GCD of 742, 660, 600, 741 Calculator

Given Input numbers are 742, 660, 600, 741

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 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 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

GCD of numbers is the greatest common divisor

So, the GCD (742, 660, 600, 741) = 1.

Given numbers are 742, 660, 600, 741

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

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

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 741 are 3 x 13 x 19

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

Given numbers are 742, 660, 600, 741

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

Apply this formula for all numbers.

Step1:

LCM(742, 660) = 244860

GCD(742, 660) = ( 742 x 660 ) / 244860

= 742 / 660

= 742

Step2:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

Step3:

LCM(2, 741) = 1482

GCD(2, 741) = ( 2 x 741 ) / 1482

= 2 / 741

= 2

So, Greatest Common Divisor of 742, 660, 600, 741 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 480, 198, 512, 863
• GCD of 396, 608, 970, 176
• GCD of 669, 169, 671, 226
• GCD of 140, 620, 874, 248
• GCD of 441, 697, 820, 168

Given numbers are 742, 660, 600, 741
The greatest common divisor of numbers 742, 660, 600, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 660, 600, 741 is 1.

1. What is the GCD of 742, 660, 600, 741?

GCD of given numbers 742, 660, 600, 741 is 1

2. How to calculate the greatest common divisor of 742, 660, 600, 741?

We can find the highest common divisor of 742, 660, 600, 741 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, 660, 600, 741 i.e 1.

3. How can I use the GCD of 742, 660, 600, 741Calculator?

Out the numbers 742, 660, 600, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.