GCD of 747, 939, 414, 689 Calculator

Given Input numbers are 747, 939, 414, 689

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

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 939 :

The positive integer divisors of 939 that completely divides 939 are.

1, 3, 313, 939

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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 (747, 939, 414, 689) = 1.

Given numbers are 747, 939, 414, 689

The list of prime factors of all numbers are

Prime factors of 747 are 3 x 3 x 83

Prime factors of 939 are 3 x 313

Prime factors of 414 are 2 x 3 x 3 x 23

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 747, 939, 414, 689

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

Apply this formula for all numbers.

Step1:

LCM(747, 939) = 233811

GCD(747, 939) = ( 747 x 939 ) / 233811

= 747 / 939

= 747

Step2:

LCM(3, 414) = 414

GCD(3, 414) = ( 3 x 414 ) / 414

= 3 / 414

= 3

Step3:

LCM(3, 689) = 2067

GCD(3, 689) = ( 3 x 689 ) / 2067

= 3 / 689

= 3

So, Greatest Common Divisor of 747, 939, 414, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 161, 108, 561, 972
• GCD of 910, 866, 349, 934
• GCD of 163, 970, 221, 570
• GCD of 411, 346, 163, 955
• GCD of 360, 493, 682, 848

Given numbers are 747, 939, 414, 689
The greatest common divisor of numbers 747, 939, 414, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 939, 414, 689 is 1.

1. What is the GCD of 747, 939, 414, 689?

GCD of given numbers 747, 939, 414, 689 is 1

2. How to calculate the greatest common divisor of 747, 939, 414, 689?

We can find the highest common divisor of 747, 939, 414, 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 747, 939, 414, 689 i.e 1.

3. How can I use the GCD of 747, 939, 414, 689Calculator?

Out the numbers 747, 939, 414, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.