GCD of 540, 472, 962, 680 Calculator

Given Input numbers are 540, 472, 962, 680

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

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (540, 472, 962, 680) = 2.

Given numbers are 540, 472, 962, 680

The list of prime factors of all numbers are

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

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 962 are 2 x 13 x 37

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 540, 472, 962, 680 is 2.

Given numbers are 540, 472, 962, 680

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

Apply this formula for all numbers.

Step1:

LCM(540, 472) = 63720

GCD(540, 472) = ( 540 x 472 ) / 63720

= 540 / 472

= 540

Step2:

LCM(4, 962) = 1924

GCD(4, 962) = ( 4 x 962 ) / 1924

= 4 / 962

= 4

Step3:

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

= 2 / 680

= 2

So, Greatest Common Divisor of 540, 472, 962, 680 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 823, 634, 562, 667
• GCD of 133, 489, 585, 221
• GCD of 912, 303, 875, 697
• GCD of 894, 943, 201, 267
• GCD of 845, 844, 735, 180

Given numbers are 540, 472, 962, 680
The greatest common divisor of numbers 540, 472, 962, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 472, 962, 680 is 2.

1. What is the GCD of 540, 472, 962, 680?

GCD of given numbers 540, 472, 962, 680 is 2

2. How to calculate the greatest common divisor of 540, 472, 962, 680?

We can find the highest common divisor of 540, 472, 962, 680 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 540, 472, 962, 680 i.e 2.

3. How can I use the GCD of 540, 472, 962, 680Calculator?

Out the numbers 540, 472, 962, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.