GCD of 69, 10, 59, 75 Calculator

Given Input numbers are 69, 10, 59, 75

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

Divisors of 69 :

The positive integer divisors of 69 that completely divides 69 are.

1, 3, 23, 69

Divisors of 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

Divisors of 59 :

The positive integer divisors of 59 that completely divides 59 are.

1, 59

Divisors of 75 :

The positive integer divisors of 75 that completely divides 75 are.

1, 3, 5, 15, 25, 75

GCD of numbers is the greatest common divisor

So, the GCD (69, 10, 59, 75) = 1.

Given numbers are 69, 10, 59, 75

The list of prime factors of all numbers are

Prime factors of 69 are 3 x 23

Prime factors of 10 are 2 x 5

Prime factors of 59 are 59

Prime factors of 75 are 3 x 5 x 5

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

Given numbers are 69, 10, 59, 75

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

Apply this formula for all numbers.

Step1:

LCM(69, 10) = 690

GCD(69, 10) = ( 69 x 10 ) / 690

= 69 / 10

= 69

Step2:

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

= 1 / 59

= 1

Step3:

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

= 1 / 75

= 1

So, Greatest Common Divisor of 69, 10, 59, 75 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 57, 21, 79, 59
• GCD of 41, 39, 98, 90
• GCD of 40, 93, 74, 36
• GCD of 19, 78, 52, 34
• GCD of 60, 56, 39, 17

Given numbers are 69, 10, 59, 75
The greatest common divisor of numbers 69, 10, 59, 75 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 69, 10, 59, 75 is 1.

1. What is the GCD of 69, 10, 59, 75?

GCD of given numbers 69, 10, 59, 75 is 1

2. How to calculate the greatest common divisor of 69, 10, 59, 75?

We can find the highest common divisor of 69, 10, 59, 75 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 69, 10, 59, 75 i.e 1.

3. How can I use the GCD of 69, 10, 59, 75Calculator?

Out the numbers 69, 10, 59, 75 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.