GCD of 849, 735, 81, 742 Calculator

Given Input numbers are 849, 735, 81, 742

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

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 81 :

The positive integer divisors of 81 that completely divides 81 are.

1, 3, 9, 27, 81

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 (849, 735, 81, 742) = 1.

Given numbers are 849, 735, 81, 742

The list of prime factors of all numbers are

Prime factors of 849 are 3 x 283

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 81 are 3 x 3 x 3 x 3

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 849, 735, 81, 742

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

Apply this formula for all numbers.

Step1:

LCM(849, 735) = 208005

GCD(849, 735) = ( 849 x 735 ) / 208005

= 849 / 735

= 849

Step2:

LCM(3, 81) = 81

GCD(3, 81) = ( 3 x 81 ) / 81

= 3 / 81

= 3

Step3:

LCM(3, 742) = 2226

GCD(3, 742) = ( 3 x 742 ) / 2226

= 3 / 742

= 3

So, Greatest Common Divisor of 849, 735, 81, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 128, 90, 692
• GCD of 339, 462, 73, 274
• GCD of 399, 530, 14, 136
• GCD of 674, 245, 82, 460
• GCD of 284, 494, 24, 372

Given numbers are 849, 735, 81, 742
The greatest common divisor of numbers 849, 735, 81, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 735, 81, 742 is 1.

1. What is the GCD of 849, 735, 81, 742?

GCD of given numbers 849, 735, 81, 742 is 1

2. How to calculate the greatest common divisor of 849, 735, 81, 742?

We can find the highest common divisor of 849, 735, 81, 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 849, 735, 81, 742 i.e 1.

3. How can I use the GCD of 849, 735, 81, 742Calculator?

Out the numbers 849, 735, 81, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.