GCD of 348, 472, 578, 976 Calculator

Given Input numbers are 348, 472, 578, 976

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

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

GCD of numbers is the greatest common divisor

So, the GCD (348, 472, 578, 976) = 2.

Given numbers are 348, 472, 578, 976

The list of prime factors of all numbers are

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 578 are 2 x 17 x 17

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

The highest common occurrence is 2¹

Therefore, GCD of 348, 472, 578, 976 is 2.

Given numbers are 348, 472, 578, 976

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

Apply this formula for all numbers.

Step1:

LCM(348, 472) = 41064

GCD(348, 472) = ( 348 x 472 ) / 41064

= 348 / 472

= 348

Step2:

LCM(4, 578) = 1156

GCD(4, 578) = ( 4 x 578 ) / 1156

= 4 / 578

= 4

Step3:

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

= 2 / 976

= 2

So, Greatest Common Divisor of 348, 472, 578, 976 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 562, 355, 590, 424
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• GCD of 715, 698, 492, 568
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Given numbers are 348, 472, 578, 976
The greatest common divisor of numbers 348, 472, 578, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 472, 578, 976 is 2.

1. What is the GCD of 348, 472, 578, 976?

GCD of given numbers 348, 472, 578, 976 is 2

2. How to calculate the greatest common divisor of 348, 472, 578, 976?

We can find the highest common divisor of 348, 472, 578, 976 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 348, 472, 578, 976 i.e 2.

3. How can I use the GCD of 348, 472, 578, 976Calculator?

Out the numbers 348, 472, 578, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.