GCD of 252, 741, 465, 951 Calculator

Given Input numbers are 252, 741, 465, 951

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

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 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 951 :

The positive integer divisors of 951 that completely divides 951 are.

1, 3, 317, 951

GCD of numbers is the greatest common divisor

So, the GCD (252, 741, 465, 951) = 3.

Given numbers are 252, 741, 465, 951

The list of prime factors of all numbers are

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

Prime factors of 741 are 3 x 13 x 19

Prime factors of 465 are 3 x 5 x 31

Prime factors of 951 are 3 x 317

The highest common occurrence is 3¹

Therefore, GCD of 252, 741, 465, 951 is 3.

Given numbers are 252, 741, 465, 951

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

Apply this formula for all numbers.

Step1:

LCM(252, 741) = 62244

GCD(252, 741) = ( 252 x 741 ) / 62244

= 252 / 741

= 252

Step2:

LCM(3, 465) = 465

GCD(3, 465) = ( 3 x 465 ) / 465

= 3 / 465

= 3

Step3:

LCM(3, 951) = 951

GCD(3, 951) = ( 3 x 951 ) / 951

= 3 / 951

= 3

So, Greatest Common Divisor of 252, 741, 465, 951 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 478, 325, 827
• GCD of 812, 666, 985, 193
• GCD of 656, 112, 860, 402
• GCD of 936, 231, 823, 594
• GCD of 854, 133, 400, 361

Given numbers are 252, 741, 465, 951
The greatest common divisor of numbers 252, 741, 465, 951 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 741, 465, 951 is 3.

1. What is the GCD of 252, 741, 465, 951?

GCD of given numbers 252, 741, 465, 951 is 3

2. How to calculate the greatest common divisor of 252, 741, 465, 951?

We can find the highest common divisor of 252, 741, 465, 951 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 252, 741, 465, 951 i.e 3.

3. How can I use the GCD of 252, 741, 465, 951Calculator?

Out the numbers 252, 741, 465, 951 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.