GCD of 437, 840, 648, 742 Calculator

Given Input numbers are 437, 840, 648, 742

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

Divisors of 437 :

The positive integer divisors of 437 that completely divides 437 are.

1, 19, 23, 437

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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 742 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (437, 840, 648, 742) = 1.

Given numbers are 437, 840, 648, 742

The list of prime factors of all numbers are

Prime factors of 437 are 19 x 23

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

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

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 437, 840, 648, 742

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

Apply this formula for all numbers.

Step1:

LCM(437, 840) = 367080

GCD(437, 840) = ( 437 x 840 ) / 367080

= 437 / 840

= 437

Step2:

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

= 1 / 648

= 1

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 437, 840, 648, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 578, 933, 432
• GCD of 297, 232, 279, 974
• GCD of 651, 513, 391, 210
• GCD of 300, 728, 320, 948
• GCD of 108, 622, 860, 388

Given numbers are 437, 840, 648, 742
The greatest common divisor of numbers 437, 840, 648, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 437, 840, 648, 742 is 1.

1. What is the GCD of 437, 840, 648, 742?

GCD of given numbers 437, 840, 648, 742 is 1

2. How to calculate the greatest common divisor of 437, 840, 648, 742?

We can find the highest common divisor of 437, 840, 648, 742 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 437, 840, 648, 742 i.e 1.

3. How can I use the GCD of 437, 840, 648, 742Calculator?

Out the numbers 437, 840, 648, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.