GCD of 730, 748, 421, 540 Calculator

Given Input numbers are 730, 748, 421, 540

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

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

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 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

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 (730, 748, 421, 540) = 1.

Given numbers are 730, 748, 421, 540

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

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

Prime factors of 421 are 421

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 730, 748, 421, 540

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

Apply this formula for all numbers.

Step1:

LCM(730, 748) = 273020

GCD(730, 748) = ( 730 x 748 ) / 273020

= 730 / 748

= 730

Step2:

LCM(2, 421) = 842

GCD(2, 421) = ( 2 x 421 ) / 842

= 2 / 421

= 2

Step3:

LCM(1, 540) = 540

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

= 1 / 540

= 1

So, Greatest Common Divisor of 730, 748, 421, 540 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 635, 543, 942
• GCD of 398, 601, 633, 990
• GCD of 218, 856, 344, 453
• GCD of 859, 376, 918, 192
• GCD of 269, 958, 526, 783

Given numbers are 730, 748, 421, 540
The greatest common divisor of numbers 730, 748, 421, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 748, 421, 540 is 1.

1. What is the GCD of 730, 748, 421, 540?

GCD of given numbers 730, 748, 421, 540 is 1

2. How to calculate the greatest common divisor of 730, 748, 421, 540?

We can find the highest common divisor of 730, 748, 421, 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 730, 748, 421, 540 i.e 1.

3. How can I use the GCD of 730, 748, 421, 540Calculator?

Out the numbers 730, 748, 421, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.