GCD of 170, 750, 254, 642 Calculator

Given Input numbers are 170, 750, 254, 642

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

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

GCD of numbers is the greatest common divisor

So, the GCD (170, 750, 254, 642) = 2.

Given numbers are 170, 750, 254, 642

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 254 are 2 x 127

Prime factors of 642 are 2 x 3 x 107

The highest common occurrence is 2¹

Therefore, GCD of 170, 750, 254, 642 is 2.

Given numbers are 170, 750, 254, 642

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

Apply this formula for all numbers.

Step1:

LCM(170, 750) = 12750

GCD(170, 750) = ( 170 x 750 ) / 12750

= 170 / 750

= 170

Step2:

LCM(10, 254) = 1270

GCD(10, 254) = ( 10 x 254 ) / 1270

= 10 / 254

= 10

Step3:

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

= 2 / 642

= 2

So, Greatest Common Divisor of 170, 750, 254, 642 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 399, 806, 406, 376
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Given numbers are 170, 750, 254, 642
The greatest common divisor of numbers 170, 750, 254, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 750, 254, 642 is 2.

1. What is the GCD of 170, 750, 254, 642?

GCD of given numbers 170, 750, 254, 642 is 2

2. How to calculate the greatest common divisor of 170, 750, 254, 642?

We can find the highest common divisor of 170, 750, 254, 642 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 170, 750, 254, 642 i.e 2.

3. How can I use the GCD of 170, 750, 254, 642Calculator?

Out the numbers 170, 750, 254, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.