GCD of 269, 900, 655, 240 Calculator

Given Input numbers are 269, 900, 655, 240

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

Divisors of 269 :

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

1, 269

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (269, 900, 655, 240) = 1.

Given numbers are 269, 900, 655, 240

The list of prime factors of all numbers are

Prime factors of 269 are 269

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 655 are 5 x 131

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 269, 900, 655, 240

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

Apply this formula for all numbers.

Step1:

LCM(269, 900) = 242100

GCD(269, 900) = ( 269 x 900 ) / 242100

= 269 / 900

= 269

Step2:

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

= 1 / 655

= 1

Step3:

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

= 1 / 240

= 1

So, Greatest Common Divisor of 269, 900, 655, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 235, 969, 547
• GCD of 268, 504, 168, 158
• GCD of 435, 801, 846, 411
• GCD of 406, 140, 136, 644
• GCD of 777, 188, 170, 440

Given numbers are 269, 900, 655, 240
The greatest common divisor of numbers 269, 900, 655, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 269, 900, 655, 240 is 1.

1. What is the GCD of 269, 900, 655, 240?

GCD of given numbers 269, 900, 655, 240 is 1

2. How to calculate the greatest common divisor of 269, 900, 655, 240?

We can find the highest common divisor of 269, 900, 655, 240 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 269, 900, 655, 240 i.e 1.

3. How can I use the GCD of 269, 900, 655, 240Calculator?

Out the numbers 269, 900, 655, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.