GCD of 747, 660, 614, 424 Calculator

Given Input numbers are 747, 660, 614, 424

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

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

GCD of numbers is the greatest common divisor

So, the GCD (747, 660, 614, 424) = 1.

Given numbers are 747, 660, 614, 424

The list of prime factors of all numbers are

Prime factors of 747 are 3 x 3 x 83

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 614 are 2 x 307

Prime factors of 424 are 2 x 2 x 2 x 53

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

Given numbers are 747, 660, 614, 424

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

Apply this formula for all numbers.

Step1:

LCM(747, 660) = 164340

GCD(747, 660) = ( 747 x 660 ) / 164340

= 747 / 660

= 747

Step2:

LCM(3, 614) = 1842

GCD(3, 614) = ( 3 x 614 ) / 1842

= 3 / 614

= 3

Step3:

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

= 1 / 424

= 1

So, Greatest Common Divisor of 747, 660, 614, 424 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 327, 657, 109, 727
• GCD of 303, 461, 988, 743
• GCD of 850, 817, 739, 153
• GCD of 763, 153, 370, 327
• GCD of 655, 819, 955, 851

Given numbers are 747, 660, 614, 424
The greatest common divisor of numbers 747, 660, 614, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 660, 614, 424 is 1.

1. What is the GCD of 747, 660, 614, 424?

GCD of given numbers 747, 660, 614, 424 is 1

2. How to calculate the greatest common divisor of 747, 660, 614, 424?

We can find the highest common divisor of 747, 660, 614, 424 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 747, 660, 614, 424 i.e 1.

3. How can I use the GCD of 747, 660, 614, 424Calculator?

Out the numbers 747, 660, 614, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.