GCD of 109, 248, 289, 532 Calculator

Given Input numbers are 109, 248, 289, 532

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 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

GCD of numbers is the greatest common divisor

So, the GCD (109, 248, 289, 532) = 1.

Given numbers are 109, 248, 289, 532

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 289 are 17 x 17

Prime factors of 532 are 2 x 2 x 7 x 19

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

Given numbers are 109, 248, 289, 532

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

Apply this formula for all numbers.

Step1:

LCM(109, 248) = 27032

GCD(109, 248) = ( 109 x 248 ) / 27032

= 109 / 248

= 109

Step2:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

Step3:

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

= 1 / 532

= 1

So, Greatest Common Divisor of 109, 248, 289, 532 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 706, 365, 942
• GCD of 150, 769, 277, 867
• GCD of 171, 720, 212, 822
• GCD of 236, 305, 555, 891
• GCD of 390, 351, 628, 577

Given numbers are 109, 248, 289, 532
The greatest common divisor of numbers 109, 248, 289, 532 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 248, 289, 532 is 1.

1. What is the GCD of 109, 248, 289, 532?

GCD of given numbers 109, 248, 289, 532 is 1

2. How to calculate the greatest common divisor of 109, 248, 289, 532?

We can find the highest common divisor of 109, 248, 289, 532 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, 248, 289, 532 i.e 1.

3. How can I use the GCD of 109, 248, 289, 532Calculator?

Out the numbers 109, 248, 289, 532 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.