GCD of 148, 992, 548, 228 Calculator

Given Input numbers are 148, 992, 548, 228

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 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

GCD of numbers is the greatest common divisor

So, the GCD (148, 992, 548, 228) = 4.

Given numbers are 148, 992, 548, 228

The list of prime factors of all numbers are

Prime factors of 148 are 2 x 2 x 37

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 548 are 2 x 2 x 137

Prime factors of 228 are 2 x 2 x 3 x 19

The highest common occurrence is 2²

Therefore, GCD of 148, 992, 548, 228 is 4.

Given numbers are 148, 992, 548, 228

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

Apply this formula for all numbers.

Step1:

LCM(148, 992) = 36704

GCD(148, 992) = ( 148 x 992 ) / 36704

= 148 / 992

= 148

Step2:

LCM(4, 548) = 548

GCD(4, 548) = ( 4 x 548 ) / 548

= 4 / 548

= 4

Step3:

LCM(4, 228) = 228

GCD(4, 228) = ( 4 x 228 ) / 228

= 4 / 228

= 4

So, Greatest Common Divisor of 148, 992, 548, 228 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 900, 481, 882, 206
• GCD of 155, 812, 192, 138
• GCD of 888, 938, 124, 497
• GCD of 267, 549, 979, 842
• GCD of 724, 197, 521, 161

Given numbers are 148, 992, 548, 228
The greatest common divisor of numbers 148, 992, 548, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 992, 548, 228 is 4.

1. What is the GCD of 148, 992, 548, 228?

GCD of given numbers 148, 992, 548, 228 is 4

2. How to calculate the greatest common divisor of 148, 992, 548, 228?

We can find the highest common divisor of 148, 992, 548, 228 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, 992, 548, 228 i.e 4.

3. How can I use the GCD of 148, 992, 548, 228Calculator?

Out the numbers 148, 992, 548, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.