GCD of 308, 160, 772, 686 Calculator

Given Input numbers are 308, 160, 772, 686

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 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

GCD of numbers is the greatest common divisor

So, the GCD (308, 160, 772, 686) = 2.

Given numbers are 308, 160, 772, 686

The list of prime factors of all numbers are

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

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 772 are 2 x 2 x 193

Prime factors of 686 are 2 x 7 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 308, 160, 772, 686 is 2.

Given numbers are 308, 160, 772, 686

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

Apply this formula for all numbers.

Step1:

LCM(308, 160) = 12320

GCD(308, 160) = ( 308 x 160 ) / 12320

= 308 / 160

= 308

Step2:

LCM(4, 772) = 772

GCD(4, 772) = ( 4 x 772 ) / 772

= 4 / 772

= 4

Step3:

LCM(4, 686) = 1372

GCD(4, 686) = ( 4 x 686 ) / 1372

= 4 / 686

= 4

So, Greatest Common Divisor of 308, 160, 772, 686 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 548, 204, 280, 556
• GCD of 572, 148, 921, 559
• GCD of 878, 734, 689, 103
• GCD of 110, 759, 669, 482
• GCD of 647, 967, 438, 906

Given numbers are 308, 160, 772, 686
The greatest common divisor of numbers 308, 160, 772, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 160, 772, 686 is 2.

1. What is the GCD of 308, 160, 772, 686?

GCD of given numbers 308, 160, 772, 686 is 2

2. How to calculate the greatest common divisor of 308, 160, 772, 686?

We can find the highest common divisor of 308, 160, 772, 686 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, 160, 772, 686 i.e 2.

3. How can I use the GCD of 308, 160, 772, 686Calculator?

Out the numbers 308, 160, 772, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.