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GCD of 100, 616, 700, 599 Calculator

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


Online GCD Calculator is useful to find the GCD of 100, 616, 700, 599 quickly. Get the easiest ways to solve the greatest common divisor of 100, 616, 700, 599 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 100, 616, 700, 599 with Factoring?

Given Input numbers are 100, 616, 700, 599

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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 599 :

The positive integer divisors of 599 that completely divides 599 are.

1, 599


GCD of numbers is the greatest common divisor

So, the GCD (100, 616, 700, 599) = 1.

Find GCD of 100, 616, 700, 599 using Prime Factorization

Given numbers are 100, 616, 700, 599

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

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

Prime factors of 599 are 599

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

Steps to Calculate GCD of 100, 616, 700, 599 using LCM Formula

Given numbers are 100, 616, 700, 599

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

Apply this formula for all numbers.

Step1:

LCM(100, 616) = 15400

GCD(100, 616) = ( 100 x 616 ) / 15400

= 100 / 616

= 100


Step2:

LCM(4, 700) = 700

GCD(4, 700) = ( 4 x 700 ) / 700

= 4 / 700

= 4


Step3:

LCM(4, 599) = 2396

GCD(4, 599) = ( 4 x 599 ) / 2396

= 4 / 599

= 4


So, Greatest Common Divisor of 100, 616, 700, 599 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 100, 616, 700, 599

Given numbers are 100, 616, 700, 599
The greatest common divisor of numbers 100, 616, 700, 599 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 616, 700, 599 is 1.

FAQs on GCD of 100, 616, 700, 599 Calculator

1. What is the GCD of 100, 616, 700, 599?

GCD of given numbers 100, 616, 700, 599 is 1


2. How to calculate the greatest common divisor of 100, 616, 700, 599?

We can find the highest common divisor of 100, 616, 700, 599 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 100, 616, 700, 599 i.e 1.


3. How can I use the GCD of 100, 616, 700, 599Calculator?

Out the numbers 100, 616, 700, 599 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.