GCD of 614, 729, 972, 938 Calculator

Given Input numbers are 614, 729, 972, 938

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

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

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 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

GCD of numbers is the greatest common divisor

So, the GCD (614, 729, 972, 938) = 1.

Given numbers are 614, 729, 972, 938

The list of prime factors of all numbers are

Prime factors of 614 are 2 x 307

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

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

Prime factors of 938 are 2 x 7 x 67

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

Given numbers are 614, 729, 972, 938

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

Apply this formula for all numbers.

Step1:

LCM(614, 729) = 447606

GCD(614, 729) = ( 614 x 729 ) / 447606

= 614 / 729

= 614

Step2:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

Step3:

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

= 1 / 938

= 1

So, Greatest Common Divisor of 614, 729, 972, 938 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 525, 959, 401, 654
• GCD of 183, 796, 604, 252
• GCD of 921, 883, 293, 315
• GCD of 734, 398, 547, 967
• GCD of 262, 779, 898, 231

Given numbers are 614, 729, 972, 938
The greatest common divisor of numbers 614, 729, 972, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 614, 729, 972, 938 is 1.

1. What is the GCD of 614, 729, 972, 938?

GCD of given numbers 614, 729, 972, 938 is 1

2. How to calculate the greatest common divisor of 614, 729, 972, 938?

We can find the highest common divisor of 614, 729, 972, 938 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 614, 729, 972, 938 i.e 1.

3. How can I use the GCD of 614, 729, 972, 938Calculator?

Out the numbers 614, 729, 972, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.