GCD of 109, 143, 921, 242 Calculator

Given Input numbers are 109, 143, 921, 242

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

Divisors of 109 :

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

1, 109

Divisors of 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 242 :

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

1, 2, 11, 22, 121, 242

GCD of numbers is the greatest common divisor

So, the GCD (109, 143, 921, 242) = 1.

Given numbers are 109, 143, 921, 242

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 143 are 11 x 13

Prime factors of 921 are 3 x 307

Prime factors of 242 are 2 x 11 x 11

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

Given numbers are 109, 143, 921, 242

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

Apply this formula for all numbers.

Step1:

LCM(109, 143) = 15587

GCD(109, 143) = ( 109 x 143 ) / 15587

= 109 / 143

= 109

Step2:

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

= 1 / 921

= 1

Step3:

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

= 1 / 242

= 1

So, Greatest Common Divisor of 109, 143, 921, 242 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 481, 561, 798, 356
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• GCD of 105, 777, 142, 801
• GCD of 901, 265, 881, 459
• GCD of 958, 812, 646, 540

Given numbers are 109, 143, 921, 242
The greatest common divisor of numbers 109, 143, 921, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 143, 921, 242 is 1.

1. What is the GCD of 109, 143, 921, 242?

GCD of given numbers 109, 143, 921, 242 is 1

2. How to calculate the greatest common divisor of 109, 143, 921, 242?

We can find the highest common divisor of 109, 143, 921, 242 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 109, 143, 921, 242 i.e 1.

3. How can I use the GCD of 109, 143, 921, 242Calculator?

Out the numbers 109, 143, 921, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.