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 354, 840, 55, 850 i.e. 1 largest integer that divides all the numbers equally.
GCD of 354, 840, 55, 850 is 1
GCD(354, 840, 55, 850) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 354, 840, 55, 850 is 1
GCD(354, 840, 55, 850) = 1
Given Input numbers are 354, 840, 55, 850
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
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
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Greatest Common Divisior
We found the divisors of 354, 840, 55, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 840, 55, 850 is 1.
Therefore, GCD of numbers 354, 840, 55, 850 is 1
Given Input Data is 354, 840, 55, 850
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 354 is 2 x 3 x 59
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 55 is 5 x 11
Prime Factorization of 850 is 2 x 5 x 5 x 17
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(354, 840) = 49560
GCD(354, 840) = ( 354 x 840 ) / 49560
GCD(354, 840) = 297360 / 49560
GCD(354, 840) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 55) = 330
GCD(6, 55) = ( 6 x 55 ) / 330
GCD(6, 55) = 330 / 330
GCD(6, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 850) = 850
GCD(1, 850) = ( 1 x 850 ) / 850
GCD(1, 850) = 850 / 850
GCD(1, 850) = 1
GCD of 354, 840, 55, 850 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 354, 840, 55, 850?
GCD of 354, 840, 55, 850 is 1
2. Where do I get the detailed procedure to find GCD of 354, 840, 55, 850?
You can find a detailed procedure to find GCD of 354, 840, 55, 850 on our page.
3. How to find GCD of 354, 840, 55, 850 on a calculator?
You can find the GCD of 354, 840, 55, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.