GCD of 828, 916, 897, 742 Calculator

Given Input numbers are 828, 916, 897, 742

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (828, 916, 897, 742) = 1.

Given numbers are 828, 916, 897, 742

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 916 are 2 x 2 x 229

Prime factors of 897 are 3 x 13 x 23

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 828, 916, 897, 742

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

Apply this formula for all numbers.

Step1:

LCM(828, 916) = 189612

GCD(828, 916) = ( 828 x 916 ) / 189612

= 828 / 916

= 828

Step2:

LCM(4, 897) = 3588

GCD(4, 897) = ( 4 x 897 ) / 3588

= 4 / 897

= 4

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 828, 916, 897, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 604, 695, 674
• GCD of 604, 959, 932, 326
• GCD of 499, 738, 688, 387
• GCD of 151, 843, 356, 733
• GCD of 926, 823, 869, 369

Given numbers are 828, 916, 897, 742
The greatest common divisor of numbers 828, 916, 897, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 916, 897, 742 is 1.

1. What is the GCD of 828, 916, 897, 742?

GCD of given numbers 828, 916, 897, 742 is 1

2. How to calculate the greatest common divisor of 828, 916, 897, 742?

We can find the highest common divisor of 828, 916, 897, 742 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 828, 916, 897, 742 i.e 1.

3. How can I use the GCD of 828, 916, 897, 742Calculator?

Out the numbers 828, 916, 897, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.