GCD of 448, 542, 450, 358 Calculator

Given Input numbers are 448, 542, 450, 358

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

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 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (448, 542, 450, 358) = 2.

Given numbers are 448, 542, 450, 358

The list of prime factors of all numbers are

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

Prime factors of 542 are 2 x 271

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 358 are 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 448, 542, 450, 358 is 2.

Given numbers are 448, 542, 450, 358

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

Apply this formula for all numbers.

Step1:

LCM(448, 542) = 121408

GCD(448, 542) = ( 448 x 542 ) / 121408

= 448 / 542

= 448

Step2:

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

= 2 / 450

= 2

Step3:

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

= 2 / 358

= 2

So, Greatest Common Divisor of 448, 542, 450, 358 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 823, 264, 374, 254
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Given numbers are 448, 542, 450, 358
The greatest common divisor of numbers 448, 542, 450, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 542, 450, 358 is 2.

1. What is the GCD of 448, 542, 450, 358?

GCD of given numbers 448, 542, 450, 358 is 2

2. How to calculate the greatest common divisor of 448, 542, 450, 358?

We can find the highest common divisor of 448, 542, 450, 358 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 448, 542, 450, 358 i.e 2.

3. How can I use the GCD of 448, 542, 450, 358Calculator?

Out the numbers 448, 542, 450, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.