GCD of 354, 828, 648, 684 Calculator

Given Input numbers are 354, 828, 648, 684

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (354, 828, 648, 684) = 6.

Given numbers are 354, 828, 648, 684

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 354, 828, 648, 684 is 6.

Given numbers are 354, 828, 648, 684

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

Apply this formula for all numbers.

Step1:

LCM(354, 828) = 48852

GCD(354, 828) = ( 354 x 828 ) / 48852

= 354 / 828

= 354

Step2:

LCM(6, 648) = 648

GCD(6, 648) = ( 6 x 648 ) / 648

= 6 / 648

= 6

Step3:

LCM(6, 684) = 684

GCD(6, 684) = ( 6 x 684 ) / 684

= 6 / 684

= 6

So, Greatest Common Divisor of 354, 828, 648, 684 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 257, 337, 119, 104
• GCD of 144, 645, 260, 231
• GCD of 507, 943, 502, 249
• GCD of 923, 252, 821, 142
• GCD of 563, 545, 844, 653

Given numbers are 354, 828, 648, 684
The greatest common divisor of numbers 354, 828, 648, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 828, 648, 684 is 6.

1. What is the GCD of 354, 828, 648, 684?

GCD of given numbers 354, 828, 648, 684 is 6

2. How to calculate the greatest common divisor of 354, 828, 648, 684?

We can find the highest common divisor of 354, 828, 648, 684 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 354, 828, 648, 684 i.e 6.

3. How can I use the GCD of 354, 828, 648, 684Calculator?

Out the numbers 354, 828, 648, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.