GCD of 252, 348, 105 Calculator

Given Input numbers are 252, 348, 105

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 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 105 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (252, 348, 105) = 3.

Given numbers are 252, 348, 105

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 348 are 2 x 2 x 3 x 29

Prime factors of 105 are 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 252, 348, 105 is 3.

Given numbers are 252, 348, 105

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

Apply this formula for all numbers.

Step1:

LCM(252, 348) = 7308

GCD(252, 348) = ( 252 x 348 ) / 7308

= 252 / 348

= 252

Step2:

LCM(12, 105) = 420

GCD(12, 105) = ( 12 x 105 ) / 420

= 12 / 105

= 12

So, Greatest Common Divisor of 252, 348, 105 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 394, 692, 805
• GCD of 854, 985, 986
• GCD of 495, 232, 930
• GCD of 782, 541, 397
• GCD of 189, 257, 293

Given numbers are 252, 348, 105
The greatest common divisor of numbers 252, 348, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 348, 105 is 3.

1. What is the GCD of 252, 348, 105?

GCD of given numbers 252, 348, 105 is 3

2. How to calculate the greatest common divisor of 252, 348, 105?

We can find the highest common divisor of 252, 348, 105 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, 348, 105 i.e 3.

3. How can I use the GCD of 252, 348, 105Calculator?

Out the numbers 252, 348, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.