Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 149, 142, 684, 840 i.e. 1 largest integer that divides all the numbers equally.
GCD of 149, 142, 684, 840 is 1
GCD(149, 142, 684, 840) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 149, 142, 684, 840 is 1
GCD(149, 142, 684, 840) = 1
Given Input numbers are 149, 142, 684, 840
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
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
Greatest Common Divisior
We found the divisors of 149, 142, 684, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 142, 684, 840 is 1.
Therefore, GCD of numbers 149, 142, 684, 840 is 1
Given Input Data is 149, 142, 684, 840
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 149 is 149
Prime Factorization of 142 is 2 x 71
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(149, 142) = 21158
GCD(149, 142) = ( 149 x 142 ) / 21158
GCD(149, 142) = 21158 / 21158
GCD(149, 142) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 684
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
GCD(1, 684) = 684 / 684
GCD(1, 684) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 840
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 840) = 840
GCD(1, 840) = ( 1 x 840 ) / 840
GCD(1, 840) = 840 / 840
GCD(1, 840) = 1
GCD of 149, 142, 684, 840 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 149, 142, 684, 840?
GCD of 149, 142, 684, 840 is 1
2. Where do I get the detailed procedure to find GCD of 149, 142, 684, 840?
You can find a detailed procedure to find GCD of 149, 142, 684, 840 on our page.
3. How to find GCD of 149, 142, 684, 840 on a calculator?
You can find the GCD of 149, 142, 684, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.