GCD of 149, 723, 348 Calculator

Given Input numbers are 149, 723, 348

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

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (149, 723, 348) = 1.

Given numbers are 149, 723, 348

The list of prime factors of all numbers are

Prime factors of 149 are 149

Prime factors of 723 are 3 x 241

Prime factors of 348 are 2 x 2 x 3 x 29

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

Given numbers are 149, 723, 348

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

Apply this formula for all numbers.

Step1:

LCM(149, 723) = 107727

GCD(149, 723) = ( 149 x 723 ) / 107727

= 149 / 723

= 149

Step2:

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

= 1 / 348

= 1

So, Greatest Common Divisor of 149, 723, 348 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 215, 426, 691
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Given numbers are 149, 723, 348
The greatest common divisor of numbers 149, 723, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 149, 723, 348 is 1.

1. What is the GCD of 149, 723, 348?

GCD of given numbers 149, 723, 348 is 1

2. How to calculate the greatest common divisor of 149, 723, 348?

We can find the highest common divisor of 149, 723, 348 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 149, 723, 348 i.e 1.

3. How can I use the GCD of 149, 723, 348Calculator?

Out the numbers 149, 723, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.