GCD of 972, 505, 838, 749 Calculator

Given Input numbers are 972, 505, 838, 749

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

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 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (972, 505, 838, 749) = 1.

Given numbers are 972, 505, 838, 749

The list of prime factors of all numbers are

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

Prime factors of 505 are 5 x 101

Prime factors of 838 are 2 x 419

Prime factors of 749 are 7 x 107

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

Given numbers are 972, 505, 838, 749

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

Apply this formula for all numbers.

Step1:

LCM(972, 505) = 490860

GCD(972, 505) = ( 972 x 505 ) / 490860

= 972 / 505

= 972

Step2:

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

= 1 / 838

= 1

Step3:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

So, Greatest Common Divisor of 972, 505, 838, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 695, 961, 831, 526
• GCD of 607, 395, 821, 403
• GCD of 351, 666, 505, 919
• GCD of 926, 699, 904, 437
• GCD of 856, 234, 670, 579

Given numbers are 972, 505, 838, 749
The greatest common divisor of numbers 972, 505, 838, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 505, 838, 749 is 1.

1. What is the GCD of 972, 505, 838, 749?

GCD of given numbers 972, 505, 838, 749 is 1

2. How to calculate the greatest common divisor of 972, 505, 838, 749?

We can find the highest common divisor of 972, 505, 838, 749 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 972, 505, 838, 749 i.e 1.

3. How can I use the GCD of 972, 505, 838, 749Calculator?

Out the numbers 972, 505, 838, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.