GCD of 117, 840, 546, 318 Calculator

Given Input numbers are 117, 840, 546, 318

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

Divisors of 117 :

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

1, 3, 9, 13, 39, 117

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

GCD of numbers is the greatest common divisor

So, the GCD (117, 840, 546, 318) = 3.

Given numbers are 117, 840, 546, 318

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 318 are 2 x 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 117, 840, 546, 318 is 3.

Given numbers are 117, 840, 546, 318

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

Apply this formula for all numbers.

Step1:

LCM(117, 840) = 32760

GCD(117, 840) = ( 117 x 840 ) / 32760

= 117 / 840

= 117

Step2:

LCM(3, 546) = 546

GCD(3, 546) = ( 3 x 546 ) / 546

= 3 / 546

= 3

Step3:

LCM(3, 318) = 318

GCD(3, 318) = ( 3 x 318 ) / 318

= 3 / 318

= 3

So, Greatest Common Divisor of 117, 840, 546, 318 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 823, 957, 412, 119
• GCD of 314, 261, 350, 713
• GCD of 142, 144, 857, 518
• GCD of 703, 617, 265, 598
• GCD of 697, 533, 321, 773

Given numbers are 117, 840, 546, 318
The greatest common divisor of numbers 117, 840, 546, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 840, 546, 318 is 3.

1. What is the GCD of 117, 840, 546, 318?

GCD of given numbers 117, 840, 546, 318 is 3

2. How to calculate the greatest common divisor of 117, 840, 546, 318?

We can find the highest common divisor of 117, 840, 546, 318 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 117, 840, 546, 318 i.e 3.

3. How can I use the GCD of 117, 840, 546, 318Calculator?

Out the numbers 117, 840, 546, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.