GCD of 920, 760, 240 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 920, 760, 240 quickly. Get the easiest ways to solve the greatest common divisor of 920, 760, 240 i.e 40 in different methods as follows.
Given Input numbers are 920, 760, 240
In the factoring method, we have to find the divisors of all numbers
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
GCD of numbers is the greatest common divisor
So, the GCD (920, 760, 240) = 40.
Given numbers are 920, 760, 240
The list of prime factors of all numbers are
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 23 x 51
Therefore, GCD of 920, 760, 240 is 40.
Steps to Calculate GCD of 920, 760, 240 using LCM Formula
Given numbers are 920, 760, 240
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(920, 760) = 17480
GCD(920, 760) = ( 920 x 760 ) / 17480
= 920 / 760
= 920
Step2:
LCM(40, 240) = 240
GCD(40, 240) = ( 40 x 240 ) / 240
= 40 / 240
= 40
So, Greatest Common Divisor of 920, 760, 240 is 40
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 920, 760, 240
Given numbers are 920, 760, 240
The greatest common divisor of numbers 920, 760, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 760, 240 is 40.
FAQs on GCD of 920, 760, 240 Calculator
1. What is the GCD of 920, 760, 240?
GCD of given numbers 920, 760, 240 is 40
2. How to calculate the greatest common divisor of 920, 760, 240?
We can find the highest common divisor of 920, 760, 240 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 920, 760, 240 i.e 40.
3. How can I use the GCD of 920, 760, 240Calculator?
Out the numbers 920, 760, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.