GCD of 105, 753, 252 Calculator

Given Input numbers are 105, 753, 252

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

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

GCD of numbers is the greatest common divisor

So, the GCD (105, 753, 252) = 3.

Given numbers are 105, 753, 252

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 753 are 3 x 251

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

The highest common occurrence is 3¹

Therefore, GCD of 105, 753, 252 is 3.

Given numbers are 105, 753, 252

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

Apply this formula for all numbers.

Step1:

LCM(105, 753) = 26355

GCD(105, 753) = ( 105 x 753 ) / 26355

= 105 / 753

= 105

Step2:

LCM(3, 252) = 252

GCD(3, 252) = ( 3 x 252 ) / 252

= 3 / 252

= 3

So, Greatest Common Divisor of 105, 753, 252 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 786, 321, 344
• GCD of 515, 916, 239
• GCD of 920, 218, 595
• GCD of 541, 459, 805
• GCD of 171, 989, 485

Given numbers are 105, 753, 252
The greatest common divisor of numbers 105, 753, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 753, 252 is 3.

1. What is the GCD of 105, 753, 252?

GCD of given numbers 105, 753, 252 is 3

2. How to calculate the greatest common divisor of 105, 753, 252?

We can find the highest common divisor of 105, 753, 252 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 105, 753, 252 i.e 3.

3. How can I use the GCD of 105, 753, 252Calculator?

Out the numbers 105, 753, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.