GCD of 861, 735, 616, 814 Calculator

Given Input numbers are 861, 735, 616, 814

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

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

GCD of numbers is the greatest common divisor

So, the GCD (861, 735, 616, 814) = 1.

Given numbers are 861, 735, 616, 814

The list of prime factors of all numbers are

Prime factors of 861 are 3 x 7 x 41

Prime factors of 735 are 3 x 5 x 7 x 7

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

Prime factors of 814 are 2 x 11 x 37

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

Given numbers are 861, 735, 616, 814

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

Apply this formula for all numbers.

Step1:

LCM(861, 735) = 30135

GCD(861, 735) = ( 861 x 735 ) / 30135

= 861 / 735

= 861

Step2:

LCM(21, 616) = 1848

GCD(21, 616) = ( 21 x 616 ) / 1848

= 21 / 616

= 21

Step3:

LCM(7, 814) = 5698

GCD(7, 814) = ( 7 x 814 ) / 5698

= 7 / 814

= 7

So, Greatest Common Divisor of 861, 735, 616, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 567, 592, 843, 864
• GCD of 359, 425, 108, 632
• GCD of 364, 601, 720, 120
• GCD of 829, 781, 648, 321
• GCD of 212, 810, 907, 674

Given numbers are 861, 735, 616, 814
The greatest common divisor of numbers 861, 735, 616, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 735, 616, 814 is 1.

1. What is the GCD of 861, 735, 616, 814?

GCD of given numbers 861, 735, 616, 814 is 1

2. How to calculate the greatest common divisor of 861, 735, 616, 814?

We can find the highest common divisor of 861, 735, 616, 814 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 861, 735, 616, 814 i.e 1.

3. How can I use the GCD of 861, 735, 616, 814Calculator?

Out the numbers 861, 735, 616, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.