GCD of 748, 764, 973, 709 Calculator

Given Input numbers are 748, 764, 973, 709

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 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

GCD of numbers is the greatest common divisor

So, the GCD (748, 764, 973, 709) = 1.

Given numbers are 748, 764, 973, 709

The list of prime factors of all numbers are

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

Prime factors of 764 are 2 x 2 x 191

Prime factors of 973 are 7 x 139

Prime factors of 709 are 709

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

Given numbers are 748, 764, 973, 709

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

Apply this formula for all numbers.

Step1:

LCM(748, 764) = 142868

GCD(748, 764) = ( 748 x 764 ) / 142868

= 748 / 764

= 748

Step2:

LCM(4, 973) = 3892

GCD(4, 973) = ( 4 x 973 ) / 3892

= 4 / 973

= 4

Step3:

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

= 1 / 709

= 1

So, Greatest Common Divisor of 748, 764, 973, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 811, 148, 816, 374
• GCD of 235, 636, 548, 340
• GCD of 716, 784, 486, 846
• GCD of 318, 151, 615, 104
• GCD of 643, 250, 184, 755

Given numbers are 748, 764, 973, 709
The greatest common divisor of numbers 748, 764, 973, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 764, 973, 709 is 1.

1. What is the GCD of 748, 764, 973, 709?

GCD of given numbers 748, 764, 973, 709 is 1

2. How to calculate the greatest common divisor of 748, 764, 973, 709?

We can find the highest common divisor of 748, 764, 973, 709 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, 764, 973, 709 i.e 1.

3. How can I use the GCD of 748, 764, 973, 709Calculator?

Out the numbers 748, 764, 973, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.