GCD of 352, 476, 225, 414 Calculator

Given Input numbers are 352, 476, 225, 414

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

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

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (352, 476, 225, 414) = 1.

Given numbers are 352, 476, 225, 414

The list of prime factors of all numbers are

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

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

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 414 are 2 x 3 x 3 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 352, 476, 225, 414

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

Apply this formula for all numbers.

Step1:

LCM(352, 476) = 41888

GCD(352, 476) = ( 352 x 476 ) / 41888

= 352 / 476

= 352

Step2:

LCM(4, 225) = 900

GCD(4, 225) = ( 4 x 225 ) / 900

= 4 / 225

= 4

Step3:

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

= 1 / 414

= 1

So, Greatest Common Divisor of 352, 476, 225, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 811, 618, 240, 315
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• GCD of 817, 444, 999, 887
• GCD of 767, 286, 280, 937
• GCD of 433, 833, 615, 292

Given numbers are 352, 476, 225, 414
The greatest common divisor of numbers 352, 476, 225, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 476, 225, 414 is 1.

1. What is the GCD of 352, 476, 225, 414?

GCD of given numbers 352, 476, 225, 414 is 1

2. How to calculate the greatest common divisor of 352, 476, 225, 414?

We can find the highest common divisor of 352, 476, 225, 414 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 352, 476, 225, 414 i.e 1.

3. How can I use the GCD of 352, 476, 225, 414Calculator?

Out the numbers 352, 476, 225, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.