GCD of 735, 252, 230, 996 Calculator

Given Input numbers are 735, 252, 230, 996

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 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (735, 252, 230, 996) = 1.

Given numbers are 735, 252, 230, 996

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 230 are 2 x 5 x 23

Prime factors of 996 are 2 x 2 x 3 x 83

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

Given numbers are 735, 252, 230, 996

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, 230) = 4830

GCD(21, 230) = ( 21 x 230 ) / 4830

= 21 / 230

= 21

Step3:

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

= 1 / 996

= 1

So, Greatest Common Divisor of 735, 252, 230, 996 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 773, 938, 566, 788
• GCD of 385, 970, 158, 588
• GCD of 749, 196, 653, 647
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Given numbers are 735, 252, 230, 996
The greatest common divisor of numbers 735, 252, 230, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 252, 230, 996 is 1.

1. What is the GCD of 735, 252, 230, 996?

GCD of given numbers 735, 252, 230, 996 is 1

2. How to calculate the greatest common divisor of 735, 252, 230, 996?

We can find the highest common divisor of 735, 252, 230, 996 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, 230, 996 i.e 1.

3. How can I use the GCD of 735, 252, 230, 996Calculator?

Out the numbers 735, 252, 230, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.