GCD of 975, 505, 90, 540 Calculator

Given Input numbers are 975, 505, 90, 540

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

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

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

GCD of numbers is the greatest common divisor

So, the GCD (975, 505, 90, 540) = 5.

Given numbers are 975, 505, 90, 540

The list of prime factors of all numbers are

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

Prime factors of 505 are 5 x 101

Prime factors of 90 are 2 x 3 x 3 x 5

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

The highest common occurrence is 5¹

Therefore, GCD of 975, 505, 90, 540 is 5.

Given numbers are 975, 505, 90, 540

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

Apply this formula for all numbers.

Step1:

LCM(975, 505) = 98475

GCD(975, 505) = ( 975 x 505 ) / 98475

= 975 / 505

= 975

Step2:

LCM(5, 90) = 90

GCD(5, 90) = ( 5 x 90 ) / 90

= 5 / 90

= 5

Step3:

LCM(5, 540) = 540

GCD(5, 540) = ( 5 x 540 ) / 540

= 5 / 540

= 5

So, Greatest Common Divisor of 975, 505, 90, 540 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 471, 491, 33, 346
• GCD of 567, 562, 96, 791
• GCD of 916, 912, 13, 812
• GCD of 272, 569, 39, 306
• GCD of 555, 228, 98, 426

Given numbers are 975, 505, 90, 540
The greatest common divisor of numbers 975, 505, 90, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 505, 90, 540 is 5.

1. What is the GCD of 975, 505, 90, 540?

GCD of given numbers 975, 505, 90, 540 is 5

2. How to calculate the greatest common divisor of 975, 505, 90, 540?

We can find the highest common divisor of 975, 505, 90, 540 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 975, 505, 90, 540 i.e 5.

3. How can I use the GCD of 975, 505, 90, 540Calculator?

Out the numbers 975, 505, 90, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.