GCD of 748, 802, 116, 617 Calculator

Given Input numbers are 748, 802, 116, 617

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 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 617 :

The positive integer divisors of 617 that completely divides 617 are.

1, 617

GCD of numbers is the greatest common divisor

So, the GCD (748, 802, 116, 617) = 1.

Given numbers are 748, 802, 116, 617

The list of prime factors of all numbers are

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

Prime factors of 802 are 2 x 401

Prime factors of 116 are 2 x 2 x 29

Prime factors of 617 are 617

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

Given numbers are 748, 802, 116, 617

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

Apply this formula for all numbers.

Step1:

LCM(748, 802) = 299948

GCD(748, 802) = ( 748 x 802 ) / 299948

= 748 / 802

= 748

Step2:

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

= 2 / 116

= 2

Step3:

LCM(2, 617) = 1234

GCD(2, 617) = ( 2 x 617 ) / 1234

= 2 / 617

= 2

So, Greatest Common Divisor of 748, 802, 116, 617 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 119, 727, 664
• GCD of 858, 646, 921, 854
• GCD of 398, 622, 169, 908
• GCD of 302, 798, 898, 351
• GCD of 460, 850, 844, 121

Given numbers are 748, 802, 116, 617
The greatest common divisor of numbers 748, 802, 116, 617 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 802, 116, 617 is 1.

1. What is the GCD of 748, 802, 116, 617?

GCD of given numbers 748, 802, 116, 617 is 1

2. How to calculate the greatest common divisor of 748, 802, 116, 617?

We can find the highest common divisor of 748, 802, 116, 617 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, 802, 116, 617 i.e 1.

3. How can I use the GCD of 748, 802, 116, 617Calculator?

Out the numbers 748, 802, 116, 617 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.