GCD of 654, 891, 114, 708 Calculator

Given Input numbers are 654, 891, 114, 708

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

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 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

GCD of numbers is the greatest common divisor

So, the GCD (654, 891, 114, 708) = 3.

Given numbers are 654, 891, 114, 708

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

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

Prime factors of 114 are 2 x 3 x 19

Prime factors of 708 are 2 x 2 x 3 x 59

The highest common occurrence is 3¹

Therefore, GCD of 654, 891, 114, 708 is 3.

Given numbers are 654, 891, 114, 708

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

Apply this formula for all numbers.

Step1:

LCM(654, 891) = 194238

GCD(654, 891) = ( 654 x 891 ) / 194238

= 654 / 891

= 654

Step2:

LCM(3, 114) = 114

GCD(3, 114) = ( 3 x 114 ) / 114

= 3 / 114

= 3

Step3:

LCM(3, 708) = 708

GCD(3, 708) = ( 3 x 708 ) / 708

= 3 / 708

= 3

So, Greatest Common Divisor of 654, 891, 114, 708 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 378, 946, 343
• GCD of 387, 799, 178, 582
• GCD of 301, 174, 587, 714
• GCD of 400, 938, 375, 499
• GCD of 510, 293, 709, 296

Given numbers are 654, 891, 114, 708
The greatest common divisor of numbers 654, 891, 114, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 891, 114, 708 is 3.

1. What is the GCD of 654, 891, 114, 708?

GCD of given numbers 654, 891, 114, 708 is 3

2. How to calculate the greatest common divisor of 654, 891, 114, 708?

We can find the highest common divisor of 654, 891, 114, 708 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 654, 891, 114, 708 i.e 3.

3. How can I use the GCD of 654, 891, 114, 708Calculator?

Out the numbers 654, 891, 114, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.