GCD of 135, 278, 724, 220 Calculator

Given Input numbers are 135, 278, 724, 220

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

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

GCD of numbers is the greatest common divisor

So, the GCD (135, 278, 724, 220) = 1.

Given numbers are 135, 278, 724, 220

The list of prime factors of all numbers are

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 278 are 2 x 139

Prime factors of 724 are 2 x 2 x 181

Prime factors of 220 are 2 x 2 x 5 x 11

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

Given numbers are 135, 278, 724, 220

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

Apply this formula for all numbers.

Step1:

LCM(135, 278) = 37530

GCD(135, 278) = ( 135 x 278 ) / 37530

= 135 / 278

= 135

Step2:

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

= 1 / 724

= 1

Step3:

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

= 1 / 220

= 1

So, Greatest Common Divisor of 135, 278, 724, 220 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 127, 107, 821, 361
• GCD of 789, 598, 768, 894
• GCD of 371, 393, 210, 877
• GCD of 522, 202, 281, 188
• GCD of 682, 370, 743, 586

Given numbers are 135, 278, 724, 220
The greatest common divisor of numbers 135, 278, 724, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 278, 724, 220 is 1.

1. What is the GCD of 135, 278, 724, 220?

GCD of given numbers 135, 278, 724, 220 is 1

2. How to calculate the greatest common divisor of 135, 278, 724, 220?

We can find the highest common divisor of 135, 278, 724, 220 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 135, 278, 724, 220 i.e 1.

3. How can I use the GCD of 135, 278, 724, 220Calculator?

Out the numbers 135, 278, 724, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.