GCD of 378, 117, 561, 101 Calculator

Given Input numbers are 378, 117, 561, 101

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 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 561 :

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

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

Divisors of 101 :

The positive integer divisors of 101 that completely divides 101 are.

1, 101

GCD of numbers is the greatest common divisor

So, the GCD (378, 117, 561, 101) = 1.

Given numbers are 378, 117, 561, 101

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 117 are 3 x 3 x 13

Prime factors of 561 are 3 x 11 x 17

Prime factors of 101 are 101

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

Given numbers are 378, 117, 561, 101

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

Apply this formula for all numbers.

Step1:

LCM(378, 117) = 4914

GCD(378, 117) = ( 378 x 117 ) / 4914

= 378 / 117

= 378

Step2:

LCM(9, 561) = 1683

GCD(9, 561) = ( 9 x 561 ) / 1683

= 9 / 561

= 9

Step3:

LCM(3, 101) = 303

GCD(3, 101) = ( 3 x 101 ) / 303

= 3 / 101

= 3

So, Greatest Common Divisor of 378, 117, 561, 101 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 505, 930, 287
• GCD of 824, 554, 583, 321
• GCD of 565, 436, 951, 453
• GCD of 484, 370, 132, 556
• GCD of 325, 648, 962, 483

Given numbers are 378, 117, 561, 101
The greatest common divisor of numbers 378, 117, 561, 101 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 117, 561, 101 is 1.

1. What is the GCD of 378, 117, 561, 101?

GCD of given numbers 378, 117, 561, 101 is 1

2. How to calculate the greatest common divisor of 378, 117, 561, 101?

We can find the highest common divisor of 378, 117, 561, 101 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, 117, 561, 101 i.e 1.

3. How can I use the GCD of 378, 117, 561, 101Calculator?

Out the numbers 378, 117, 561, 101 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.