GCD of 344, 682, 71, 148 Calculator

Given Input numbers are 344, 682, 71, 148

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 71 :

The positive integer divisors of 71 that completely divides 71 are.

1, 71

Divisors of 148 :

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

1, 2, 4, 37, 74, 148

GCD of numbers is the greatest common divisor

So, the GCD (344, 682, 71, 148) = 1.

Given numbers are 344, 682, 71, 148

The list of prime factors of all numbers are

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 682 are 2 x 11 x 31

Prime factors of 71 are 71

Prime factors of 148 are 2 x 2 x 37

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

Given numbers are 344, 682, 71, 148

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

Apply this formula for all numbers.

Step1:

LCM(344, 682) = 117304

GCD(344, 682) = ( 344 x 682 ) / 117304

= 344 / 682

= 344

Step2:

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

= 2 / 71

= 2

Step3:

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

= 1 / 148

= 1

So, Greatest Common Divisor of 344, 682, 71, 148 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 370, 600, 95, 594
• GCD of 616, 109, 76, 353
• GCD of 266, 891, 42, 139
• GCD of 323, 381, 67, 201
• GCD of 402, 208, 57, 805

Given numbers are 344, 682, 71, 148
The greatest common divisor of numbers 344, 682, 71, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 682, 71, 148 is 1.

1. What is the GCD of 344, 682, 71, 148?

GCD of given numbers 344, 682, 71, 148 is 1

2. How to calculate the greatest common divisor of 344, 682, 71, 148?

We can find the highest common divisor of 344, 682, 71, 148 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 344, 682, 71, 148 i.e 1.

3. How can I use the GCD of 344, 682, 71, 148Calculator?

Out the numbers 344, 682, 71, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.