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GCD of 700, 188, 16 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 700, 188, 16 quickly. Get the easiest ways to solve the greatest common divisor of 700, 188, 16 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 700, 188, 16 with Factoring?

Given Input numbers are 700, 188, 16

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

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

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 16 :

The positive integer divisors of 16 that completely divides 16 are.

1, 2, 4, 8, 16


GCD of numbers is the greatest common divisor

So, the GCD (700, 188, 16) = 4.

Find GCD of 700, 188, 16 using Prime Factorization

Given numbers are 700, 188, 16

The list of prime factors of all numbers are

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

Prime factors of 188 are 2 x 2 x 47

Prime factors of 16 are 2 x 2 x 2 x 2

The highest common occurrence is 22

Therefore, GCD of 700, 188, 16 is 4.

Steps to Calculate GCD of 700, 188, 16 using LCM Formula

Given numbers are 700, 188, 16

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

Apply this formula for all numbers.

Step1:

LCM(700, 188) = 32900

GCD(700, 188) = ( 700 x 188 ) / 32900

= 700 / 188

= 700


Step2:

LCM(4, 16) = 16

GCD(4, 16) = ( 4 x 16 ) / 16

= 4 / 16

= 4


So, Greatest Common Divisor of 700, 188, 16 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 700, 188, 16

Given numbers are 700, 188, 16
The greatest common divisor of numbers 700, 188, 16 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 188, 16 is 4.

FAQs on GCD of 700, 188, 16 Calculator

1. What is the GCD of 700, 188, 16?

GCD of given numbers 700, 188, 16 is 4


2. How to calculate the greatest common divisor of 700, 188, 16?

We can find the highest common divisor of 700, 188, 16 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 700, 188, 16 i.e 4.


3. How can I use the GCD of 700, 188, 16Calculator?

Out the numbers 700, 188, 16 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.