GCD of 701, 108, 112, 216 Calculator

Given Input numbers are 701, 108, 112, 216

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

Divisors of 701 :

The positive integer divisors of 701 that completely divides 701 are.

1, 701

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD of numbers is the greatest common divisor

So, the GCD (701, 108, 112, 216) = 1.

Given numbers are 701, 108, 112, 216

The list of prime factors of all numbers are

Prime factors of 701 are 701

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

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

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

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

Given numbers are 701, 108, 112, 216

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

Apply this formula for all numbers.

Step1:

LCM(701, 108) = 75708

GCD(701, 108) = ( 701 x 108 ) / 75708

= 701 / 108

= 701

Step2:

LCM(1, 112) = 112

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

= 1 / 112

= 1

Step3:

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

= 1 / 216

= 1

So, Greatest Common Divisor of 701, 108, 112, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 279, 205, 884
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• GCD of 158, 114, 617, 461
• GCD of 839, 150, 103, 949
• GCD of 364, 885, 256, 251

Given numbers are 701, 108, 112, 216
The greatest common divisor of numbers 701, 108, 112, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 701, 108, 112, 216 is 1.

1. What is the GCD of 701, 108, 112, 216?

GCD of given numbers 701, 108, 112, 216 is 1

2. How to calculate the greatest common divisor of 701, 108, 112, 216?

We can find the highest common divisor of 701, 108, 112, 216 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 701, 108, 112, 216 i.e 1.

3. How can I use the GCD of 701, 108, 112, 216Calculator?

Out the numbers 701, 108, 112, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.