GCD of 241, 509, 742, 988 Calculator

Given Input numbers are 241, 509, 742, 988

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

Divisors of 241 :

The positive integer divisors of 241 that completely divides 241 are.

1, 241

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

GCD of numbers is the greatest common divisor

So, the GCD (241, 509, 742, 988) = 1.

Given numbers are 241, 509, 742, 988

The list of prime factors of all numbers are

Prime factors of 241 are 241

Prime factors of 509 are 509

Prime factors of 742 are 2 x 7 x 53

Prime factors of 988 are 2 x 2 x 13 x 19

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

Given numbers are 241, 509, 742, 988

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

Apply this formula for all numbers.

Step1:

LCM(241, 509) = 122669

GCD(241, 509) = ( 241 x 509 ) / 122669

= 241 / 509

= 241

Step2:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

Step3:

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

= 1 / 988

= 1

So, Greatest Common Divisor of 241, 509, 742, 988 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 711, 377, 559, 323
• GCD of 789, 615, 424, 595
• GCD of 371, 206, 600, 234
• GCD of 181, 113, 778, 181
• GCD of 102, 584, 389, 178

Given numbers are 241, 509, 742, 988
The greatest common divisor of numbers 241, 509, 742, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 241, 509, 742, 988 is 1.

1. What is the GCD of 241, 509, 742, 988?

GCD of given numbers 241, 509, 742, 988 is 1

2. How to calculate the greatest common divisor of 241, 509, 742, 988?

We can find the highest common divisor of 241, 509, 742, 988 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 241, 509, 742, 988 i.e 1.

3. How can I use the GCD of 241, 509, 742, 988Calculator?

Out the numbers 241, 509, 742, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.