GCD of 112, 664, 932, 478 Calculator

Given Input numbers are 112, 664, 932, 478

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 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 932 :

The positive integer divisors of 932 that completely divides 932 are.

1, 2, 4, 233, 466, 932

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

GCD of numbers is the greatest common divisor

So, the GCD (112, 664, 932, 478) = 2.

Given numbers are 112, 664, 932, 478

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 664 are 2 x 2 x 2 x 83

Prime factors of 932 are 2 x 2 x 233

Prime factors of 478 are 2 x 239

The highest common occurrence is 2¹

Therefore, GCD of 112, 664, 932, 478 is 2.

Given numbers are 112, 664, 932, 478

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

Apply this formula for all numbers.

Step1:

LCM(112, 664) = 9296

GCD(112, 664) = ( 112 x 664 ) / 9296

= 112 / 664

= 112

Step2:

LCM(8, 932) = 1864

GCD(8, 932) = ( 8 x 932 ) / 1864

= 8 / 932

= 8

Step3:

LCM(4, 478) = 956

GCD(4, 478) = ( 4 x 478 ) / 956

= 4 / 478

= 4

So, Greatest Common Divisor of 112, 664, 932, 478 is 2

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• GCD of 995, 653, 704, 430
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Given numbers are 112, 664, 932, 478
The greatest common divisor of numbers 112, 664, 932, 478 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 664, 932, 478 is 2.

1. What is the GCD of 112, 664, 932, 478?

GCD of given numbers 112, 664, 932, 478 is 2

2. How to calculate the greatest common divisor of 112, 664, 932, 478?

We can find the highest common divisor of 112, 664, 932, 478 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, 664, 932, 478 i.e 2.

3. How can I use the GCD of 112, 664, 932, 478Calculator?

Out the numbers 112, 664, 932, 478 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.