GCD of 432, 548, 114, 676 Calculator

Given Input numbers are 432, 548, 114, 676

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

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 114 :

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

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (432, 548, 114, 676) = 2.

Given numbers are 432, 548, 114, 676

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 548 are 2 x 2 x 137

Prime factors of 114 are 2 x 3 x 19

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 432, 548, 114, 676 is 2.

Given numbers are 432, 548, 114, 676

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

Apply this formula for all numbers.

Step1:

LCM(432, 548) = 59184

GCD(432, 548) = ( 432 x 548 ) / 59184

= 432 / 548

= 432

Step2:

LCM(4, 114) = 228

GCD(4, 114) = ( 4 x 114 ) / 228

= 4 / 114

= 4

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 432, 548, 114, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 255, 370, 575
• GCD of 877, 792, 199, 203
• GCD of 580, 948, 418, 771
• GCD of 324, 504, 125, 528
• GCD of 682, 242, 887, 341

Given numbers are 432, 548, 114, 676
The greatest common divisor of numbers 432, 548, 114, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 548, 114, 676 is 2.

1. What is the GCD of 432, 548, 114, 676?

GCD of given numbers 432, 548, 114, 676 is 2

2. How to calculate the greatest common divisor of 432, 548, 114, 676?

We can find the highest common divisor of 432, 548, 114, 676 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 432, 548, 114, 676 i.e 2.

3. How can I use the GCD of 432, 548, 114, 676Calculator?

Out the numbers 432, 548, 114, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.