GCD of 382, 890, 708, 148 Calculator

Given Input numbers are 382, 890, 708, 148

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

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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 (382, 890, 708, 148) = 2.

Given numbers are 382, 890, 708, 148

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 890 are 2 x 5 x 89

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 148 are 2 x 2 x 37

The highest common occurrence is 2¹

Therefore, GCD of 382, 890, 708, 148 is 2.

Given numbers are 382, 890, 708, 148

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

Apply this formula for all numbers.

Step1:

LCM(382, 890) = 169990

GCD(382, 890) = ( 382 x 890 ) / 169990

= 382 / 890

= 382

Step2:

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

= 2 / 708

= 2

Step3:

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

= 2 / 148

= 2

So, Greatest Common Divisor of 382, 890, 708, 148 is 2

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Given numbers are 382, 890, 708, 148
The greatest common divisor of numbers 382, 890, 708, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 890, 708, 148 is 2.

1. What is the GCD of 382, 890, 708, 148?

GCD of given numbers 382, 890, 708, 148 is 2

2. How to calculate the greatest common divisor of 382, 890, 708, 148?

We can find the highest common divisor of 382, 890, 708, 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 382, 890, 708, 148 i.e 2.

3. How can I use the GCD of 382, 890, 708, 148Calculator?

Out the numbers 382, 890, 708, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.