GCD of 796, 254, 300, 348 Calculator

Given Input numbers are 796, 254, 300, 348

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

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 254 :

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

1, 2, 127, 254

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (796, 254, 300, 348) = 2.

Given numbers are 796, 254, 300, 348

The list of prime factors of all numbers are

Prime factors of 796 are 2 x 2 x 199

Prime factors of 254 are 2 x 127

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 348 are 2 x 2 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 796, 254, 300, 348 is 2.

Given numbers are 796, 254, 300, 348

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

Apply this formula for all numbers.

Step1:

LCM(796, 254) = 101092

GCD(796, 254) = ( 796 x 254 ) / 101092

= 796 / 254

= 796

Step2:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

Step3:

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

= 2 / 348

= 2

So, Greatest Common Divisor of 796, 254, 300, 348 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 254, 270, 497
• GCD of 501, 208, 732, 219
• GCD of 391, 646, 797, 518
• GCD of 470, 139, 145, 999
• GCD of 388, 352, 578, 518

Given numbers are 796, 254, 300, 348
The greatest common divisor of numbers 796, 254, 300, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 796, 254, 300, 348 is 2.

1. What is the GCD of 796, 254, 300, 348?

GCD of given numbers 796, 254, 300, 348 is 2

2. How to calculate the greatest common divisor of 796, 254, 300, 348?

We can find the highest common divisor of 796, 254, 300, 348 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 796, 254, 300, 348 i.e 2.

3. How can I use the GCD of 796, 254, 300, 348Calculator?

Out the numbers 796, 254, 300, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.