GCD of 420, 746, 112 Calculator

Given Input numbers are 420, 746, 112

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

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 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 112 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (420, 746, 112) = 2.

Given numbers are 420, 746, 112

The list of prime factors of all numbers are

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

Prime factors of 746 are 2 x 373

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

The highest common occurrence is 2¹

Therefore, GCD of 420, 746, 112 is 2.

Given numbers are 420, 746, 112

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

Apply this formula for all numbers.

Step1:

LCM(420, 746) = 156660

GCD(420, 746) = ( 420 x 746 ) / 156660

= 420 / 746

= 420

Step2:

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

= 2 / 112

= 2

So, Greatest Common Divisor of 420, 746, 112 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 336, 738, 333
• GCD of 600, 859, 688
• GCD of 104, 182, 130
• GCD of 434, 646, 485
• GCD of 925, 489, 929

Given numbers are 420, 746, 112
The greatest common divisor of numbers 420, 746, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 746, 112 is 2.

1. What is the GCD of 420, 746, 112?

GCD of given numbers 420, 746, 112 is 2

2. How to calculate the greatest common divisor of 420, 746, 112?

We can find the highest common divisor of 420, 746, 112 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 420, 746, 112 i.e 2.

3. How can I use the GCD of 420, 746, 112Calculator?

Out the numbers 420, 746, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.