GCD of 580, 100, 350 Calculator

Given Input numbers are 580, 100, 350

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

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

GCD of numbers is the greatest common divisor

So, the GCD (580, 100, 350) = 10.

Given numbers are 580, 100, 350

The list of prime factors of all numbers are

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 350 are 2 x 5 x 5 x 7

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 580, 100, 350 is 10.

Given numbers are 580, 100, 350

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

Apply this formula for all numbers.

Step1:

LCM(580, 100) = 2900

GCD(580, 100) = ( 580 x 100 ) / 2900

= 580 / 100

= 580

Step2:

LCM(20, 350) = 700

GCD(20, 350) = ( 20 x 350 ) / 700

= 20 / 350

= 20

So, Greatest Common Divisor of 580, 100, 350 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 845, 189, 611
• GCD of 475, 478, 452
• GCD of 131, 971, 802
• GCD of 573, 457, 644
• GCD of 587, 996, 148

Given numbers are 580, 100, 350
The greatest common divisor of numbers 580, 100, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 100, 350 is 10.

1. What is the GCD of 580, 100, 350?

GCD of given numbers 580, 100, 350 is 10

2. How to calculate the greatest common divisor of 580, 100, 350?

We can find the highest common divisor of 580, 100, 350 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 580, 100, 350 i.e 10.

3. How can I use the GCD of 580, 100, 350Calculator?

Out the numbers 580, 100, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.