GCD of 148, 966, 355, 814 Calculator

Given Input numbers are 148, 966, 355, 814

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

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

GCD of numbers is the greatest common divisor

So, the GCD (148, 966, 355, 814) = 1.

Given numbers are 148, 966, 355, 814

The list of prime factors of all numbers are

Prime factors of 148 are 2 x 2 x 37

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 355 are 5 x 71

Prime factors of 814 are 2 x 11 x 37

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

Given numbers are 148, 966, 355, 814

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

Apply this formula for all numbers.

Step1:

LCM(148, 966) = 71484

GCD(148, 966) = ( 148 x 966 ) / 71484

= 148 / 966

= 148

Step2:

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

= 2 / 355

= 2

Step3:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1

So, Greatest Common Divisor of 148, 966, 355, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 258, 271, 283, 580
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• GCD of 932, 993, 576, 326

Given numbers are 148, 966, 355, 814
The greatest common divisor of numbers 148, 966, 355, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 966, 355, 814 is 1.

1. What is the GCD of 148, 966, 355, 814?

GCD of given numbers 148, 966, 355, 814 is 1

2. How to calculate the greatest common divisor of 148, 966, 355, 814?

We can find the highest common divisor of 148, 966, 355, 814 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 148, 966, 355, 814 i.e 1.

3. How can I use the GCD of 148, 966, 355, 814Calculator?

Out the numbers 148, 966, 355, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.