GCD of 108, 465, 35, 528 Calculator

Given Input numbers are 108, 465, 35, 528

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 35 :

The positive integer divisors of 35 that completely divides 35 are.

1, 5, 7, 35

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

GCD of numbers is the greatest common divisor

So, the GCD (108, 465, 35, 528) = 1.

Given numbers are 108, 465, 35, 528

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 465 are 3 x 5 x 31

Prime factors of 35 are 5 x 7

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

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

Given numbers are 108, 465, 35, 528

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

Apply this formula for all numbers.

Step1:

LCM(108, 465) = 16740

GCD(108, 465) = ( 108 x 465 ) / 16740

= 108 / 465

= 108

Step2:

LCM(3, 35) = 105

GCD(3, 35) = ( 3 x 35 ) / 105

= 3 / 35

= 3

Step3:

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

= 1 / 528

= 1

So, Greatest Common Divisor of 108, 465, 35, 528 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 504, 18, 154
• GCD of 780, 931, 21, 536
• GCD of 177, 336, 43, 993
• GCD of 837, 134, 50, 898
• GCD of 749, 196, 67, 260

Given numbers are 108, 465, 35, 528
The greatest common divisor of numbers 108, 465, 35, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 465, 35, 528 is 1.

1. What is the GCD of 108, 465, 35, 528?

GCD of given numbers 108, 465, 35, 528 is 1

2. How to calculate the greatest common divisor of 108, 465, 35, 528?

We can find the highest common divisor of 108, 465, 35, 528 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 108, 465, 35, 528 i.e 1.

3. How can I use the GCD of 108, 465, 35, 528Calculator?

Out the numbers 108, 465, 35, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.