GCD of 272, 464, 304, 148 Calculator

Given Input numbers are 272, 464, 304, 148

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 148 :

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

1, 2, 4, 37, 74, 148

GCD of numbers is the greatest common divisor

So, the GCD (272, 464, 304, 148) = 4.

Given numbers are 272, 464, 304, 148

The list of prime factors of all numbers are

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 148 are 2 x 2 x 37

The highest common occurrence is 2²

Therefore, GCD of 272, 464, 304, 148 is 4.

Given numbers are 272, 464, 304, 148

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

Apply this formula for all numbers.

Step1:

LCM(272, 464) = 7888

GCD(272, 464) = ( 272 x 464 ) / 7888

= 272 / 464

= 272

Step2:

LCM(16, 304) = 304

GCD(16, 304) = ( 16 x 304 ) / 304

= 16 / 304

= 16

Step3:

LCM(16, 148) = 592

GCD(16, 148) = ( 16 x 148 ) / 592

= 16 / 148

= 16

So, Greatest Common Divisor of 272, 464, 304, 148 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 673, 798, 349, 461
• GCD of 526, 736, 526, 353
• GCD of 504, 682, 674, 916
• GCD of 799, 197, 340, 663
• GCD of 106, 874, 490, 442

Given numbers are 272, 464, 304, 148
The greatest common divisor of numbers 272, 464, 304, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 464, 304, 148 is 4.

1. What is the GCD of 272, 464, 304, 148?

GCD of given numbers 272, 464, 304, 148 is 4

2. How to calculate the greatest common divisor of 272, 464, 304, 148?

We can find the highest common divisor of 272, 464, 304, 148 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 272, 464, 304, 148 i.e 4.

3. How can I use the GCD of 272, 464, 304, 148Calculator?

Out the numbers 272, 464, 304, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.