 743

Given numbers are 706, 687, 753, 120
The greatest common divisor of numbers 706, 687, 753, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 706, 687, 753, 120 is 1.

1. What is the GCD of 706, 687, 753, 120?

GCD of given numbers 706, 687, 753, 120 is 1

2. How to calculate the greatest common divisor of 706, 687, 753, 120?

We can find the highest common divisor of 706, 687, 753, 120 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 706, 687, 753, 120 i.e 1.

3. How can I use the GCD of 706, 687, 753, 120Calculator?

Out the numbers 706, 687, 753, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.