GCD of 438, 661, 400, 112 Calculator

Given Input numbers are 438, 661, 400, 112

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 661 :

The positive integer divisors of 661 that completely divides 661 are.

1, 661

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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 (438, 661, 400, 112) = 1.

Given numbers are 438, 661, 400, 112

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 661 are 661

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

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

Given numbers are 438, 661, 400, 112

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

Apply this formula for all numbers.

Step1:

LCM(438, 661) = 289518

GCD(438, 661) = ( 438 x 661 ) / 289518

= 438 / 661

= 438

Step2:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

So, Greatest Common Divisor of 438, 661, 400, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 292, 799, 202, 961
• GCD of 686, 163, 689, 284
• GCD of 873, 942, 512, 167
• GCD of 497, 421, 989, 901
• GCD of 780, 354, 378, 760

Given numbers are 438, 661, 400, 112
The greatest common divisor of numbers 438, 661, 400, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 661, 400, 112 is 1.

1. What is the GCD of 438, 661, 400, 112?

GCD of given numbers 438, 661, 400, 112 is 1

2. How to calculate the greatest common divisor of 438, 661, 400, 112?

We can find the highest common divisor of 438, 661, 400, 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 438, 661, 400, 112 i.e 1.

3. How can I use the GCD of 438, 661, 400, 112Calculator?

Out the numbers 438, 661, 400, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.