GCD of 658, 361, 360, 100 Calculator

Given Input numbers are 658, 361, 360, 100

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

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 100 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (658, 361, 360, 100) = 1.

Given numbers are 658, 361, 360, 100

The list of prime factors of all numbers are

Prime factors of 658 are 2 x 7 x 47

Prime factors of 361 are 19 x 19

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 658, 361, 360, 100

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

Apply this formula for all numbers.

Step1:

LCM(658, 361) = 237538

GCD(658, 361) = ( 658 x 361 ) / 237538

= 658 / 361

= 658

Step2:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

Step3:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

So, Greatest Common Divisor of 658, 361, 360, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 194, 438, 320
• GCD of 966, 337, 465, 663
• GCD of 587, 359, 699, 262
• GCD of 177, 343, 767, 317
• GCD of 387, 838, 704, 416

Given numbers are 658, 361, 360, 100
The greatest common divisor of numbers 658, 361, 360, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 658, 361, 360, 100 is 1.

1. What is the GCD of 658, 361, 360, 100?

GCD of given numbers 658, 361, 360, 100 is 1

2. How to calculate the greatest common divisor of 658, 361, 360, 100?

We can find the highest common divisor of 658, 361, 360, 100 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 658, 361, 360, 100 i.e 1.

3. How can I use the GCD of 658, 361, 360, 100Calculator?

Out the numbers 658, 361, 360, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.