GCD of 735, 252, 533, 689 Calculator

Given Input numbers are 735, 252, 533, 689

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

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 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 533 :

The positive integer divisors of 533 that completely divides 533 are.

1, 13, 41, 533

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (735, 252, 533, 689) = 1.

Given numbers are 735, 252, 533, 689

The list of prime factors of all numbers are

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

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 533 are 13 x 41

Prime factors of 689 are 13 x 53

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

Given numbers are 735, 252, 533, 689

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

Apply this formula for all numbers.

Step1:

LCM(735, 252) = 8820

GCD(735, 252) = ( 735 x 252 ) / 8820

= 735 / 252

= 735

Step2:

LCM(21, 533) = 11193

GCD(21, 533) = ( 21 x 533 ) / 11193

= 21 / 533

= 21

Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 735, 252, 533, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 221, 322, 913
• GCD of 561, 249, 895, 716
• GCD of 236, 687, 480, 390
• GCD of 424, 749, 287, 315
• GCD of 839, 745, 555, 652

Given numbers are 735, 252, 533, 689
The greatest common divisor of numbers 735, 252, 533, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 252, 533, 689 is 1.

1. What is the GCD of 735, 252, 533, 689?

GCD of given numbers 735, 252, 533, 689 is 1

2. How to calculate the greatest common divisor of 735, 252, 533, 689?

We can find the highest common divisor of 735, 252, 533, 689 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 735, 252, 533, 689 i.e 1.

3. How can I use the GCD of 735, 252, 533, 689Calculator?

Out the numbers 735, 252, 533, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.