GCD of 320, 285, 290, 700 Calculator

Given Input numbers are 320, 285, 290, 700

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

GCD of numbers is the greatest common divisor

So, the GCD (320, 285, 290, 700) = 5.

Given numbers are 320, 285, 290, 700

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 285 are 3 x 5 x 19

Prime factors of 290 are 2 x 5 x 29

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 320, 285, 290, 700 is 5.

Given numbers are 320, 285, 290, 700

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

Apply this formula for all numbers.

Step1:

LCM(320, 285) = 18240

GCD(320, 285) = ( 320 x 285 ) / 18240

= 320 / 285

= 320

Step2:

LCM(5, 290) = 290

GCD(5, 290) = ( 5 x 290 ) / 290

= 5 / 290

= 5

Step3:

LCM(5, 700) = 700

GCD(5, 700) = ( 5 x 700 ) / 700

= 5 / 700

= 5

So, Greatest Common Divisor of 320, 285, 290, 700 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 345, 993, 556, 162
• GCD of 334, 416, 836, 714
• GCD of 579, 944, 288, 983
• GCD of 271, 318, 965, 654
• GCD of 603, 655, 282, 699

Given numbers are 320, 285, 290, 700
The greatest common divisor of numbers 320, 285, 290, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 285, 290, 700 is 5.

1. What is the GCD of 320, 285, 290, 700?

GCD of given numbers 320, 285, 290, 700 is 5

2. How to calculate the greatest common divisor of 320, 285, 290, 700?

We can find the highest common divisor of 320, 285, 290, 700 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 320, 285, 290, 700 i.e 5.

3. How can I use the GCD of 320, 285, 290, 700Calculator?

Out the numbers 320, 285, 290, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.