GCD of 105, 308, 688, 340 Calculator

Given Input numbers are 105, 308, 688, 340

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

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 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

GCD of numbers is the greatest common divisor

So, the GCD (105, 308, 688, 340) = 1.

Given numbers are 105, 308, 688, 340

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

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

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 340 are 2 x 2 x 5 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 105, 308, 688, 340

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

Apply this formula for all numbers.

Step1:

LCM(105, 308) = 4620

GCD(105, 308) = ( 105 x 308 ) / 4620

= 105 / 308

= 105

Step2:

LCM(7, 688) = 4816

GCD(7, 688) = ( 7 x 688 ) / 4816

= 7 / 688

= 7

Step3:

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

= 1 / 340

= 1

So, Greatest Common Divisor of 105, 308, 688, 340 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 567, 637, 970, 705
• GCD of 973, 866, 735, 621
• GCD of 309, 322, 464, 792
• GCD of 914, 148, 209, 661
• GCD of 543, 526, 502, 200

Given numbers are 105, 308, 688, 340
The greatest common divisor of numbers 105, 308, 688, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 308, 688, 340 is 1.

1. What is the GCD of 105, 308, 688, 340?

GCD of given numbers 105, 308, 688, 340 is 1

2. How to calculate the greatest common divisor of 105, 308, 688, 340?

We can find the highest common divisor of 105, 308, 688, 340 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 105, 308, 688, 340 i.e 1.

3. How can I use the GCD of 105, 308, 688, 340Calculator?

Out the numbers 105, 308, 688, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.