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 137, 925, 140, 699 i.e. 1 largest integer that divides all the numbers equally.
GCD of 137, 925, 140, 699 is 1
GCD(137, 925, 140, 699) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 137, 925, 140, 699 is 1
GCD(137, 925, 140, 699) = 1
Given Input numbers are 137, 925, 140, 699
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Greatest Common Divisior
We found the divisors of 137, 925, 140, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 925, 140, 699 is 1.
Therefore, GCD of numbers 137, 925, 140, 699 is 1
Given Input Data is 137, 925, 140, 699
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 137 is 137
Prime Factorization of 925 is 5 x 5 x 37
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 699 is 3 x 233
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(137, 925) = 126725
GCD(137, 925) = ( 137 x 925 ) / 126725
GCD(137, 925) = 126725 / 126725
GCD(137, 925) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 140
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
GCD(1, 140) = 140 / 140
GCD(1, 140) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 699
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 699) = 699
GCD(1, 699) = ( 1 x 699 ) / 699
GCD(1, 699) = 699 / 699
GCD(1, 699) = 1
GCD of 137, 925, 140, 699 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 137, 925, 140, 699?
GCD of 137, 925, 140, 699 is 1
2. Where do I get the detailed procedure to find GCD of 137, 925, 140, 699?
You can find a detailed procedure to find GCD of 137, 925, 140, 699 on our page.
3. How to find GCD of 137, 925, 140, 699 on a calculator?
You can find the GCD of 137, 925, 140, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.