GCD of 697, 538, 616, 909 Calculator

Given Input numbers are 697, 538, 616, 909

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

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 909 :

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

1, 3, 9, 101, 303, 909

GCD of numbers is the greatest common divisor

So, the GCD (697, 538, 616, 909) = 1.

Given numbers are 697, 538, 616, 909

The list of prime factors of all numbers are

Prime factors of 697 are 17 x 41

Prime factors of 538 are 2 x 269

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 909 are 3 x 3 x 101

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

Given numbers are 697, 538, 616, 909

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

Apply this formula for all numbers.

Step1:

LCM(697, 538) = 374986

GCD(697, 538) = ( 697 x 538 ) / 374986

= 697 / 538

= 697

Step2:

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

= 1 / 616

= 1

Step3:

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

= 1 / 909

= 1

So, Greatest Common Divisor of 697, 538, 616, 909 is 1

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Given numbers are 697, 538, 616, 909
The greatest common divisor of numbers 697, 538, 616, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 697, 538, 616, 909 is 1.

1. What is the GCD of 697, 538, 616, 909?

GCD of given numbers 697, 538, 616, 909 is 1

2. How to calculate the greatest common divisor of 697, 538, 616, 909?

We can find the highest common divisor of 697, 538, 616, 909 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 697, 538, 616, 909 i.e 1.

3. How can I use the GCD of 697, 538, 616, 909Calculator?

Out the numbers 697, 538, 616, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.