GCD of 469, 221, 300, 240 Calculator

Given Input numbers are 469, 221, 300, 240

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

Divisors of 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

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 (469, 221, 300, 240) = 1.

Given numbers are 469, 221, 300, 240

The list of prime factors of all numbers are

Prime factors of 469 are 7 x 67

Prime factors of 221 are 13 x 17

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

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 469, 221, 300, 240

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

Apply this formula for all numbers.

Step1:

LCM(469, 221) = 103649

GCD(469, 221) = ( 469 x 221 ) / 103649

= 469 / 221

= 469

Step2:

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

= 1 / 300

= 1

Step3:

LCM(1, 240) = 240

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

= 1 / 240

= 1

So, Greatest Common Divisor of 469, 221, 300, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 844, 372, 669
• GCD of 535, 624, 703, 830
• GCD of 844, 698, 409, 671
• GCD of 664, 598, 234, 597
• GCD of 553, 132, 566, 468

Given numbers are 469, 221, 300, 240
The greatest common divisor of numbers 469, 221, 300, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 469, 221, 300, 240 is 1.

1. What is the GCD of 469, 221, 300, 240?

GCD of given numbers 469, 221, 300, 240 is 1

2. How to calculate the greatest common divisor of 469, 221, 300, 240?

We can find the highest common divisor of 469, 221, 300, 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 469, 221, 300, 240 i.e 1.

3. How can I use the GCD of 469, 221, 300, 240Calculator?

Out the numbers 469, 221, 300, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.