GCD of 772, 194, 270, 138 Calculator

Given Input numbers are 772, 194, 270, 138

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

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 194 :

The positive integer divisors of 194 that completely divides 194 are.

1, 2, 97, 194

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (772, 194, 270, 138) = 2.

Given numbers are 772, 194, 270, 138

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 194 are 2 x 97

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

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 772, 194, 270, 138 is 2.

Given numbers are 772, 194, 270, 138

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

Apply this formula for all numbers.

Step1:

LCM(772, 194) = 74884

GCD(772, 194) = ( 772 x 194 ) / 74884

= 772 / 194

= 772

Step2:

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

= 2 / 270

= 2

Step3:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

So, Greatest Common Divisor of 772, 194, 270, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 732, 135, 164, 824
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• GCD of 960, 247, 223, 664

Given numbers are 772, 194, 270, 138
The greatest common divisor of numbers 772, 194, 270, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 194, 270, 138 is 2.

1. What is the GCD of 772, 194, 270, 138?

GCD of given numbers 772, 194, 270, 138 is 2

2. How to calculate the greatest common divisor of 772, 194, 270, 138?

We can find the highest common divisor of 772, 194, 270, 138 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 772, 194, 270, 138 i.e 2.

3. How can I use the GCD of 772, 194, 270, 138Calculator?

Out the numbers 772, 194, 270, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.