GCD of 428, 250, 574, 160 Calculator

Given Input numbers are 428, 250, 574, 160

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 250 :

The positive integer divisors of 250 that completely divides 250 are.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

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 (428, 250, 574, 160) = 2.

Given numbers are 428, 250, 574, 160

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 250 are 2 x 5 x 5 x 5

Prime factors of 574 are 2 x 7 x 41

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

The highest common occurrence is 2¹

Therefore, GCD of 428, 250, 574, 160 is 2.

Given numbers are 428, 250, 574, 160

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

Apply this formula for all numbers.

Step1:

LCM(428, 250) = 53500

GCD(428, 250) = ( 428 x 250 ) / 53500

= 428 / 250

= 428

Step2:

LCM(2, 574) = 574

GCD(2, 574) = ( 2 x 574 ) / 574

= 2 / 574

= 2

Step3:

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

= 2 / 160

= 2

So, Greatest Common Divisor of 428, 250, 574, 160 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 201, 877, 893, 340
• GCD of 289, 148, 349, 798
• GCD of 177, 784, 678, 696
• GCD of 968, 557, 114, 754
• GCD of 357, 114, 641, 750

Given numbers are 428, 250, 574, 160
The greatest common divisor of numbers 428, 250, 574, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 250, 574, 160 is 2.

1. What is the GCD of 428, 250, 574, 160?

GCD of given numbers 428, 250, 574, 160 is 2

2. How to calculate the greatest common divisor of 428, 250, 574, 160?

We can find the highest common divisor of 428, 250, 574, 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 428, 250, 574, 160 i.e 2.

3. How can I use the GCD of 428, 250, 574, 160Calculator?

Out the numbers 428, 250, 574, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.