GCD of 423, 762, 60, 252 Calculator

Given Input numbers are 423, 762, 60, 252

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

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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 (423, 762, 60, 252) = 3.

Given numbers are 423, 762, 60, 252

The list of prime factors of all numbers are

Prime factors of 423 are 3 x 3 x 47

Prime factors of 762 are 2 x 3 x 127

Prime factors of 60 are 2 x 2 x 3 x 5

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

The highest common occurrence is 3¹

Therefore, GCD of 423, 762, 60, 252 is 3.

Given numbers are 423, 762, 60, 252

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

Apply this formula for all numbers.

Step1:

LCM(423, 762) = 107442

GCD(423, 762) = ( 423 x 762 ) / 107442

= 423 / 762

= 423

Step2:

LCM(3, 60) = 60

GCD(3, 60) = ( 3 x 60 ) / 60

= 3 / 60

= 3

Step3:

LCM(3, 252) = 252

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

= 3 / 252

= 3

So, Greatest Common Divisor of 423, 762, 60, 252 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 993, 396, 68, 100
• GCD of 901, 167, 60, 434
• GCD of 810, 381, 16, 414
• GCD of 843, 157, 99, 550
• GCD of 910, 352, 32, 357

Given numbers are 423, 762, 60, 252
The greatest common divisor of numbers 423, 762, 60, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 423, 762, 60, 252 is 3.

1. What is the GCD of 423, 762, 60, 252?

GCD of given numbers 423, 762, 60, 252 is 3

2. How to calculate the greatest common divisor of 423, 762, 60, 252?

We can find the highest common divisor of 423, 762, 60, 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 423, 762, 60, 252 i.e 3.

3. How can I use the GCD of 423, 762, 60, 252Calculator?

Out the numbers 423, 762, 60, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.