GCD of 728, 708, 748, 707 Calculator

Given Input numbers are 728, 708, 748, 707

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

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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 707 :

The positive integer divisors of 707 that completely divides 707 are.

1, 7, 101, 707

GCD of numbers is the greatest common divisor

So, the GCD (728, 708, 748, 707) = 1.

Given numbers are 728, 708, 748, 707

The list of prime factors of all numbers are

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 708 are 2 x 2 x 3 x 59

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

Prime factors of 707 are 7 x 101

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

Given numbers are 728, 708, 748, 707

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

Apply this formula for all numbers.

Step1:

LCM(728, 708) = 128856

GCD(728, 708) = ( 728 x 708 ) / 128856

= 728 / 708

= 728

Step2:

LCM(4, 748) = 748

GCD(4, 748) = ( 4 x 748 ) / 748

= 4 / 748

= 4

Step3:

LCM(4, 707) = 2828

GCD(4, 707) = ( 4 x 707 ) / 2828

= 4 / 707

= 4

So, Greatest Common Divisor of 728, 708, 748, 707 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 373, 259, 470, 929
• GCD of 204, 364, 296, 316
• GCD of 993, 552, 413, 592
• GCD of 533, 207, 393, 471
• GCD of 838, 710, 187, 680

Given numbers are 728, 708, 748, 707
The greatest common divisor of numbers 728, 708, 748, 707 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 708, 748, 707 is 1.

1. What is the GCD of 728, 708, 748, 707?

GCD of given numbers 728, 708, 748, 707 is 1

2. How to calculate the greatest common divisor of 728, 708, 748, 707?

We can find the highest common divisor of 728, 708, 748, 707 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 728, 708, 748, 707 i.e 1.

3. How can I use the GCD of 728, 708, 748, 707Calculator?

Out the numbers 728, 708, 748, 707 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.