GCD of 242, 697, 109, 502 Calculator

Given Input numbers are 242, 697, 109, 502

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

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 697 :

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

1, 17, 41, 697

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

GCD of numbers is the greatest common divisor

So, the GCD (242, 697, 109, 502) = 1.

Given numbers are 242, 697, 109, 502

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

Prime factors of 697 are 17 x 41

Prime factors of 109 are 109

Prime factors of 502 are 2 x 251

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

Given numbers are 242, 697, 109, 502

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

Apply this formula for all numbers.

Step1:

LCM(242, 697) = 168674

GCD(242, 697) = ( 242 x 697 ) / 168674

= 242 / 697

= 242

Step2:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

Step3:

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

= 1 / 502

= 1

So, Greatest Common Divisor of 242, 697, 109, 502 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 216, 529, 144
• GCD of 280, 558, 323, 392
• GCD of 758, 855, 680, 872
• GCD of 946, 807, 642, 641
• GCD of 764, 809, 154, 577

Given numbers are 242, 697, 109, 502
The greatest common divisor of numbers 242, 697, 109, 502 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 697, 109, 502 is 1.

1. What is the GCD of 242, 697, 109, 502?

GCD of given numbers 242, 697, 109, 502 is 1

2. How to calculate the greatest common divisor of 242, 697, 109, 502?

We can find the highest common divisor of 242, 697, 109, 502 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 242, 697, 109, 502 i.e 1.

3. How can I use the GCD of 242, 697, 109, 502Calculator?

Out the numbers 242, 697, 109, 502 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.