GCD of 840, 135, 753 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 840, 135, 753 quickly. Get the easiest ways to solve the greatest common divisor of 840, 135, 753 i.e 3 in different methods as follows.
Given Input numbers are 840, 135, 753
In the factoring method, we have to find the divisors of all numbers
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 753 :
The positive integer divisors of 753 that completely divides 753 are.
1, 3, 251, 753
GCD of numbers is the greatest common divisor
So, the GCD (840, 135, 753) = 3.
Given numbers are 840, 135, 753
The list of prime factors of all numbers are
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 753 are 3 x 251
The highest common occurrence is 31
Therefore, GCD of 840, 135, 753 is 3.
Steps to Calculate GCD of 840, 135, 753 using LCM Formula
Given numbers are 840, 135, 753
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(840, 135) = 7560
GCD(840, 135) = ( 840 x 135 ) / 7560
= 840 / 135
= 840
Step2:
LCM(15, 753) = 3765
GCD(15, 753) = ( 15 x 753 ) / 3765
= 15 / 753
= 15
So, Greatest Common Divisor of 840, 135, 753 is 3
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 840, 135, 753
Given numbers are 840, 135, 753
The greatest common divisor of numbers 840, 135, 753 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 135, 753 is 3.
FAQs on GCD of 840, 135, 753 Calculator
1. What is the GCD of 840, 135, 753?
GCD of given numbers 840, 135, 753 is 3
2. How to calculate the greatest common divisor of 840, 135, 753?
We can find the highest common divisor of 840, 135, 753 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 840, 135, 753 i.e 3.
3. How can I use the GCD of 840, 135, 753Calculator?
Out the numbers 840, 135, 753 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.