GCD of 590, 265, 945, 150 Calculator

Given Input numbers are 590, 265, 945, 150

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

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 265 :

The positive integer divisors of 265 that completely divides 265 are.

1, 5, 53, 265

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

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

GCD of numbers is the greatest common divisor

So, the GCD (590, 265, 945, 150) = 5.

Given numbers are 590, 265, 945, 150

The list of prime factors of all numbers are

Prime factors of 590 are 2 x 5 x 59

Prime factors of 265 are 5 x 53

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

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

The highest common occurrence is 5¹

Therefore, GCD of 590, 265, 945, 150 is 5.

Given numbers are 590, 265, 945, 150

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

Apply this formula for all numbers.

Step1:

LCM(590, 265) = 31270

GCD(590, 265) = ( 590 x 265 ) / 31270

= 590 / 265

= 590

Step2:

LCM(5, 945) = 945

GCD(5, 945) = ( 5 x 945 ) / 945

= 5 / 945

= 5

Step3:

LCM(5, 150) = 150

GCD(5, 150) = ( 5 x 150 ) / 150

= 5 / 150

= 5

So, Greatest Common Divisor of 590, 265, 945, 150 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 748, 802, 593, 229
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• GCD of 593, 170, 324, 308

Given numbers are 590, 265, 945, 150
The greatest common divisor of numbers 590, 265, 945, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 590, 265, 945, 150 is 5.

1. What is the GCD of 590, 265, 945, 150?

GCD of given numbers 590, 265, 945, 150 is 5

2. How to calculate the greatest common divisor of 590, 265, 945, 150?

We can find the highest common divisor of 590, 265, 945, 150 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 590, 265, 945, 150 i.e 5.

3. How can I use the GCD of 590, 265, 945, 150Calculator?

Out the numbers 590, 265, 945, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.