GCD of 325, 985, 75, 690 Calculator

Given Input numbers are 325, 985, 75, 690

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

Divisors of 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

Divisors of 985 :

The positive integer divisors of 985 that completely divides 985 are.

1, 5, 197, 985

Divisors of 75 :

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

1, 3, 5, 15, 25, 75

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

GCD of numbers is the greatest common divisor

So, the GCD (325, 985, 75, 690) = 5.

Given numbers are 325, 985, 75, 690

The list of prime factors of all numbers are

Prime factors of 325 are 5 x 5 x 13

Prime factors of 985 are 5 x 197

Prime factors of 75 are 3 x 5 x 5

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

The highest common occurrence is 5¹

Therefore, GCD of 325, 985, 75, 690 is 5.

Given numbers are 325, 985, 75, 690

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

Apply this formula for all numbers.

Step1:

LCM(325, 985) = 64025

GCD(325, 985) = ( 325 x 985 ) / 64025

= 325 / 985

= 325

Step2:

LCM(5, 75) = 75

GCD(5, 75) = ( 5 x 75 ) / 75

= 5 / 75

= 5

Step3:

LCM(5, 690) = 690

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

= 5 / 690

= 5

So, Greatest Common Divisor of 325, 985, 75, 690 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 776, 466, 47, 841
• GCD of 245, 453, 81, 173
• GCD of 195, 984, 49, 142
• GCD of 376, 924, 70, 844
• GCD of 999, 255, 53, 495

Given numbers are 325, 985, 75, 690
The greatest common divisor of numbers 325, 985, 75, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 325, 985, 75, 690 is 5.

1. What is the GCD of 325, 985, 75, 690?

GCD of given numbers 325, 985, 75, 690 is 5

2. How to calculate the greatest common divisor of 325, 985, 75, 690?

We can find the highest common divisor of 325, 985, 75, 690 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 325, 985, 75, 690 i.e 5.

3. How can I use the GCD of 325, 985, 75, 690Calculator?

Out the numbers 325, 985, 75, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.