GCD of 302, 274, 676, 360 Calculator

Given Input numbers are 302, 274, 676, 360

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

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (302, 274, 676, 360) = 2.

Given numbers are 302, 274, 676, 360

The list of prime factors of all numbers are

Prime factors of 302 are 2 x 151

Prime factors of 274 are 2 x 137

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

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 302, 274, 676, 360 is 2.

Given numbers are 302, 274, 676, 360

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

Apply this formula for all numbers.

Step1:

LCM(302, 274) = 41374

GCD(302, 274) = ( 302 x 274 ) / 41374

= 302 / 274

= 302

Step2:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

Step3:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

So, Greatest Common Divisor of 302, 274, 676, 360 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 546, 329, 388, 920
• GCD of 342, 613, 530, 711
• GCD of 136, 902, 302, 432
• GCD of 723, 741, 269, 344
• GCD of 273, 784, 139, 590

Given numbers are 302, 274, 676, 360
The greatest common divisor of numbers 302, 274, 676, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 302, 274, 676, 360 is 2.

1. What is the GCD of 302, 274, 676, 360?

GCD of given numbers 302, 274, 676, 360 is 2

2. How to calculate the greatest common divisor of 302, 274, 676, 360?

We can find the highest common divisor of 302, 274, 676, 360 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 302, 274, 676, 360 i.e 2.

3. How can I use the GCD of 302, 274, 676, 360Calculator?

Out the numbers 302, 274, 676, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.