GCD of 742, 648, 420, 453 Calculator

Given Input numbers are 742, 648, 420, 453

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

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

Divisors of 453 :

The positive integer divisors of 453 that completely divides 453 are.

1, 3, 151, 453

GCD of numbers is the greatest common divisor

So, the GCD (742, 648, 420, 453) = 1.

Given numbers are 742, 648, 420, 453

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

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

Prime factors of 453 are 3 x 151

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 742, 648, 420, 453

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

Apply this formula for all numbers.

Step1:

LCM(742, 648) = 240408

GCD(742, 648) = ( 742 x 648 ) / 240408

= 742 / 648

= 742

Step2:

LCM(2, 420) = 420

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

= 2 / 420

= 2

Step3:

LCM(2, 453) = 906

GCD(2, 453) = ( 2 x 453 ) / 906

= 2 / 453

= 2

So, Greatest Common Divisor of 742, 648, 420, 453 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 596, 614, 362, 850
• GCD of 880, 105, 202, 759
• GCD of 264, 951, 211, 843
• GCD of 682, 238, 252, 175
• GCD of 268, 870, 897, 265

Given numbers are 742, 648, 420, 453
The greatest common divisor of numbers 742, 648, 420, 453 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 648, 420, 453 is 1.

1. What is the GCD of 742, 648, 420, 453?

GCD of given numbers 742, 648, 420, 453 is 1

2. How to calculate the greatest common divisor of 742, 648, 420, 453?

We can find the highest common divisor of 742, 648, 420, 453 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 742, 648, 420, 453 i.e 1.

3. How can I use the GCD of 742, 648, 420, 453Calculator?

Out the numbers 742, 648, 420, 453 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.