GCD of 148, 382, 550, 178 Calculator

Given Input numbers are 148, 382, 550, 178

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

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

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 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

GCD of numbers is the greatest common divisor

So, the GCD (148, 382, 550, 178) = 2.

Given numbers are 148, 382, 550, 178

The list of prime factors of all numbers are

Prime factors of 148 are 2 x 2 x 37

Prime factors of 382 are 2 x 191

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

Prime factors of 178 are 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 148, 382, 550, 178 is 2.

Given numbers are 148, 382, 550, 178

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

Apply this formula for all numbers.

Step1:

LCM(148, 382) = 28268

GCD(148, 382) = ( 148 x 382 ) / 28268

= 148 / 382

= 148

Step2:

LCM(2, 550) = 550

GCD(2, 550) = ( 2 x 550 ) / 550

= 2 / 550

= 2

Step3:

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

= 2 / 178

= 2

So, Greatest Common Divisor of 148, 382, 550, 178 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 885, 161, 587, 107
• GCD of 679, 962, 930, 705
• GCD of 318, 247, 678, 661
• GCD of 112, 728, 308, 648
• GCD of 647, 473, 939, 769

Given numbers are 148, 382, 550, 178
The greatest common divisor of numbers 148, 382, 550, 178 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 382, 550, 178 is 2.

1. What is the GCD of 148, 382, 550, 178?

GCD of given numbers 148, 382, 550, 178 is 2

2. How to calculate the greatest common divisor of 148, 382, 550, 178?

We can find the highest common divisor of 148, 382, 550, 178 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 148, 382, 550, 178 i.e 2.

3. How can I use the GCD of 148, 382, 550, 178Calculator?

Out the numbers 148, 382, 550, 178 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.