GCD of 308, 696, 348, 970 Calculator

Given Input numbers are 308, 696, 348, 970

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

GCD of numbers is the greatest common divisor

So, the GCD (308, 696, 348, 970) = 2.

Given numbers are 308, 696, 348, 970

The list of prime factors of all numbers are

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

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

Prime factors of 970 are 2 x 5 x 97

The highest common occurrence is 2¹

Therefore, GCD of 308, 696, 348, 970 is 2.

Given numbers are 308, 696, 348, 970

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

Apply this formula for all numbers.

Step1:

LCM(308, 696) = 53592

GCD(308, 696) = ( 308 x 696 ) / 53592

= 308 / 696

= 308

Step2:

LCM(4, 348) = 348

GCD(4, 348) = ( 4 x 348 ) / 348

= 4 / 348

= 4

Step3:

LCM(4, 970) = 1940

GCD(4, 970) = ( 4 x 970 ) / 1940

= 4 / 970

= 4

So, Greatest Common Divisor of 308, 696, 348, 970 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 169, 573, 627, 902
• GCD of 423, 803, 675, 976
• GCD of 760, 229, 451, 272
• GCD of 415, 696, 145, 114
• GCD of 933, 105, 526, 822

Given numbers are 308, 696, 348, 970
The greatest common divisor of numbers 308, 696, 348, 970 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 696, 348, 970 is 2.

1. What is the GCD of 308, 696, 348, 970?

GCD of given numbers 308, 696, 348, 970 is 2

2. How to calculate the greatest common divisor of 308, 696, 348, 970?

We can find the highest common divisor of 308, 696, 348, 970 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 308, 696, 348, 970 i.e 2.

3. How can I use the GCD of 308, 696, 348, 970Calculator?

Out the numbers 308, 696, 348, 970 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.