GCD of 106, 550, 145, 448 Calculator

Given Input numbers are 106, 550, 145, 448

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

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

GCD of numbers is the greatest common divisor

So, the GCD (106, 550, 145, 448) = 1.

Given numbers are 106, 550, 145, 448

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 145 are 5 x 29

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 106, 550, 145, 448

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

Apply this formula for all numbers.

Step1:

LCM(106, 550) = 29150

GCD(106, 550) = ( 106 x 550 ) / 29150

= 106 / 550

= 106

Step2:

LCM(2, 145) = 290

GCD(2, 145) = ( 2 x 145 ) / 290

= 2 / 145

= 2

Step3:

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

= 1 / 448

= 1

So, Greatest Common Divisor of 106, 550, 145, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 283, 931, 677, 193
• GCD of 738, 152, 533, 802
• GCD of 674, 184, 672, 823
• GCD of 390, 580, 721, 391
• GCD of 402, 453, 775, 301

Given numbers are 106, 550, 145, 448
The greatest common divisor of numbers 106, 550, 145, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 550, 145, 448 is 1.

1. What is the GCD of 106, 550, 145, 448?

GCD of given numbers 106, 550, 145, 448 is 1

2. How to calculate the greatest common divisor of 106, 550, 145, 448?

We can find the highest common divisor of 106, 550, 145, 448 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 106, 550, 145, 448 i.e 1.

3. How can I use the GCD of 106, 550, 145, 448Calculator?

Out the numbers 106, 550, 145, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.