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 50, 977, 830, 707 i.e. 1 largest integer that divides all the numbers equally.
GCD of 50, 977, 830, 707 is 1
GCD(50, 977, 830, 707) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 50, 977, 830, 707 is 1
GCD(50, 977, 830, 707) = 1
Given Input numbers are 50, 977, 830, 707
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 830
List of positive integer divisors of 830 that divides 830 without a remainder.
1, 2, 5, 10, 83, 166, 415, 830
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Greatest Common Divisior
We found the divisors of 50, 977, 830, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 977, 830, 707 is 1.
Therefore, GCD of numbers 50, 977, 830, 707 is 1
Given Input Data is 50, 977, 830, 707
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 977 is 977
Prime Factorization of 830 is 2 x 5 x 83
Prime Factorization of 707 is 7 x 101
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(50, 977) = 48850
GCD(50, 977) = ( 50 x 977 ) / 48850
GCD(50, 977) = 48850 / 48850
GCD(50, 977) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 830
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 830) = 830
GCD(1, 830) = ( 1 x 830 ) / 830
GCD(1, 830) = 830 / 830
GCD(1, 830) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 707) = 707
GCD(1, 707) = ( 1 x 707 ) / 707
GCD(1, 707) = 707 / 707
GCD(1, 707) = 1
GCD of 50, 977, 830, 707 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 50, 977, 830, 707?
GCD of 50, 977, 830, 707 is 1
2. Where do I get the detailed procedure to find GCD of 50, 977, 830, 707?
You can find a detailed procedure to find GCD of 50, 977, 830, 707 on our page.
3. How to find GCD of 50, 977, 830, 707 on a calculator?
You can find the GCD of 50, 977, 830, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.