GCD of 506, 744, 140 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 506, 744, 140 quickly. Get the easiest ways to solve the greatest common divisor of 506, 744, 140 i.e 2 in different methods as follows.
Given Input numbers are 506, 744, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
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
GCD of numbers is the greatest common divisor
So, the GCD (506, 744, 140) = 2.
Given numbers are 506, 744, 140
The list of prime factors of all numbers are
Prime factors of 506 are 2 x 11 x 23
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 506, 744, 140 is 2.
Steps to Calculate GCD of 506, 744, 140 using LCM Formula
Given numbers are 506, 744, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(506, 744) = 188232
GCD(506, 744) = ( 506 x 744 ) / 188232
= 506 / 744
= 506
Step2:
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
= 2 / 140
= 2
So, Greatest Common Divisor of 506, 744, 140 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 506, 744, 140
Given numbers are 506, 744, 140
The greatest common divisor of numbers 506, 744, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 744, 140 is 2.
FAQs on GCD of 506, 744, 140 Calculator
1. What is the GCD of 506, 744, 140?
GCD of given numbers 506, 744, 140 is 2
2. How to calculate the greatest common divisor of 506, 744, 140?
We can find the highest common divisor of 506, 744, 140 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 506, 744, 140 i.e 2.
3. How can I use the GCD of 506, 744, 140Calculator?
Out the numbers 506, 744, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.