GCD of 268, 678, 340, 867 Calculator

Given Input numbers are 268, 678, 340, 867

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

Divisors of 268 :

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

1, 2, 4, 67, 134, 268

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

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

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

GCD of numbers is the greatest common divisor

So, the GCD (268, 678, 340, 867) = 1.

Given numbers are 268, 678, 340, 867

The list of prime factors of all numbers are

Prime factors of 268 are 2 x 2 x 67

Prime factors of 678 are 2 x 3 x 113

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

Prime factors of 867 are 3 x 17 x 17

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

Given numbers are 268, 678, 340, 867

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

Apply this formula for all numbers.

Step1:

LCM(268, 678) = 90852

GCD(268, 678) = ( 268 x 678 ) / 90852

= 268 / 678

= 268

Step2:

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

= 2 / 340

= 2

Step3:

LCM(2, 867) = 1734

GCD(2, 867) = ( 2 x 867 ) / 1734

= 2 / 867

= 2

So, Greatest Common Divisor of 268, 678, 340, 867 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 534, 171, 150, 208
• GCD of 359, 958, 105, 766
• GCD of 706, 643, 190, 341
• GCD of 704, 228, 597, 656
• GCD of 841, 276, 322, 486

Given numbers are 268, 678, 340, 867
The greatest common divisor of numbers 268, 678, 340, 867 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 678, 340, 867 is 1.

1. What is the GCD of 268, 678, 340, 867?

GCD of given numbers 268, 678, 340, 867 is 1

2. How to calculate the greatest common divisor of 268, 678, 340, 867?

We can find the highest common divisor of 268, 678, 340, 867 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 268, 678, 340, 867 i.e 1.

3. How can I use the GCD of 268, 678, 340, 867Calculator?

Out the numbers 268, 678, 340, 867 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.