GCD of 387, 114, 162, 700 Calculator

Given Input numbers are 387, 114, 162, 700

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

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

GCD of numbers is the greatest common divisor

So, the GCD (387, 114, 162, 700) = 1.

Given numbers are 387, 114, 162, 700

The list of prime factors of all numbers are

Prime factors of 387 are 3 x 3 x 43

Prime factors of 114 are 2 x 3 x 19

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

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

Given numbers are 387, 114, 162, 700

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

Apply this formula for all numbers.

Step1:

LCM(387, 114) = 14706

GCD(387, 114) = ( 387 x 114 ) / 14706

= 387 / 114

= 387

Step2:

LCM(3, 162) = 162

GCD(3, 162) = ( 3 x 162 ) / 162

= 3 / 162

= 3

Step3:

LCM(3, 700) = 2100

GCD(3, 700) = ( 3 x 700 ) / 2100

= 3 / 700

= 3

So, Greatest Common Divisor of 387, 114, 162, 700 is 1

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Given numbers are 387, 114, 162, 700
The greatest common divisor of numbers 387, 114, 162, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 387, 114, 162, 700 is 1.

1. What is the GCD of 387, 114, 162, 700?

GCD of given numbers 387, 114, 162, 700 is 1

2. How to calculate the greatest common divisor of 387, 114, 162, 700?

We can find the highest common divisor of 387, 114, 162, 700 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 387, 114, 162, 700 i.e 1.

3. How can I use the GCD of 387, 114, 162, 700Calculator?

Out the numbers 387, 114, 162, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.