GCD of 742, 965, 323, 240 Calculator

Given Input numbers are 742, 965, 323, 240

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 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

Divisors of 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (742, 965, 323, 240) = 1.

Given numbers are 742, 965, 323, 240

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 965 are 5 x 193

Prime factors of 323 are 17 x 19

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 742, 965, 323, 240

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

Apply this formula for all numbers.

Step1:

LCM(742, 965) = 716030

GCD(742, 965) = ( 742 x 965 ) / 716030

= 742 / 965

= 742

Step2:

LCM(1, 323) = 323

GCD(1, 323) = ( 1 x 323 ) / 323

= 1 / 323

= 1

Step3:

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

= 1 / 240

= 1

So, Greatest Common Divisor of 742, 965, 323, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 299, 189, 593, 140
• GCD of 698, 699, 741, 132
• GCD of 252, 693, 103, 828
• GCD of 524, 960, 618, 245
• GCD of 299, 731, 124, 813

Given numbers are 742, 965, 323, 240
The greatest common divisor of numbers 742, 965, 323, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 965, 323, 240 is 1.

1. What is the GCD of 742, 965, 323, 240?

GCD of given numbers 742, 965, 323, 240 is 1

2. How to calculate the greatest common divisor of 742, 965, 323, 240?

We can find the highest common divisor of 742, 965, 323, 240 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, 965, 323, 240 i.e 1.

3. How can I use the GCD of 742, 965, 323, 240Calculator?

Out the numbers 742, 965, 323, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.