GCD of 508, 268, 774, 302 Calculator

Given Input numbers are 508, 268, 774, 302

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 302 :

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

1, 2, 151, 302

GCD of numbers is the greatest common divisor

So, the GCD (508, 268, 774, 302) = 2.

Given numbers are 508, 268, 774, 302

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 268 are 2 x 2 x 67

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 302 are 2 x 151

The highest common occurrence is 2¹

Therefore, GCD of 508, 268, 774, 302 is 2.

Given numbers are 508, 268, 774, 302

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

Apply this formula for all numbers.

Step1:

LCM(508, 268) = 34036

GCD(508, 268) = ( 508 x 268 ) / 34036

= 508 / 268

= 508

Step2:

LCM(4, 774) = 1548

GCD(4, 774) = ( 4 x 774 ) / 1548

= 4 / 774

= 4

Step3:

LCM(2, 302) = 302

GCD(2, 302) = ( 2 x 302 ) / 302

= 2 / 302

= 2

So, Greatest Common Divisor of 508, 268, 774, 302 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 312, 385, 709, 478
• GCD of 434, 561, 846, 108
• GCD of 260, 611, 329, 962
• GCD of 518, 305, 398, 368
• GCD of 751, 512, 139, 672

Given numbers are 508, 268, 774, 302
The greatest common divisor of numbers 508, 268, 774, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 268, 774, 302 is 2.

1. What is the GCD of 508, 268, 774, 302?

GCD of given numbers 508, 268, 774, 302 is 2

2. How to calculate the greatest common divisor of 508, 268, 774, 302?

We can find the highest common divisor of 508, 268, 774, 302 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 508, 268, 774, 302 i.e 2.

3. How can I use the GCD of 508, 268, 774, 302Calculator?

Out the numbers 508, 268, 774, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.