GCD of 802, 658, 254, 689 Calculator

Given Input numbers are 802, 658, 254, 689

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 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (802, 658, 254, 689) = 1.

Given numbers are 802, 658, 254, 689

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

Prime factors of 658 are 2 x 7 x 47

Prime factors of 254 are 2 x 127

Prime factors of 689 are 13 x 53

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

Given numbers are 802, 658, 254, 689

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

Apply this formula for all numbers.

Step1:

LCM(802, 658) = 263858

GCD(802, 658) = ( 802 x 658 ) / 263858

= 802 / 658

= 802

Step2:

LCM(2, 254) = 254

GCD(2, 254) = ( 2 x 254 ) / 254

= 2 / 254

= 2

Step3:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2

So, Greatest Common Divisor of 802, 658, 254, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 277, 891, 811, 439
• GCD of 662, 172, 676, 120
• GCD of 891, 758, 904, 872
• GCD of 399, 891, 638, 985
• GCD of 282, 409, 912, 742

Given numbers are 802, 658, 254, 689
The greatest common divisor of numbers 802, 658, 254, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 658, 254, 689 is 1.

1. What is the GCD of 802, 658, 254, 689?

GCD of given numbers 802, 658, 254, 689 is 1

2. How to calculate the greatest common divisor of 802, 658, 254, 689?

We can find the highest common divisor of 802, 658, 254, 689 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, 658, 254, 689 i.e 1.

3. How can I use the GCD of 802, 658, 254, 689Calculator?

Out the numbers 802, 658, 254, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.