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, 254, 76, 925 i.e. 1 largest integer that divides all the numbers equally.
GCD of 670, 254, 76, 925 is 1
GCD(670, 254, 76, 925) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 670, 254, 76, 925 is 1
GCD(670, 254, 76, 925) = 1
Given Input numbers are 670, 254, 76, 925
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 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Greatest Common Divisior
We found the divisors of 670, 254, 76, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 254, 76, 925 is 1.
Therefore, GCD of numbers 670, 254, 76, 925 is 1
Given Input Data is 670, 254, 76, 925
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 254 is 2 x 127
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 925 is 5 x 5 x 37
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, 254) = 85090
GCD(670, 254) = ( 670 x 254 ) / 85090
GCD(670, 254) = 170180 / 85090
GCD(670, 254) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 76) = 76
GCD(2, 76) = ( 2 x 76 ) / 76
GCD(2, 76) = 152 / 76
GCD(2, 76) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 925
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 925) = 1850
GCD(2, 925) = ( 2 x 925 ) / 1850
GCD(2, 925) = 1850 / 1850
GCD(2, 925) = 1
GCD of 670, 254, 76, 925 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 670, 254, 76, 925?
GCD of 670, 254, 76, 925 is 1
2. Where do I get the detailed procedure to find GCD of 670, 254, 76, 925?
You can find a detailed procedure to find GCD of 670, 254, 76, 925 on our page.
3. How to find GCD of 670, 254, 76, 925 on a calculator?
You can find the GCD of 670, 254, 76, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.