GCD of 653, 268, 721, 309 Calculator

Given Input numbers are 653, 268, 721, 309

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

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (653, 268, 721, 309) = 1.

Given numbers are 653, 268, 721, 309

The list of prime factors of all numbers are

Prime factors of 653 are 653

Prime factors of 268 are 2 x 2 x 67

Prime factors of 721 are 7 x 103

Prime factors of 309 are 3 x 103

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

Given numbers are 653, 268, 721, 309

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

Apply this formula for all numbers.

Step1:

LCM(653, 268) = 175004

GCD(653, 268) = ( 653 x 268 ) / 175004

= 653 / 268

= 653

Step2:

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

= 1 / 721

= 1

Step3:

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

= 1 / 309

= 1

So, Greatest Common Divisor of 653, 268, 721, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 113, 735, 554
• GCD of 754, 395, 391, 658
• GCD of 541, 952, 675, 493
• GCD of 822, 208, 757, 272
• GCD of 156, 705, 623, 629

Given numbers are 653, 268, 721, 309
The greatest common divisor of numbers 653, 268, 721, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 653, 268, 721, 309 is 1.

1. What is the GCD of 653, 268, 721, 309?

GCD of given numbers 653, 268, 721, 309 is 1

2. How to calculate the greatest common divisor of 653, 268, 721, 309?

We can find the highest common divisor of 653, 268, 721, 309 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 653, 268, 721, 309 i.e 1.

3. How can I use the GCD of 653, 268, 721, 309Calculator?

Out the numbers 653, 268, 721, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.