GCD of 420, 765, 138 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 420, 765, 138 quickly. Get the easiest ways to solve the greatest common divisor of 420, 765, 138 i.e 3 in different methods as follows.
Given Input numbers are 420, 765, 138
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (420, 765, 138) = 3.
Given numbers are 420, 765, 138
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 138 are 2 x 3 x 23
The highest common occurrence is 31
Therefore, GCD of 420, 765, 138 is 3.
Steps to Calculate GCD of 420, 765, 138 using LCM Formula
Given numbers are 420, 765, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 765) = 21420
GCD(420, 765) = ( 420 x 765 ) / 21420
= 420 / 765
= 420
Step2:
LCM(15, 138) = 690
GCD(15, 138) = ( 15 x 138 ) / 690
= 15 / 138
= 15
So, Greatest Common Divisor of 420, 765, 138 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 420, 765, 138
Given numbers are 420, 765, 138
The greatest common divisor of numbers 420, 765, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 765, 138 is 3.
FAQs on GCD of 420, 765, 138 Calculator
1. What is the GCD of 420, 765, 138?
GCD of given numbers 420, 765, 138 is 3
2. How to calculate the greatest common divisor of 420, 765, 138?
We can find the highest common divisor of 420, 765, 138 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 420, 765, 138 i.e 3.
3. How can I use the GCD of 420, 765, 138Calculator?
Out the numbers 420, 765, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.