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 977, 817, 202, 343 i.e. 1 largest integer that divides all the numbers equally.
GCD of 977, 817, 202, 343 is 1
GCD(977, 817, 202, 343) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 977, 817, 202, 343 is 1
GCD(977, 817, 202, 343) = 1
Given Input numbers are 977, 817, 202, 343
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Greatest Common Divisior
We found the divisors of 977, 817, 202, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 977, 817, 202, 343 is 1.
Therefore, GCD of numbers 977, 817, 202, 343 is 1
Given Input Data is 977, 817, 202, 343
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 977 is 977
Prime Factorization of 817 is 19 x 43
Prime Factorization of 202 is 2 x 101
Prime Factorization of 343 is 7 x 7 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(977, 817) = 798209
GCD(977, 817) = ( 977 x 817 ) / 798209
GCD(977, 817) = 798209 / 798209
GCD(977, 817) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 202
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 202) = 202
GCD(1, 202) = ( 1 x 202 ) / 202
GCD(1, 202) = 202 / 202
GCD(1, 202) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 343
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
GCD(1, 343) = 343 / 343
GCD(1, 343) = 1
GCD of 977, 817, 202, 343 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 977, 817, 202, 343?
GCD of 977, 817, 202, 343 is 1
2. Where do I get the detailed procedure to find GCD of 977, 817, 202, 343?
You can find a detailed procedure to find GCD of 977, 817, 202, 343 on our page.
3. How to find GCD of 977, 817, 202, 343 on a calculator?
You can find the GCD of 977, 817, 202, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.