GCD of 421, 112, 684, 945 Calculator

Given Input numbers are 421, 112, 684, 945

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

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

GCD of numbers is the greatest common divisor

So, the GCD (421, 112, 684, 945) = 1.

Given numbers are 421, 112, 684, 945

The list of prime factors of all numbers are

Prime factors of 421 are 421

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

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

Given numbers are 421, 112, 684, 945

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

Apply this formula for all numbers.

Step1:

LCM(421, 112) = 47152

GCD(421, 112) = ( 421 x 112 ) / 47152

= 421 / 112

= 421

Step2:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1

Step3:

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

= 1 / 945

= 1

So, Greatest Common Divisor of 421, 112, 684, 945 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 501, 734, 165, 347
• GCD of 179, 642, 656, 988
• GCD of 348, 746, 207, 637
• GCD of 844, 111, 150, 156
• GCD of 186, 863, 273, 510

Given numbers are 421, 112, 684, 945
The greatest common divisor of numbers 421, 112, 684, 945 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 421, 112, 684, 945 is 1.

1. What is the GCD of 421, 112, 684, 945?

GCD of given numbers 421, 112, 684, 945 is 1

2. How to calculate the greatest common divisor of 421, 112, 684, 945?

We can find the highest common divisor of 421, 112, 684, 945 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 421, 112, 684, 945 i.e 1.

3. How can I use the GCD of 421, 112, 684, 945Calculator?

Out the numbers 421, 112, 684, 945 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.