GCD of 269, 636, 748, 320 Calculator

Given Input numbers are 269, 636, 748, 320

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

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (269, 636, 748, 320) = 1.

Given numbers are 269, 636, 748, 320

The list of prime factors of all numbers are

Prime factors of 269 are 269

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Given numbers are 269, 636, 748, 320

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

Apply this formula for all numbers.

Step1:

LCM(269, 636) = 171084

GCD(269, 636) = ( 269 x 636 ) / 171084

= 269 / 636

= 269

Step2:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

Step3:

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

= 1 / 320

= 1

So, Greatest Common Divisor of 269, 636, 748, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 653, 308, 929
• GCD of 596, 270, 422, 288
• GCD of 670, 452, 447, 660
• GCD of 938, 863, 541, 596
• GCD of 913, 740, 781, 260

Given numbers are 269, 636, 748, 320
The greatest common divisor of numbers 269, 636, 748, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 269, 636, 748, 320 is 1.

1. What is the GCD of 269, 636, 748, 320?

GCD of given numbers 269, 636, 748, 320 is 1

2. How to calculate the greatest common divisor of 269, 636, 748, 320?

We can find the highest common divisor of 269, 636, 748, 320 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 269, 636, 748, 320 i.e 1.

3. How can I use the GCD of 269, 636, 748, 320Calculator?

Out the numbers 269, 636, 748, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.