GCD of 546, 448, 772, 788 Calculator

Given Input numbers are 546, 448, 772, 788

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

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 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

GCD of numbers is the greatest common divisor

So, the GCD (546, 448, 772, 788) = 2.

Given numbers are 546, 448, 772, 788

The list of prime factors of all numbers are

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

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 772 are 2 x 2 x 193

Prime factors of 788 are 2 x 2 x 197

The highest common occurrence is 2¹

Therefore, GCD of 546, 448, 772, 788 is 2.

Given numbers are 546, 448, 772, 788

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

Apply this formula for all numbers.

Step1:

LCM(546, 448) = 17472

GCD(546, 448) = ( 546 x 448 ) / 17472

= 546 / 448

= 546

Step2:

LCM(14, 772) = 5404

GCD(14, 772) = ( 14 x 772 ) / 5404

= 14 / 772

= 14

Step3:

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

= 2 / 788

= 2

So, Greatest Common Divisor of 546, 448, 772, 788 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 148, 139, 444
• GCD of 203, 249, 990, 899
• GCD of 704, 507, 543, 488
• GCD of 997, 690, 315, 406
• GCD of 725, 930, 591, 888

Given numbers are 546, 448, 772, 788
The greatest common divisor of numbers 546, 448, 772, 788 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 546, 448, 772, 788 is 2.

1. What is the GCD of 546, 448, 772, 788?

GCD of given numbers 546, 448, 772, 788 is 2

2. How to calculate the greatest common divisor of 546, 448, 772, 788?

We can find the highest common divisor of 546, 448, 772, 788 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 546, 448, 772, 788 i.e 2.

3. How can I use the GCD of 546, 448, 772, 788Calculator?

Out the numbers 546, 448, 772, 788 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.