GCD of 748, 720, 240, 713 Calculator

Given Input numbers are 748, 720, 240, 713

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 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

GCD of numbers is the greatest common divisor

So, the GCD (748, 720, 240, 713) = 1.

Given numbers are 748, 720, 240, 713

The list of prime factors of all numbers are

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

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 713 are 23 x 31

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

Given numbers are 748, 720, 240, 713

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

Apply this formula for all numbers.

Step1:

LCM(748, 720) = 134640

GCD(748, 720) = ( 748 x 720 ) / 134640

= 748 / 720

= 748

Step2:

LCM(4, 240) = 240

GCD(4, 240) = ( 4 x 240 ) / 240

= 4 / 240

= 4

Step3:

LCM(4, 713) = 2852

GCD(4, 713) = ( 4 x 713 ) / 2852

= 4 / 713

= 4

So, Greatest Common Divisor of 748, 720, 240, 713 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 397, 547, 847
• GCD of 496, 248, 146, 947
• GCD of 554, 792, 102, 937
• GCD of 699, 459, 199, 627
• GCD of 734, 559, 690, 940

Given numbers are 748, 720, 240, 713
The greatest common divisor of numbers 748, 720, 240, 713 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 720, 240, 713 is 1.

1. What is the GCD of 748, 720, 240, 713?

GCD of given numbers 748, 720, 240, 713 is 1

2. How to calculate the greatest common divisor of 748, 720, 240, 713?

We can find the highest common divisor of 748, 720, 240, 713 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, 720, 240, 713 i.e 1.

3. How can I use the GCD of 748, 720, 240, 713Calculator?

Out the numbers 748, 720, 240, 713 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.