GCD of 120, 530, 269, 100 Calculator

Given Input numbers are 120, 530, 269, 100

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (120, 530, 269, 100) = 1.

Given numbers are 120, 530, 269, 100

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 530 are 2 x 5 x 53

Prime factors of 269 are 269

Prime factors of 100 are 2 x 2 x 5 x 5

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

Given numbers are 120, 530, 269, 100

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

Apply this formula for all numbers.

Step1:

LCM(120, 530) = 6360

GCD(120, 530) = ( 120 x 530 ) / 6360

= 120 / 530

= 120

Step2:

LCM(10, 269) = 2690

GCD(10, 269) = ( 10 x 269 ) / 2690

= 10 / 269

= 10

Step3:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

So, Greatest Common Divisor of 120, 530, 269, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 727, 927, 945, 336
• GCD of 825, 776, 516, 556
• GCD of 896, 764, 644, 573
• GCD of 168, 133, 127, 884
• GCD of 527, 125, 806, 110

Given numbers are 120, 530, 269, 100
The greatest common divisor of numbers 120, 530, 269, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 530, 269, 100 is 1.

1. What is the GCD of 120, 530, 269, 100?

GCD of given numbers 120, 530, 269, 100 is 1

2. How to calculate the greatest common divisor of 120, 530, 269, 100?

We can find the highest common divisor of 120, 530, 269, 100 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 120, 530, 269, 100 i.e 1.

3. How can I use the GCD of 120, 530, 269, 100Calculator?

Out the numbers 120, 530, 269, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.