GCD of 428, 970, 150, 322 Calculator

Given Input numbers are 428, 970, 150, 322

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

GCD of numbers is the greatest common divisor

So, the GCD (428, 970, 150, 322) = 2.

Given numbers are 428, 970, 150, 322

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 970 are 2 x 5 x 97

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 322 are 2 x 7 x 23

The highest common occurrence is 2¹

Therefore, GCD of 428, 970, 150, 322 is 2.

Given numbers are 428, 970, 150, 322

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

Apply this formula for all numbers.

Step1:

LCM(428, 970) = 207580

GCD(428, 970) = ( 428 x 970 ) / 207580

= 428 / 970

= 428

Step2:

LCM(2, 150) = 150

GCD(2, 150) = ( 2 x 150 ) / 150

= 2 / 150

= 2

Step3:

LCM(2, 322) = 322

GCD(2, 322) = ( 2 x 322 ) / 322

= 2 / 322

= 2

So, Greatest Common Divisor of 428, 970, 150, 322 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 325, 814, 471
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• GCD of 660, 635, 563, 969
• GCD of 431, 158, 739, 434
• GCD of 692, 378, 212, 788

Given numbers are 428, 970, 150, 322
The greatest common divisor of numbers 428, 970, 150, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 970, 150, 322 is 2.

1. What is the GCD of 428, 970, 150, 322?

GCD of given numbers 428, 970, 150, 322 is 2

2. How to calculate the greatest common divisor of 428, 970, 150, 322?

We can find the highest common divisor of 428, 970, 150, 322 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 428, 970, 150, 322 i.e 2.

3. How can I use the GCD of 428, 970, 150, 322Calculator?

Out the numbers 428, 970, 150, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.