GCD of 148, 310, 824 Calculator

Given Input numbers are 148, 310, 824

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 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (148, 310, 824) = 2.

Given numbers are 148, 310, 824

The list of prime factors of all numbers are

Prime factors of 148 are 2 x 2 x 37

Prime factors of 310 are 2 x 5 x 31

Prime factors of 824 are 2 x 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 148, 310, 824 is 2.

Given numbers are 148, 310, 824

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

Apply this formula for all numbers.

Step1:

LCM(148, 310) = 22940

GCD(148, 310) = ( 148 x 310 ) / 22940

= 148 / 310

= 148

Step2:

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

= 2 / 824

= 2

So, Greatest Common Divisor of 148, 310, 824 is 2

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Given numbers are 148, 310, 824
The greatest common divisor of numbers 148, 310, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 310, 824 is 2.

1. What is the GCD of 148, 310, 824?

GCD of given numbers 148, 310, 824 is 2

2. How to calculate the greatest common divisor of 148, 310, 824?

We can find the highest common divisor of 148, 310, 824 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, 310, 824 i.e 2.

3. How can I use the GCD of 148, 310, 824Calculator?

Out the numbers 148, 310, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.