GCD of 676, 986, 158, 270 Calculator

Given Input numbers are 676, 986, 158, 270

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 158 :

The positive integer divisors of 158 that completely divides 158 are.

1, 2, 79, 158

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (676, 986, 158, 270) = 2.

Given numbers are 676, 986, 158, 270

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 986 are 2 x 17 x 29

Prime factors of 158 are 2 x 79

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 676, 986, 158, 270 is 2.

Given numbers are 676, 986, 158, 270

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

Apply this formula for all numbers.

Step1:

LCM(676, 986) = 333268

GCD(676, 986) = ( 676 x 986 ) / 333268

= 676 / 986

= 676

Step2:

LCM(2, 158) = 158

GCD(2, 158) = ( 2 x 158 ) / 158

= 2 / 158

= 2

Step3:

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

= 2 / 270

= 2

So, Greatest Common Divisor of 676, 986, 158, 270 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 886, 688, 911
• GCD of 434, 423, 165, 144
• GCD of 230, 360, 646, 132
• GCD of 631, 738, 245, 278
• GCD of 587, 474, 269, 854

Given numbers are 676, 986, 158, 270
The greatest common divisor of numbers 676, 986, 158, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 986, 158, 270 is 2.

1. What is the GCD of 676, 986, 158, 270?

GCD of given numbers 676, 986, 158, 270 is 2

2. How to calculate the greatest common divisor of 676, 986, 158, 270?

We can find the highest common divisor of 676, 986, 158, 270 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 676, 986, 158, 270 i.e 2.

3. How can I use the GCD of 676, 986, 158, 270Calculator?

Out the numbers 676, 986, 158, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.