GCD of 205, 740, 690, 105 Calculator

Given Input numbers are 205, 740, 690, 105

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

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (205, 740, 690, 105) = 5.

Given numbers are 205, 740, 690, 105

The list of prime factors of all numbers are

Prime factors of 205 are 5 x 41

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 105 are 3 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 205, 740, 690, 105 is 5.

Given numbers are 205, 740, 690, 105

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

Apply this formula for all numbers.

Step1:

LCM(205, 740) = 30340

GCD(205, 740) = ( 205 x 740 ) / 30340

= 205 / 740

= 205

Step2:

LCM(5, 690) = 690

GCD(5, 690) = ( 5 x 690 ) / 690

= 5 / 690

= 5

Step3:

LCM(5, 105) = 105

GCD(5, 105) = ( 5 x 105 ) / 105

= 5 / 105

= 5

So, Greatest Common Divisor of 205, 740, 690, 105 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 633, 501, 488
• GCD of 708, 710, 485, 321
• GCD of 971, 236, 683, 604
• GCD of 429, 713, 135, 689
• GCD of 397, 985, 584, 995

Given numbers are 205, 740, 690, 105
The greatest common divisor of numbers 205, 740, 690, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 205, 740, 690, 105 is 5.

1. What is the GCD of 205, 740, 690, 105?

GCD of given numbers 205, 740, 690, 105 is 5

2. How to calculate the greatest common divisor of 205, 740, 690, 105?

We can find the highest common divisor of 205, 740, 690, 105 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 205, 740, 690, 105 i.e 5.

3. How can I use the GCD of 205, 740, 690, 105Calculator?

Out the numbers 205, 740, 690, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.