GCD of 270, 198, 49, 759 Calculator

Given Input numbers are 270, 198, 49, 759

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 49 :

The positive integer divisors of 49 that completely divides 49 are.

1, 7, 49

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

GCD of numbers is the greatest common divisor

So, the GCD (270, 198, 49, 759) = 1.

Given numbers are 270, 198, 49, 759

The list of prime factors of all numbers are

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 49 are 7 x 7

Prime factors of 759 are 3 x 11 x 23

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

Given numbers are 270, 198, 49, 759

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

Apply this formula for all numbers.

Step1:

LCM(270, 198) = 2970

GCD(270, 198) = ( 270 x 198 ) / 2970

= 270 / 198

= 270

Step2:

LCM(18, 49) = 882

GCD(18, 49) = ( 18 x 49 ) / 882

= 18 / 49

= 18

Step3:

LCM(1, 759) = 759

GCD(1, 759) = ( 1 x 759 ) / 759

= 1 / 759

= 1

So, Greatest Common Divisor of 270, 198, 49, 759 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 665, 153, 58, 869
• GCD of 520, 333, 56, 495
• GCD of 773, 178, 61, 799
• GCD of 225, 281, 36, 760
• GCD of 171, 488, 56, 756

Given numbers are 270, 198, 49, 759
The greatest common divisor of numbers 270, 198, 49, 759 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 198, 49, 759 is 1.

1. What is the GCD of 270, 198, 49, 759?

GCD of given numbers 270, 198, 49, 759 is 1

2. How to calculate the greatest common divisor of 270, 198, 49, 759?

We can find the highest common divisor of 270, 198, 49, 759 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 270, 198, 49, 759 i.e 1.

3. How can I use the GCD of 270, 198, 49, 759Calculator?

Out the numbers 270, 198, 49, 759 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.