GCD of 854, 105, 616, 426 Calculator

Given Input numbers are 854, 105, 616, 426

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

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 105 :

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

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

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

GCD of numbers is the greatest common divisor

So, the GCD (854, 105, 616, 426) = 1.

Given numbers are 854, 105, 616, 426

The list of prime factors of all numbers are

Prime factors of 854 are 2 x 7 x 61

Prime factors of 105 are 3 x 5 x 7

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 426 are 2 x 3 x 71

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

Given numbers are 854, 105, 616, 426

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

Apply this formula for all numbers.

Step1:

LCM(854, 105) = 12810

GCD(854, 105) = ( 854 x 105 ) / 12810

= 854 / 105

= 854

Step2:

LCM(7, 616) = 616

GCD(7, 616) = ( 7 x 616 ) / 616

= 7 / 616

= 7

Step3:

LCM(7, 426) = 2982

GCD(7, 426) = ( 7 x 426 ) / 2982

= 7 / 426

= 7

So, Greatest Common Divisor of 854, 105, 616, 426 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 149, 759, 597
• GCD of 200, 996, 240, 936
• GCD of 445, 353, 617, 617
• GCD of 538, 423, 676, 398
• GCD of 281, 710, 587, 626

Given numbers are 854, 105, 616, 426
The greatest common divisor of numbers 854, 105, 616, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 854, 105, 616, 426 is 1.

1. What is the GCD of 854, 105, 616, 426?

GCD of given numbers 854, 105, 616, 426 is 1

2. How to calculate the greatest common divisor of 854, 105, 616, 426?

We can find the highest common divisor of 854, 105, 616, 426 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 854, 105, 616, 426 i.e 1.

3. How can I use the GCD of 854, 105, 616, 426Calculator?

Out the numbers 854, 105, 616, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.