GCD of 160, 280, 790, 450 Calculator

Given Input numbers are 160, 280, 790, 450

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

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

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

GCD of numbers is the greatest common divisor

So, the GCD (160, 280, 790, 450) = 10.

Given numbers are 160, 280, 790, 450

The list of prime factors of all numbers are

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

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 790 are 2 x 5 x 79

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 160, 280, 790, 450 is 10.

Given numbers are 160, 280, 790, 450

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

Apply this formula for all numbers.

Step1:

LCM(160, 280) = 1120

GCD(160, 280) = ( 160 x 280 ) / 1120

= 160 / 280

= 160

Step2:

LCM(40, 790) = 3160

GCD(40, 790) = ( 40 x 790 ) / 3160

= 40 / 790

= 40

Step3:

LCM(10, 450) = 450

GCD(10, 450) = ( 10 x 450 ) / 450

= 10 / 450

= 10

So, Greatest Common Divisor of 160, 280, 790, 450 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 831, 152, 914, 596
• GCD of 742, 256, 208, 367
• GCD of 878, 532, 639, 344
• GCD of 258, 757, 226, 308
• GCD of 239, 173, 836, 698

Given numbers are 160, 280, 790, 450
The greatest common divisor of numbers 160, 280, 790, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 280, 790, 450 is 10.

1. What is the GCD of 160, 280, 790, 450?

GCD of given numbers 160, 280, 790, 450 is 10

2. How to calculate the greatest common divisor of 160, 280, 790, 450?

We can find the highest common divisor of 160, 280, 790, 450 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 160, 280, 790, 450 i.e 10.

3. How can I use the GCD of 160, 280, 790, 450Calculator?

Out the numbers 160, 280, 790, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.