GCD of 348, 378, 362, 476 Calculator

Given Input numbers are 348, 378, 362, 476

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 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

GCD of numbers is the greatest common divisor

So, the GCD (348, 378, 362, 476) = 2.

Given numbers are 348, 378, 362, 476

The list of prime factors of all numbers are

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

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 362 are 2 x 181

Prime factors of 476 are 2 x 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 348, 378, 362, 476 is 2.

Given numbers are 348, 378, 362, 476

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

Apply this formula for all numbers.

Step1:

LCM(348, 378) = 21924

GCD(348, 378) = ( 348 x 378 ) / 21924

= 348 / 378

= 348

Step2:

LCM(6, 362) = 1086

GCD(6, 362) = ( 6 x 362 ) / 1086

= 6 / 362

= 6

Step3:

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

= 2 / 476

= 2

So, Greatest Common Divisor of 348, 378, 362, 476 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 502, 891, 498, 508
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• GCD of 693, 950, 565, 355

Given numbers are 348, 378, 362, 476
The greatest common divisor of numbers 348, 378, 362, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 378, 362, 476 is 2.

1. What is the GCD of 348, 378, 362, 476?

GCD of given numbers 348, 378, 362, 476 is 2

2. How to calculate the greatest common divisor of 348, 378, 362, 476?

We can find the highest common divisor of 348, 378, 362, 476 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, 378, 362, 476 i.e 2.

3. How can I use the GCD of 348, 378, 362, 476Calculator?

Out the numbers 348, 378, 362, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.