GCD of 575, 135, 590, 160 Calculator

Given Input numbers are 575, 135, 590, 160

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

Divisors of 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 590 :

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

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

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

GCD of numbers is the greatest common divisor

So, the GCD (575, 135, 590, 160) = 5.

Given numbers are 575, 135, 590, 160

The list of prime factors of all numbers are

Prime factors of 575 are 5 x 5 x 23

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 590 are 2 x 5 x 59

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 5¹

Therefore, GCD of 575, 135, 590, 160 is 5.

Given numbers are 575, 135, 590, 160

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

Apply this formula for all numbers.

Step1:

LCM(575, 135) = 15525

GCD(575, 135) = ( 575 x 135 ) / 15525

= 575 / 135

= 575

Step2:

LCM(5, 590) = 590

GCD(5, 590) = ( 5 x 590 ) / 590

= 5 / 590

= 5

Step3:

LCM(5, 160) = 160

GCD(5, 160) = ( 5 x 160 ) / 160

= 5 / 160

= 5

So, Greatest Common Divisor of 575, 135, 590, 160 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 204, 452, 714, 305
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• GCD of 470, 773, 690, 101
• GCD of 396, 104, 251, 333
• GCD of 595, 883, 770, 171

Given numbers are 575, 135, 590, 160
The greatest common divisor of numbers 575, 135, 590, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 575, 135, 590, 160 is 5.

1. What is the GCD of 575, 135, 590, 160?

GCD of given numbers 575, 135, 590, 160 is 5

2. How to calculate the greatest common divisor of 575, 135, 590, 160?

We can find the highest common divisor of 575, 135, 590, 160 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 575, 135, 590, 160 i.e 5.

3. How can I use the GCD of 575, 135, 590, 160Calculator?

Out the numbers 575, 135, 590, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.