GCD of 528, 498, 765, 975 Calculator

Given Input numbers are 528, 498, 765, 975

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

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

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

GCD of numbers is the greatest common divisor

So, the GCD (528, 498, 765, 975) = 3.

Given numbers are 528, 498, 765, 975

The list of prime factors of all numbers are

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

Prime factors of 498 are 2 x 3 x 83

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 975 are 3 x 5 x 5 x 13

The highest common occurrence is 3¹

Therefore, GCD of 528, 498, 765, 975 is 3.

Given numbers are 528, 498, 765, 975

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

Apply this formula for all numbers.

Step1:

LCM(528, 498) = 43824

GCD(528, 498) = ( 528 x 498 ) / 43824

= 528 / 498

= 528

Step2:

LCM(6, 765) = 1530

GCD(6, 765) = ( 6 x 765 ) / 1530

= 6 / 765

= 6

Step3:

LCM(3, 975) = 975

GCD(3, 975) = ( 3 x 975 ) / 975

= 3 / 975

= 3

So, Greatest Common Divisor of 528, 498, 765, 975 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 453, 540, 472
• GCD of 630, 799, 343, 269
• GCD of 131, 453, 629, 680
• GCD of 192, 230, 751, 267
• GCD of 546, 541, 535, 124

Given numbers are 528, 498, 765, 975
The greatest common divisor of numbers 528, 498, 765, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 498, 765, 975 is 3.

1. What is the GCD of 528, 498, 765, 975?

GCD of given numbers 528, 498, 765, 975 is 3

2. How to calculate the greatest common divisor of 528, 498, 765, 975?

We can find the highest common divisor of 528, 498, 765, 975 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 528, 498, 765, 975 i.e 3.

3. How can I use the GCD of 528, 498, 765, 975Calculator?

Out the numbers 528, 498, 765, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.