GCD of 742, 762, 307, 990 Calculator

Given Input numbers are 742, 762, 307, 990

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 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (742, 762, 307, 990) = 1.

Given numbers are 742, 762, 307, 990

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 762 are 2 x 3 x 127

Prime factors of 307 are 307

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Given numbers are 742, 762, 307, 990

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

Apply this formula for all numbers.

Step1:

LCM(742, 762) = 282702

GCD(742, 762) = ( 742 x 762 ) / 282702

= 742 / 762

= 742

Step2:

LCM(2, 307) = 614

GCD(2, 307) = ( 2 x 307 ) / 614

= 2 / 307

= 2

Step3:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

So, Greatest Common Divisor of 742, 762, 307, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 775, 480, 255, 462
• GCD of 277, 310, 307, 323
• GCD of 486, 379, 498, 183
• GCD of 403, 802, 990, 741
• GCD of 773, 988, 970, 756

Given numbers are 742, 762, 307, 990
The greatest common divisor of numbers 742, 762, 307, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 762, 307, 990 is 1.

1. What is the GCD of 742, 762, 307, 990?

GCD of given numbers 742, 762, 307, 990 is 1

2. How to calculate the greatest common divisor of 742, 762, 307, 990?

We can find the highest common divisor of 742, 762, 307, 990 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, 762, 307, 990 i.e 1.

3. How can I use the GCD of 742, 762, 307, 990Calculator?

Out the numbers 742, 762, 307, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.