GCD of 672, 420, 105 Calculator

Given Input numbers are 672, 420, 105

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

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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 (672, 420, 105) = 21.

Given numbers are 672, 420, 105

The list of prime factors of all numbers are

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 105 are 3 x 5 x 7

The highest common occurrence is 3¹ x 7¹

Therefore, GCD of 672, 420, 105 is 21.

Given numbers are 672, 420, 105

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

Apply this formula for all numbers.

Step1:

LCM(672, 420) = 3360

GCD(672, 420) = ( 672 x 420 ) / 3360

= 672 / 420

= 672

Step2:

LCM(84, 105) = 420

GCD(84, 105) = ( 84 x 105 ) / 420

= 84 / 105

= 84

So, Greatest Common Divisor of 672, 420, 105 is 21

Here are some samples of GCD of Numbers calculations.

• GCD of 595, 463, 255
• GCD of 144, 914, 510
• GCD of 835, 249, 548
• GCD of 571, 406, 152
• GCD of 989, 304, 872

Given numbers are 672, 420, 105
The greatest common divisor of numbers 672, 420, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 420, 105 is 21.

1. What is the GCD of 672, 420, 105?

GCD of given numbers 672, 420, 105 is 21

2. How to calculate the greatest common divisor of 672, 420, 105?

We can find the highest common divisor of 672, 420, 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 672, 420, 105 i.e 21.

3. How can I use the GCD of 672, 420, 105Calculator?

Out the numbers 672, 420, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.