GCD of 240, 140, 90 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 240, 140, 90 quickly. Get the easiest ways to solve the greatest common divisor of 240, 140, 90 i.e 10 in different methods as follows.
Given Input numbers are 240, 140, 90
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 90 :
The positive integer divisors of 90 that completely divides 90 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
GCD of numbers is the greatest common divisor
So, the GCD (240, 140, 90) = 10.
Given numbers are 240, 140, 90
The list of prime factors of all numbers are
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 90 are 2 x 3 x 3 x 5
The highest common occurrence is 21 x 51
Therefore, GCD of 240, 140, 90 is 10.
Steps to Calculate GCD of 240, 140, 90 using LCM Formula
Given numbers are 240, 140, 90
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 140) = 1680
GCD(240, 140) = ( 240 x 140 ) / 1680
= 240 / 140
= 240
Step2:
LCM(20, 90) = 180
GCD(20, 90) = ( 20 x 90 ) / 180
= 20 / 90
= 20
So, Greatest Common Divisor of 240, 140, 90 is 10
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 240, 140, 90
Given numbers are 240, 140, 90
The greatest common divisor of numbers 240, 140, 90 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 140, 90 is 10.
FAQs on GCD of 240, 140, 90 Calculator
1. What is the GCD of 240, 140, 90?
GCD of given numbers 240, 140, 90 is 10
2. How to calculate the greatest common divisor of 240, 140, 90?
We can find the highest common divisor of 240, 140, 90 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 240, 140, 90 i.e 10.
3. How can I use the GCD of 240, 140, 90Calculator?
Out the numbers 240, 140, 90 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.