GCD of 148, 422, 500, 466 Calculator

Given Input numbers are 148, 422, 500, 466

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 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

GCD of numbers is the greatest common divisor

So, the GCD (148, 422, 500, 466) = 2.

Given numbers are 148, 422, 500, 466

The list of prime factors of all numbers are

Prime factors of 148 are 2 x 2 x 37

Prime factors of 422 are 2 x 211

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 466 are 2 x 233

The highest common occurrence is 2¹

Therefore, GCD of 148, 422, 500, 466 is 2.

Given numbers are 148, 422, 500, 466

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

Apply this formula for all numbers.

Step1:

LCM(148, 422) = 31228

GCD(148, 422) = ( 148 x 422 ) / 31228

= 148 / 422

= 148

Step2:

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

= 2 / 500

= 2

Step3:

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

= 2 / 466

= 2

So, Greatest Common Divisor of 148, 422, 500, 466 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 695, 864, 708
• GCD of 245, 130, 985, 474
• GCD of 156, 634, 929, 972
• GCD of 938, 713, 852, 614
• GCD of 382, 958, 607, 708

Given numbers are 148, 422, 500, 466
The greatest common divisor of numbers 148, 422, 500, 466 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 422, 500, 466 is 2.

1. What is the GCD of 148, 422, 500, 466?

GCD of given numbers 148, 422, 500, 466 is 2

2. How to calculate the greatest common divisor of 148, 422, 500, 466?

We can find the highest common divisor of 148, 422, 500, 466 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, 422, 500, 466 i.e 2.

3. How can I use the GCD of 148, 422, 500, 466Calculator?

Out the numbers 148, 422, 500, 466 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.