GCD of 123, 678, 118, 551 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 123, 678, 118, 551 quickly. Get the easiest ways to solve the greatest common divisor of 123, 678, 118, 551 i.e 1 in different methods as follows.
Given Input numbers are 123, 678, 118, 551
In the factoring method, we have to find the divisors of all numbers
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 551 :
The positive integer divisors of 551 that completely divides 551 are.
1, 19, 29, 551
GCD of numbers is the greatest common divisor
So, the GCD (123, 678, 118, 551) = 1.
Given numbers are 123, 678, 118, 551
The list of prime factors of all numbers are
Prime factors of 123 are 3 x 41
Prime factors of 678 are 2 x 3 x 113
Prime factors of 118 are 2 x 59
Prime factors of 551 are 19 x 29
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 123, 678, 118, 551 using LCM Formula
Given numbers are 123, 678, 118, 551
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(123, 678) = 27798
GCD(123, 678) = ( 123 x 678 ) / 27798
= 123 / 678
= 123
Step2:
LCM(3, 118) = 354
GCD(3, 118) = ( 3 x 118 ) / 354
= 3 / 118
= 3
Step3:
LCM(1, 551) = 551
GCD(1, 551) = ( 1 x 551 ) / 551
= 1 / 551
= 1
So, Greatest Common Divisor of 123, 678, 118, 551 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 123, 678, 118, 551
Given numbers are 123, 678, 118, 551
The greatest common divisor of numbers 123, 678, 118, 551 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 678, 118, 551 is 1.
FAQs on GCD of 123, 678, 118, 551 Calculator
1. What is the GCD of 123, 678, 118, 551?
GCD of given numbers 123, 678, 118, 551 is 1
2. How to calculate the greatest common divisor of 123, 678, 118, 551?
We can find the highest common divisor of 123, 678, 118, 551 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 123, 678, 118, 551 i.e 1.
3. How can I use the GCD of 123, 678, 118, 551Calculator?
Out the numbers 123, 678, 118, 551 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.