GCD of 100, 688, 149 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 100, 688, 149 quickly. Get the easiest ways to solve the greatest common divisor of 100, 688, 149 i.e 1 in different methods as follows.
Given Input numbers are 100, 688, 149
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 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
GCD of numbers is the greatest common divisor
So, the GCD (100, 688, 149) = 1.
Given numbers are 100, 688, 149
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 149 are 149
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 100, 688, 149 using LCM Formula
Given numbers are 100, 688, 149
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 688) = 17200
GCD(100, 688) = ( 100 x 688 ) / 17200
= 100 / 688
= 100
Step2:
LCM(4, 149) = 596
GCD(4, 149) = ( 4 x 149 ) / 596
= 4 / 149
= 4
So, Greatest Common Divisor of 100, 688, 149 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 100, 688, 149
Given numbers are 100, 688, 149
The greatest common divisor of numbers 100, 688, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 688, 149 is 1.
FAQs on GCD of 100, 688, 149 Calculator
1. What is the GCD of 100, 688, 149?
GCD of given numbers 100, 688, 149 is 1
2. How to calculate the greatest common divisor of 100, 688, 149?
We can find the highest common divisor of 100, 688, 149 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, 688, 149 i.e 1.
3. How can I use the GCD of 100, 688, 149Calculator?
Out the numbers 100, 688, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.