GCD of 891, 117, 409, 616 Calculator

Given Input numbers are 891, 117, 409, 616

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

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

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

GCD of numbers is the greatest common divisor

So, the GCD (891, 117, 409, 616) = 1.

Given numbers are 891, 117, 409, 616

The list of prime factors of all numbers are

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 117 are 3 x 3 x 13

Prime factors of 409 are 409

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

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

Given numbers are 891, 117, 409, 616

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

Apply this formula for all numbers.

Step1:

LCM(891, 117) = 11583

GCD(891, 117) = ( 891 x 117 ) / 11583

= 891 / 117

= 891

Step2:

LCM(9, 409) = 3681

GCD(9, 409) = ( 9 x 409 ) / 3681

= 9 / 409

= 9

Step3:

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

= 1 / 616

= 1

So, Greatest Common Divisor of 891, 117, 409, 616 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 734, 176, 565
• GCD of 498, 378, 814, 200
• GCD of 623, 192, 368, 707
• GCD of 294, 949, 543, 529
• GCD of 133, 354, 942, 715

Given numbers are 891, 117, 409, 616
The greatest common divisor of numbers 891, 117, 409, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 117, 409, 616 is 1.

1. What is the GCD of 891, 117, 409, 616?

GCD of given numbers 891, 117, 409, 616 is 1

2. How to calculate the greatest common divisor of 891, 117, 409, 616?

We can find the highest common divisor of 891, 117, 409, 616 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 891, 117, 409, 616 i.e 1.

3. How can I use the GCD of 891, 117, 409, 616Calculator?

Out the numbers 891, 117, 409, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.