GCD of 429, 882, 972, 252 Calculator

Given Input numbers are 429, 882, 972, 252

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

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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 (429, 882, 972, 252) = 3.

Given numbers are 429, 882, 972, 252

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

The highest common occurrence is 3¹

Therefore, GCD of 429, 882, 972, 252 is 3.

Given numbers are 429, 882, 972, 252

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

Apply this formula for all numbers.

Step1:

LCM(429, 882) = 126126

GCD(429, 882) = ( 429 x 882 ) / 126126

= 429 / 882

= 429

Step2:

LCM(3, 972) = 972

GCD(3, 972) = ( 3 x 972 ) / 972

= 3 / 972

= 3

Step3:

LCM(3, 252) = 252

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

= 3 / 252

= 3

So, Greatest Common Divisor of 429, 882, 972, 252 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 776, 409, 384
• GCD of 764, 248, 980, 725
• GCD of 896, 292, 199, 267
• GCD of 861, 205, 327, 906
• GCD of 607, 910, 486, 831

Given numbers are 429, 882, 972, 252
The greatest common divisor of numbers 429, 882, 972, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 882, 972, 252 is 3.

1. What is the GCD of 429, 882, 972, 252?

GCD of given numbers 429, 882, 972, 252 is 3

2. How to calculate the greatest common divisor of 429, 882, 972, 252?

We can find the highest common divisor of 429, 882, 972, 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 429, 882, 972, 252 i.e 3.

3. How can I use the GCD of 429, 882, 972, 252Calculator?

Out the numbers 429, 882, 972, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.