GCD of 148, 312, 421, 494 Calculator

Given Input numbers are 148, 312, 421, 494

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 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

GCD of numbers is the greatest common divisor

So, the GCD (148, 312, 421, 494) = 1.

Given numbers are 148, 312, 421, 494

The list of prime factors of all numbers are

Prime factors of 148 are 2 x 2 x 37

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 421 are 421

Prime factors of 494 are 2 x 13 x 19

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

Given numbers are 148, 312, 421, 494

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

Apply this formula for all numbers.

Step1:

LCM(148, 312) = 11544

GCD(148, 312) = ( 148 x 312 ) / 11544

= 148 / 312

= 148

Step2:

LCM(4, 421) = 1684

GCD(4, 421) = ( 4 x 421 ) / 1684

= 4 / 421

= 4

Step3:

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

= 1 / 494

= 1

So, Greatest Common Divisor of 148, 312, 421, 494 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 330, 219, 204, 781
• GCD of 645, 400, 110, 957
• GCD of 948, 401, 494, 984
• GCD of 174, 170, 717, 910
• GCD of 509, 604, 478, 829

Given numbers are 148, 312, 421, 494
The greatest common divisor of numbers 148, 312, 421, 494 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 312, 421, 494 is 1.

1. What is the GCD of 148, 312, 421, 494?

GCD of given numbers 148, 312, 421, 494 is 1

2. How to calculate the greatest common divisor of 148, 312, 421, 494?

We can find the highest common divisor of 148, 312, 421, 494 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, 312, 421, 494 i.e 1.

3. How can I use the GCD of 148, 312, 421, 494Calculator?

Out the numbers 148, 312, 421, 494 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.