GCD of 735, 531, 922, 355 Calculator

Given Input numbers are 735, 531, 922, 355

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 531 :

The positive integer divisors of 531 that completely divides 531 are.

1, 3, 9, 59, 177, 531

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

GCD of numbers is the greatest common divisor

So, the GCD (735, 531, 922, 355) = 1.

Given numbers are 735, 531, 922, 355

The list of prime factors of all numbers are

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

Prime factors of 531 are 3 x 3 x 59

Prime factors of 922 are 2 x 461

Prime factors of 355 are 5 x 71

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

Given numbers are 735, 531, 922, 355

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

Apply this formula for all numbers.

Step1:

LCM(735, 531) = 130095

GCD(735, 531) = ( 735 x 531 ) / 130095

= 735 / 531

= 735

Step2:

LCM(3, 922) = 2766

GCD(3, 922) = ( 3 x 922 ) / 2766

= 3 / 922

= 3

Step3:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1

So, Greatest Common Divisor of 735, 531, 922, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 559, 720, 236, 608
• GCD of 619, 492, 693, 505
• GCD of 755, 778, 810, 283
• GCD of 104, 849, 716, 893
• GCD of 276, 886, 831, 998

Given numbers are 735, 531, 922, 355
The greatest common divisor of numbers 735, 531, 922, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 531, 922, 355 is 1.

1. What is the GCD of 735, 531, 922, 355?

GCD of given numbers 735, 531, 922, 355 is 1

2. How to calculate the greatest common divisor of 735, 531, 922, 355?

We can find the highest common divisor of 735, 531, 922, 355 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, 531, 922, 355 i.e 1.

3. How can I use the GCD of 735, 531, 922, 355Calculator?

Out the numbers 735, 531, 922, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.