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, 380, 70, 786 i.e. 1 largest integer that divides all the numbers equally.
GCD of 977, 380, 70, 786 is 1
GCD(977, 380, 70, 786) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 977, 380, 70, 786 is 1
GCD(977, 380, 70, 786) = 1
Given Input numbers are 977, 380, 70, 786
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 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 786
List of positive integer divisors of 786 that divides 786 without a remainder.
1, 2, 3, 6, 131, 262, 393, 786
Greatest Common Divisior
We found the divisors of 977, 380, 70, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 977, 380, 70, 786 is 1.
Therefore, GCD of numbers 977, 380, 70, 786 is 1
Given Input Data is 977, 380, 70, 786
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 977 is 977
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 786 is 2 x 3 x 131
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, 380) = 371260
GCD(977, 380) = ( 977 x 380 ) / 371260
GCD(977, 380) = 371260 / 371260
GCD(977, 380) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 70) = 70
GCD(1, 70) = ( 1 x 70 ) / 70
GCD(1, 70) = 70 / 70
GCD(1, 70) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 786
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 786) = 786
GCD(1, 786) = ( 1 x 786 ) / 786
GCD(1, 786) = 786 / 786
GCD(1, 786) = 1
GCD of 977, 380, 70, 786 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 977, 380, 70, 786?
GCD of 977, 380, 70, 786 is 1
2. Where do I get the detailed procedure to find GCD of 977, 380, 70, 786?
You can find a detailed procedure to find GCD of 977, 380, 70, 786 on our page.
3. How to find GCD of 977, 380, 70, 786 on a calculator?
You can find the GCD of 977, 380, 70, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.