GCD of 610, 201, 684, 109 Calculator

Given Input numbers are 610, 201, 684, 109

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

Divisors of 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (610, 201, 684, 109) = 1.

Given numbers are 610, 201, 684, 109

The list of prime factors of all numbers are

Prime factors of 610 are 2 x 5 x 61

Prime factors of 201 are 3 x 67

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 109 are 109

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

Given numbers are 610, 201, 684, 109

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

Apply this formula for all numbers.

Step1:

LCM(610, 201) = 122610

GCD(610, 201) = ( 610 x 201 ) / 122610

= 610 / 201

= 610

Step2:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1

Step3:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

So, Greatest Common Divisor of 610, 201, 684, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 785, 454, 328, 123
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Given numbers are 610, 201, 684, 109
The greatest common divisor of numbers 610, 201, 684, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 610, 201, 684, 109 is 1.

1. What is the GCD of 610, 201, 684, 109?

GCD of given numbers 610, 201, 684, 109 is 1

2. How to calculate the greatest common divisor of 610, 201, 684, 109?

We can find the highest common divisor of 610, 201, 684, 109 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 610, 201, 684, 109 i.e 1.

3. How can I use the GCD of 610, 201, 684, 109Calculator?

Out the numbers 610, 201, 684, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.