GCD of 802, 208, 68, 749 Calculator

Given Input numbers are 802, 208, 68, 749

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 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 68 :

The positive integer divisors of 68 that completely divides 68 are.

1, 2, 4, 17, 34, 68

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (802, 208, 68, 749) = 1.

Given numbers are 802, 208, 68, 749

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 68 are 2 x 2 x 17

Prime factors of 749 are 7 x 107

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

Given numbers are 802, 208, 68, 749

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

Apply this formula for all numbers.

Step1:

LCM(802, 208) = 83408

GCD(802, 208) = ( 802 x 208 ) / 83408

= 802 / 208

= 802

Step2:

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

= 2 / 68

= 2

Step3:

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

= 2 / 749

= 2

So, Greatest Common Divisor of 802, 208, 68, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 359, 41, 172
• GCD of 816, 235, 72, 209
• GCD of 599, 698, 26, 769
• GCD of 518, 148, 62, 236
• GCD of 889, 746, 65, 921

Given numbers are 802, 208, 68, 749
The greatest common divisor of numbers 802, 208, 68, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 208, 68, 749 is 1.

1. What is the GCD of 802, 208, 68, 749?

GCD of given numbers 802, 208, 68, 749 is 1

2. How to calculate the greatest common divisor of 802, 208, 68, 749?

We can find the highest common divisor of 802, 208, 68, 749 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, 208, 68, 749 i.e 1.

3. How can I use the GCD of 802, 208, 68, 749Calculator?

Out the numbers 802, 208, 68, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.