GCD of 120, 762, 876 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 120, 762, 876 quickly. Get the easiest ways to solve the greatest common divisor of 120, 762, 876 i.e 6 in different methods as follows.
Given Input numbers are 120, 762, 876
In the factoring method, we have to find the divisors of all numbers
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 876 :
The positive integer divisors of 876 that completely divides 876 are.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
GCD of numbers is the greatest common divisor
So, the GCD (120, 762, 876) = 6.
Given numbers are 120, 762, 876
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 762 are 2 x 3 x 127
Prime factors of 876 are 2 x 2 x 3 x 73
The highest common occurrence is 21 x 31
Therefore, GCD of 120, 762, 876 is 6.
Steps to Calculate GCD of 120, 762, 876 using LCM Formula
Given numbers are 120, 762, 876
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 762) = 15240
GCD(120, 762) = ( 120 x 762 ) / 15240
= 120 / 762
= 120
Step2:
LCM(6, 876) = 876
GCD(6, 876) = ( 6 x 876 ) / 876
= 6 / 876
= 6
So, Greatest Common Divisor of 120, 762, 876 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 120, 762, 876
Given numbers are 120, 762, 876
The greatest common divisor of numbers 120, 762, 876 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 762, 876 is 6.
FAQs on GCD of 120, 762, 876 Calculator
1. What is the GCD of 120, 762, 876?
GCD of given numbers 120, 762, 876 is 6
2. How to calculate the greatest common divisor of 120, 762, 876?
We can find the highest common divisor of 120, 762, 876 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 120, 762, 876 i.e 6.
3. How can I use the GCD of 120, 762, 876Calculator?
Out the numbers 120, 762, 876 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.