GCD of 137, 699, 714, 459 Calculator

Given Input numbers are 137, 699, 714, 459

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

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

GCD of numbers is the greatest common divisor

So, the GCD (137, 699, 714, 459) = 1.

Given numbers are 137, 699, 714, 459

The list of prime factors of all numbers are

Prime factors of 137 are 137

Prime factors of 699 are 3 x 233

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 459 are 3 x 3 x 3 x 17

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

Given numbers are 137, 699, 714, 459

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

Apply this formula for all numbers.

Step1:

LCM(137, 699) = 95763

GCD(137, 699) = ( 137 x 699 ) / 95763

= 137 / 699

= 137

Step2:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1

Step3:

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

= 1 / 459

= 1

So, Greatest Common Divisor of 137, 699, 714, 459 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 289, 261, 125, 972
• GCD of 610, 532, 890, 262
• GCD of 999, 702, 763, 958
• GCD of 790, 942, 230, 989
• GCD of 263, 679, 761, 651

Given numbers are 137, 699, 714, 459
The greatest common divisor of numbers 137, 699, 714, 459 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 699, 714, 459 is 1.

1. What is the GCD of 137, 699, 714, 459?

GCD of given numbers 137, 699, 714, 459 is 1

2. How to calculate the greatest common divisor of 137, 699, 714, 459?

We can find the highest common divisor of 137, 699, 714, 459 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 137, 699, 714, 459 i.e 1.

3. How can I use the GCD of 137, 699, 714, 459Calculator?

Out the numbers 137, 699, 714, 459 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.