GCD of 100, 655, 340, 180 Calculator

Given Input numbers are 100, 655, 340, 180

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

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 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (100, 655, 340, 180) = 5.

Given numbers are 100, 655, 340, 180

The list of prime factors of all numbers are

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

Prime factors of 655 are 5 x 131

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 5¹

Therefore, GCD of 100, 655, 340, 180 is 5.

Given numbers are 100, 655, 340, 180

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

Apply this formula for all numbers.

Step1:

LCM(100, 655) = 13100

GCD(100, 655) = ( 100 x 655 ) / 13100

= 100 / 655

= 100

Step2:

LCM(5, 340) = 340

GCD(5, 340) = ( 5 x 340 ) / 340

= 5 / 340

= 5

Step3:

LCM(5, 180) = 180

GCD(5, 180) = ( 5 x 180 ) / 180

= 5 / 180

= 5

So, Greatest Common Divisor of 100, 655, 340, 180 is 5

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Given numbers are 100, 655, 340, 180
The greatest common divisor of numbers 100, 655, 340, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 655, 340, 180 is 5.

1. What is the GCD of 100, 655, 340, 180?

GCD of given numbers 100, 655, 340, 180 is 5

2. How to calculate the greatest common divisor of 100, 655, 340, 180?

We can find the highest common divisor of 100, 655, 340, 180 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 100, 655, 340, 180 i.e 5.

3. How can I use the GCD of 100, 655, 340, 180Calculator?

Out the numbers 100, 655, 340, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.