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 702, 149, 352, 925 i.e. 1 largest integer that divides all the numbers equally.
GCD of 702, 149, 352, 925 is 1
GCD(702, 149, 352, 925) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 702, 149, 352, 925 is 1
GCD(702, 149, 352, 925) = 1
Given Input numbers are 702, 149, 352, 925
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
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 702, 149, 352, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 149, 352, 925 is 1.
Therefore, GCD of numbers 702, 149, 352, 925 is 1
Given Input Data is 702, 149, 352, 925
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 149 is 149
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
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(702, 149) = 104598
GCD(702, 149) = ( 702 x 149 ) / 104598
GCD(702, 149) = 104598 / 104598
GCD(702, 149) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 352
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 352) = 352
GCD(1, 352) = ( 1 x 352 ) / 352
GCD(1, 352) = 352 / 352
GCD(1, 352) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 925
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 925) = 925
GCD(1, 925) = ( 1 x 925 ) / 925
GCD(1, 925) = 925 / 925
GCD(1, 925) = 1
GCD of 702, 149, 352, 925 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 702, 149, 352, 925?
GCD of 702, 149, 352, 925 is 1
2. Where do I get the detailed procedure to find GCD of 702, 149, 352, 925?
You can find a detailed procedure to find GCD of 702, 149, 352, 925 on our page.
3. How to find GCD of 702, 149, 352, 925 on a calculator?
You can find the GCD of 702, 149, 352, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.