GCD of 148, 496, 48, 274 Calculator

Given Input numbers are 148, 496, 48, 274

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 496 :

The positive integer divisors of 496 that completely divides 496 are.

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

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

GCD of numbers is the greatest common divisor

So, the GCD (148, 496, 48, 274) = 2.

Given numbers are 148, 496, 48, 274

The list of prime factors of all numbers are

Prime factors of 148 are 2 x 2 x 37

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

Prime factors of 274 are 2 x 137

The highest common occurrence is 2¹

Therefore, GCD of 148, 496, 48, 274 is 2.

Given numbers are 148, 496, 48, 274

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

Apply this formula for all numbers.

Step1:

LCM(148, 496) = 18352

GCD(148, 496) = ( 148 x 496 ) / 18352

= 148 / 496

= 148

Step2:

LCM(4, 48) = 48

GCD(4, 48) = ( 4 x 48 ) / 48

= 4 / 48

= 4

Step3:

LCM(4, 274) = 548

GCD(4, 274) = ( 4 x 274 ) / 548

= 4 / 274

= 4

So, Greatest Common Divisor of 148, 496, 48, 274 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 363, 925, 12, 704
• GCD of 210, 414, 61, 124
• GCD of 327, 711, 25, 880
• GCD of 227, 709, 34, 802
• GCD of 776, 990, 99, 422

Given numbers are 148, 496, 48, 274
The greatest common divisor of numbers 148, 496, 48, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 496, 48, 274 is 2.

1. What is the GCD of 148, 496, 48, 274?

GCD of given numbers 148, 496, 48, 274 is 2

2. How to calculate the greatest common divisor of 148, 496, 48, 274?

We can find the highest common divisor of 148, 496, 48, 274 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, 496, 48, 274 i.e 2.

3. How can I use the GCD of 148, 496, 48, 274Calculator?

Out the numbers 148, 496, 48, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.