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GCD of 100, 662, 147, 899 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, 662, 147, 899 quickly. Get the easiest ways to solve the greatest common divisor of 100, 662, 147, 899 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 100, 662, 147, 899 with Factoring?

Given Input numbers are 100, 662, 147, 899

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 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 899 :

The positive integer divisors of 899 that completely divides 899 are.

1, 29, 31, 899


GCD of numbers is the greatest common divisor

So, the GCD (100, 662, 147, 899) = 1.

Find GCD of 100, 662, 147, 899 using Prime Factorization

Given numbers are 100, 662, 147, 899

The list of prime factors of all numbers are

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

Prime factors of 662 are 2 x 331

Prime factors of 147 are 3 x 7 x 7

Prime factors of 899 are 29 x 31

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

Steps to Calculate GCD of 100, 662, 147, 899 using LCM Formula

Given numbers are 100, 662, 147, 899

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

Apply this formula for all numbers.

Step1:

LCM(100, 662) = 33100

GCD(100, 662) = ( 100 x 662 ) / 33100

= 100 / 662

= 100


Step2:

LCM(2, 147) = 294

GCD(2, 147) = ( 2 x 147 ) / 294

= 2 / 147

= 2


Step3:

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

= 1 / 899

= 1


So, Greatest Common Divisor of 100, 662, 147, 899 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 100, 662, 147, 899

Given numbers are 100, 662, 147, 899
The greatest common divisor of numbers 100, 662, 147, 899 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 662, 147, 899 is 1.

FAQs on GCD of 100, 662, 147, 899 Calculator

1. What is the GCD of 100, 662, 147, 899?

GCD of given numbers 100, 662, 147, 899 is 1


2. How to calculate the greatest common divisor of 100, 662, 147, 899?

We can find the highest common divisor of 100, 662, 147, 899 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, 662, 147, 899 i.e 1.


3. How can I use the GCD of 100, 662, 147, 899Calculator?

Out the numbers 100, 662, 147, 899 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.