GCD of 140, 990, 840 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 140, 990, 840 quickly. Get the easiest ways to solve the greatest common divisor of 140, 990, 840 i.e 10 in different methods as follows.
Given Input numbers are 140, 990, 840
In the factoring method, we have to find the divisors of all numbers
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 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
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
GCD of numbers is the greatest common divisor
So, the GCD (140, 990, 840) = 10.
Given numbers are 140, 990, 840
The list of prime factors of all numbers are
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
The highest common occurrence is 21 x 51
Therefore, GCD of 140, 990, 840 is 10.
Steps to Calculate GCD of 140, 990, 840 using LCM Formula
Given numbers are 140, 990, 840
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(140, 990) = 13860
GCD(140, 990) = ( 140 x 990 ) / 13860
= 140 / 990
= 140
Step2:
LCM(10, 840) = 840
GCD(10, 840) = ( 10 x 840 ) / 840
= 10 / 840
= 10
So, Greatest Common Divisor of 140, 990, 840 is 10
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 140, 990, 840
Given numbers are 140, 990, 840
The greatest common divisor of numbers 140, 990, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 990, 840 is 10.
FAQs on GCD of 140, 990, 840 Calculator
1. What is the GCD of 140, 990, 840?
GCD of given numbers 140, 990, 840 is 10
2. How to calculate the greatest common divisor of 140, 990, 840?
We can find the highest common divisor of 140, 990, 840 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 140, 990, 840 i.e 10.
3. How can I use the GCD of 140, 990, 840Calculator?
Out the numbers 140, 990, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.