GCD of 378, 224, 561, 882 Calculator

Given Input numbers are 378, 224, 561, 882

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

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 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

GCD of numbers is the greatest common divisor

So, the GCD (378, 224, 561, 882) = 1.

Given numbers are 378, 224, 561, 882

The list of prime factors of all numbers are

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

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 561 are 3 x 11 x 17

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

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

Given numbers are 378, 224, 561, 882

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

Apply this formula for all numbers.

Step1:

LCM(378, 224) = 6048

GCD(378, 224) = ( 378 x 224 ) / 6048

= 378 / 224

= 378

Step2:

LCM(14, 561) = 7854

GCD(14, 561) = ( 14 x 561 ) / 7854

= 14 / 561

= 14

Step3:

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

= 1 / 882

= 1

So, Greatest Common Divisor of 378, 224, 561, 882 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 247, 956, 866, 510
• GCD of 678, 338, 512, 230
• GCD of 107, 879, 164, 704
• GCD of 714, 941, 241, 692
• GCD of 424, 968, 323, 554

Given numbers are 378, 224, 561, 882
The greatest common divisor of numbers 378, 224, 561, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 224, 561, 882 is 1.

1. What is the GCD of 378, 224, 561, 882?

GCD of given numbers 378, 224, 561, 882 is 1

2. How to calculate the greatest common divisor of 378, 224, 561, 882?

We can find the highest common divisor of 378, 224, 561, 882 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 378, 224, 561, 882 i.e 1.

3. How can I use the GCD of 378, 224, 561, 882Calculator?

Out the numbers 378, 224, 561, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.