GCD of 918, 816, 758, 160 Calculator

Given Input numbers are 918, 816, 758, 160

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

GCD of numbers is the greatest common divisor

So, the GCD (918, 816, 758, 160) = 2.

Given numbers are 918, 816, 758, 160

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 758 are 2 x 379

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 918, 816, 758, 160 is 2.

Given numbers are 918, 816, 758, 160

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

Apply this formula for all numbers.

Step1:

LCM(918, 816) = 7344

GCD(918, 816) = ( 918 x 816 ) / 7344

= 918 / 816

= 918

Step2:

LCM(102, 758) = 38658

GCD(102, 758) = ( 102 x 758 ) / 38658

= 102 / 758

= 102

Step3:

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

= 2 / 160

= 2

So, Greatest Common Divisor of 918, 816, 758, 160 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 287, 751, 386, 404
• GCD of 426, 470, 950, 877
• GCD of 693, 196, 902, 783
• GCD of 300, 854, 292, 958
• GCD of 642, 675, 807, 325

Given numbers are 918, 816, 758, 160
The greatest common divisor of numbers 918, 816, 758, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 816, 758, 160 is 2.

1. What is the GCD of 918, 816, 758, 160?

GCD of given numbers 918, 816, 758, 160 is 2

2. How to calculate the greatest common divisor of 918, 816, 758, 160?

We can find the highest common divisor of 918, 816, 758, 160 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 918, 816, 758, 160 i.e 2.

3. How can I use the GCD of 918, 816, 758, 160Calculator?

Out the numbers 918, 816, 758, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.