GCD of 909, 688, 654, 272 Calculator

Given Input numbers are 909, 688, 654, 272

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

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

GCD of numbers is the greatest common divisor

So, the GCD (909, 688, 654, 272) = 1.

Given numbers are 909, 688, 654, 272

The list of prime factors of all numbers are

Prime factors of 909 are 3 x 3 x 101

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 654 are 2 x 3 x 109

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

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

Given numbers are 909, 688, 654, 272

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

Apply this formula for all numbers.

Step1:

LCM(909, 688) = 625392

GCD(909, 688) = ( 909 x 688 ) / 625392

= 909 / 688

= 909

Step2:

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

= 1 / 654

= 1

Step3:

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

= 1 / 272

= 1

So, Greatest Common Divisor of 909, 688, 654, 272 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 387, 462, 626
• GCD of 160, 417, 422, 502
• GCD of 636, 995, 549, 487
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• GCD of 882, 960, 231, 997

Given numbers are 909, 688, 654, 272
The greatest common divisor of numbers 909, 688, 654, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 909, 688, 654, 272 is 1.

1. What is the GCD of 909, 688, 654, 272?

GCD of given numbers 909, 688, 654, 272 is 1

2. How to calculate the greatest common divisor of 909, 688, 654, 272?

We can find the highest common divisor of 909, 688, 654, 272 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 909, 688, 654, 272 i.e 1.

3. How can I use the GCD of 909, 688, 654, 272Calculator?

Out the numbers 909, 688, 654, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.