GCD of 742, 612, 624, 727 Calculator

Given Input numbers are 742, 612, 624, 727

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 727 :

The positive integer divisors of 727 that completely divides 727 are.

1, 727

GCD of numbers is the greatest common divisor

So, the GCD (742, 612, 624, 727) = 1.

Given numbers are 742, 612, 624, 727

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 727 are 727

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

Given numbers are 742, 612, 624, 727

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

Apply this formula for all numbers.

Step1:

LCM(742, 612) = 227052

GCD(742, 612) = ( 742 x 612 ) / 227052

= 742 / 612

= 742

Step2:

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

= 2 / 624

= 2

Step3:

LCM(2, 727) = 1454

GCD(2, 727) = ( 2 x 727 ) / 1454

= 2 / 727

= 2

So, Greatest Common Divisor of 742, 612, 624, 727 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 439, 663, 323, 994
• GCD of 987, 971, 995, 135
• GCD of 382, 200, 294, 919
• GCD of 366, 517, 913, 231
• GCD of 265, 216, 334, 491

Given numbers are 742, 612, 624, 727
The greatest common divisor of numbers 742, 612, 624, 727 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 612, 624, 727 is 1.

1. What is the GCD of 742, 612, 624, 727?

GCD of given numbers 742, 612, 624, 727 is 1

2. How to calculate the greatest common divisor of 742, 612, 624, 727?

We can find the highest common divisor of 742, 612, 624, 727 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, 612, 624, 727 i.e 1.

3. How can I use the GCD of 742, 612, 624, 727Calculator?

Out the numbers 742, 612, 624, 727 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.