GCD of 732, 694, 648, 420 Calculator

Given Input numbers are 732, 694, 648, 420

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

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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

GCD of numbers is the greatest common divisor

So, the GCD (732, 694, 648, 420) = 2.

Given numbers are 732, 694, 648, 420

The list of prime factors of all numbers are

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 694 are 2 x 347

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 732, 694, 648, 420 is 2.

Given numbers are 732, 694, 648, 420

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

Apply this formula for all numbers.

Step1:

LCM(732, 694) = 254004

GCD(732, 694) = ( 732 x 694 ) / 254004

= 732 / 694

= 732

Step2:

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

= 2 / 648

= 2

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 732, 694, 648, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 807, 482, 774, 149
• GCD of 243, 614, 966, 250
• GCD of 838, 393, 863, 656
• GCD of 659, 972, 651, 870
• GCD of 380, 110, 678, 550

Given numbers are 732, 694, 648, 420
The greatest common divisor of numbers 732, 694, 648, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 694, 648, 420 is 2.

1. What is the GCD of 732, 694, 648, 420?

GCD of given numbers 732, 694, 648, 420 is 2

2. How to calculate the greatest common divisor of 732, 694, 648, 420?

We can find the highest common divisor of 732, 694, 648, 420 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 732, 694, 648, 420 i.e 2.

3. How can I use the GCD of 732, 694, 648, 420Calculator?

Out the numbers 732, 694, 648, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.