GCD of 75, 85, 61, 15 Calculator

Given Input numbers are 75, 85, 61, 15

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

Divisors of 75 :

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

1, 3, 5, 15, 25, 75

Divisors of 85 :

The positive integer divisors of 85 that completely divides 85 are.

1, 5, 17, 85

Divisors of 61 :

The positive integer divisors of 61 that completely divides 61 are.

1, 61

Divisors of 15 :

The positive integer divisors of 15 that completely divides 15 are.

1, 3, 5, 15

GCD of numbers is the greatest common divisor

So, the GCD (75, 85, 61, 15) = 1.

Given numbers are 75, 85, 61, 15

The list of prime factors of all numbers are

Prime factors of 75 are 3 x 5 x 5

Prime factors of 85 are 5 x 17

Prime factors of 61 are 61

Prime factors of 15 are 3 x 5

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

Given numbers are 75, 85, 61, 15

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

Apply this formula for all numbers.

Step1:

LCM(75, 85) = 1275

GCD(75, 85) = ( 75 x 85 ) / 1275

= 75 / 85

= 75

Step2:

LCM(5, 61) = 305

GCD(5, 61) = ( 5 x 61 ) / 305

= 5 / 61

= 5

Step3:

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

= 1 / 15

= 1

So, Greatest Common Divisor of 75, 85, 61, 15 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 80, 74, 40, 47
• GCD of 86, 97, 79, 57
• GCD of 31, 33, 14, 99
• GCD of 37, 16, 82, 63
• GCD of 20, 67, 16, 14

Given numbers are 75, 85, 61, 15
The greatest common divisor of numbers 75, 85, 61, 15 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 75, 85, 61, 15 is 1.

1. What is the GCD of 75, 85, 61, 15?

GCD of given numbers 75, 85, 61, 15 is 1

2. How to calculate the greatest common divisor of 75, 85, 61, 15?

We can find the highest common divisor of 75, 85, 61, 15 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 75, 85, 61, 15 i.e 1.

3. How can I use the GCD of 75, 85, 61, 15Calculator?

Out the numbers 75, 85, 61, 15 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.