GCD of 748, 472, 831, 540 Calculator

Given Input numbers are 748, 472, 831, 540

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 472 :

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

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

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

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 (748, 472, 831, 540) = 1.

Given numbers are 748, 472, 831, 540

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

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

Prime factors of 831 are 3 x 277

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

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

Given numbers are 748, 472, 831, 540

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

Apply this formula for all numbers.

Step1:

LCM(748, 472) = 88264

GCD(748, 472) = ( 748 x 472 ) / 88264

= 748 / 472

= 748

Step2:

LCM(4, 831) = 3324

GCD(4, 831) = ( 4 x 831 ) / 3324

= 4 / 831

= 4

Step3:

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

= 1 / 540

= 1

So, Greatest Common Divisor of 748, 472, 831, 540 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 263, 732, 164, 792
• GCD of 571, 798, 710, 407
• GCD of 371, 169, 158, 617
• GCD of 696, 915, 113, 719
• GCD of 698, 226, 745, 631

Given numbers are 748, 472, 831, 540
The greatest common divisor of numbers 748, 472, 831, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 472, 831, 540 is 1.

1. What is the GCD of 748, 472, 831, 540?

GCD of given numbers 748, 472, 831, 540 is 1

2. How to calculate the greatest common divisor of 748, 472, 831, 540?

We can find the highest common divisor of 748, 472, 831, 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 748, 472, 831, 540 i.e 1.

3. How can I use the GCD of 748, 472, 831, 540Calculator?

Out the numbers 748, 472, 831, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.