GCD of 802, 748, 559, 381 Calculator

Given Input numbers are 802, 748, 559, 381

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

Divisors of 802 :

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

1, 2, 401, 802

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 559 :

The positive integer divisors of 559 that completely divides 559 are.

1, 13, 43, 559

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

GCD of numbers is the greatest common divisor

So, the GCD (802, 748, 559, 381) = 1.

Given numbers are 802, 748, 559, 381

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

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

Prime factors of 559 are 13 x 43

Prime factors of 381 are 3 x 127

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

Given numbers are 802, 748, 559, 381

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

Apply this formula for all numbers.

Step1:

LCM(802, 748) = 299948

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

= 802 / 748

= 802

Step2:

LCM(2, 559) = 1118

GCD(2, 559) = ( 2 x 559 ) / 1118

= 2 / 559

= 2

Step3:

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

= 1 / 381

= 1

So, Greatest Common Divisor of 802, 748, 559, 381 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 882, 744, 427, 518
• GCD of 308, 118, 242, 768
• GCD of 397, 774, 318, 311
• GCD of 818, 145, 259, 773
• GCD of 951, 307, 490, 251

Given numbers are 802, 748, 559, 381
The greatest common divisor of numbers 802, 748, 559, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 748, 559, 381 is 1.

1. What is the GCD of 802, 748, 559, 381?

GCD of given numbers 802, 748, 559, 381 is 1

2. How to calculate the greatest common divisor of 802, 748, 559, 381?

We can find the highest common divisor of 802, 748, 559, 381 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 802, 748, 559, 381 i.e 1.

3. How can I use the GCD of 802, 748, 559, 381Calculator?

Out the numbers 802, 748, 559, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.