GCD of 112, 457, 420, 726 Calculator

Given Input numbers are 112, 457, 420, 726

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

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 457 :

The positive integer divisors of 457 that completely divides 457 are.

1, 457

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

GCD of numbers is the greatest common divisor

So, the GCD (112, 457, 420, 726) = 1.

Given numbers are 112, 457, 420, 726

The list of prime factors of all numbers are

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

Prime factors of 457 are 457

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 726 are 2 x 3 x 11 x 11

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

Given numbers are 112, 457, 420, 726

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

Apply this formula for all numbers.

Step1:

LCM(112, 457) = 51184

GCD(112, 457) = ( 112 x 457 ) / 51184

= 112 / 457

= 112

Step2:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

Step3:

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

= 1 / 726

= 1

So, Greatest Common Divisor of 112, 457, 420, 726 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 910, 395, 610, 630
• GCD of 926, 180, 968, 762
• GCD of 996, 186, 632, 303
• GCD of 689, 573, 728, 264
• GCD of 298, 556, 699, 781

Given numbers are 112, 457, 420, 726
The greatest common divisor of numbers 112, 457, 420, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 457, 420, 726 is 1.

1. What is the GCD of 112, 457, 420, 726?

GCD of given numbers 112, 457, 420, 726 is 1

2. How to calculate the greatest common divisor of 112, 457, 420, 726?

We can find the highest common divisor of 112, 457, 420, 726 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 112, 457, 420, 726 i.e 1.

3. How can I use the GCD of 112, 457, 420, 726Calculator?

Out the numbers 112, 457, 420, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.