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 140, 350, 73, 702 i.e. 1 largest integer that divides all the numbers equally.
GCD of 140, 350, 73, 702 is 1
GCD(140, 350, 73, 702) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 140, 350, 73, 702 is 1
GCD(140, 350, 73, 702) = 1
Given Input numbers are 140, 350, 73, 702
To find the GCD of numbers using factoring list out all the divisors of each number
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 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
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
Greatest Common Divisior
We found the divisors of 140, 350, 73, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 350, 73, 702 is 1.
Therefore, GCD of numbers 140, 350, 73, 702 is 1
Given Input Data is 140, 350, 73, 702
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 73 is 73
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
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(140, 350) = 700
GCD(140, 350) = ( 140 x 350 ) / 700
GCD(140, 350) = 49000 / 700
GCD(140, 350) = 70
Step2:
Here we consider the GCD from the above i.e. 70 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(70, 73) = 5110
GCD(70, 73) = ( 70 x 73 ) / 5110
GCD(70, 73) = 5110 / 5110
GCD(70, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 702) = 702
GCD(1, 702) = ( 1 x 702 ) / 702
GCD(1, 702) = 702 / 702
GCD(1, 702) = 1
GCD of 140, 350, 73, 702 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 140, 350, 73, 702?
GCD of 140, 350, 73, 702 is 1
2. Where do I get the detailed procedure to find GCD of 140, 350, 73, 702?
You can find a detailed procedure to find GCD of 140, 350, 73, 702 on our page.
3. How to find GCD of 140, 350, 73, 702 on a calculator?
You can find the GCD of 140, 350, 73, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.