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 670, 402, 78, 775 i.e. 1 largest integer that divides all the numbers equally.
GCD of 670, 402, 78, 775 is 1
GCD(670, 402, 78, 775) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 670, 402, 78, 775 is 1
GCD(670, 402, 78, 775) = 1
Given Input numbers are 670, 402, 78, 775
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Greatest Common Divisior
We found the divisors of 670, 402, 78, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 402, 78, 775 is 1.
Therefore, GCD of numbers 670, 402, 78, 775 is 1
Given Input Data is 670, 402, 78, 775
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 670 is 2 x 5 x 67
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 775 is 5 x 5 x 31
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(670, 402) = 2010
GCD(670, 402) = ( 670 x 402 ) / 2010
GCD(670, 402) = 269340 / 2010
GCD(670, 402) = 134
Step2:
Here we consider the GCD from the above i.e. 134 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(134, 78) = 5226
GCD(134, 78) = ( 134 x 78 ) / 5226
GCD(134, 78) = 10452 / 5226
GCD(134, 78) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 775
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 775) = 1550
GCD(2, 775) = ( 2 x 775 ) / 1550
GCD(2, 775) = 1550 / 1550
GCD(2, 775) = 1
GCD of 670, 402, 78, 775 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 670, 402, 78, 775?
GCD of 670, 402, 78, 775 is 1
2. Where do I get the detailed procedure to find GCD of 670, 402, 78, 775?
You can find a detailed procedure to find GCD of 670, 402, 78, 775 on our page.
3. How to find GCD of 670, 402, 78, 775 on a calculator?
You can find the GCD of 670, 402, 78, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.