GCD of 100, 706, 420 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 100, 706, 420 quickly. Get the easiest ways to solve the greatest common divisor of 100, 706, 420 i.e 2 in different methods as follows.
Given Input numbers are 100, 706, 420
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 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (100, 706, 420) = 2.
Given numbers are 100, 706, 420
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 706 are 2 x 353
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 100, 706, 420 is 2.
Steps to Calculate GCD of 100, 706, 420 using LCM Formula
Given numbers are 100, 706, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 706) = 35300
GCD(100, 706) = ( 100 x 706 ) / 35300
= 100 / 706
= 100
Step2:
LCM(2, 420) = 420
GCD(2, 420) = ( 2 x 420 ) / 420
= 2 / 420
= 2
So, Greatest Common Divisor of 100, 706, 420 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 100, 706, 420
Given numbers are 100, 706, 420
The greatest common divisor of numbers 100, 706, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 706, 420 is 2.
FAQs on GCD of 100, 706, 420 Calculator
1. What is the GCD of 100, 706, 420?
GCD of given numbers 100, 706, 420 is 2
2. How to calculate the greatest common divisor of 100, 706, 420?
We can find the highest common divisor of 100, 706, 420 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, 706, 420 i.e 2.
3. How can I use the GCD of 100, 706, 420Calculator?
Out the numbers 100, 706, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.