GCD of 546, 448, 462, 958 Calculator

Given Input numbers are 546, 448, 462, 958

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 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

GCD of numbers is the greatest common divisor

So, the GCD (546, 448, 462, 958) = 2.

Given numbers are 546, 448, 462, 958

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 462 are 2 x 3 x 7 x 11

Prime factors of 958 are 2 x 479

The highest common occurrence is 2¹

Therefore, GCD of 546, 448, 462, 958 is 2.

Given numbers are 546, 448, 462, 958

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, 462) = 462

GCD(14, 462) = ( 14 x 462 ) / 462

= 14 / 462

= 14

Step3:

LCM(14, 958) = 6706

GCD(14, 958) = ( 14 x 958 ) / 6706

= 14 / 958

= 14

So, Greatest Common Divisor of 546, 448, 462, 958 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 851, 761, 557
• GCD of 702, 277, 636, 911
• GCD of 385, 118, 996, 532
• GCD of 874, 604, 766, 659
• GCD of 273, 175, 558, 910

Given numbers are 546, 448, 462, 958
The greatest common divisor of numbers 546, 448, 462, 958 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 546, 448, 462, 958 is 2.

1. What is the GCD of 546, 448, 462, 958?

GCD of given numbers 546, 448, 462, 958 is 2

2. How to calculate the greatest common divisor of 546, 448, 462, 958?

We can find the highest common divisor of 546, 448, 462, 958 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, 462, 958 i.e 2.

3. How can I use the GCD of 546, 448, 462, 958Calculator?

Out the numbers 546, 448, 462, 958 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.