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 147, 350, 953, 421 i.e. 1 largest integer that divides all the numbers equally.
GCD of 147, 350, 953, 421 is 1
GCD(147, 350, 953, 421) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 147, 350, 953, 421 is 1
GCD(147, 350, 953, 421) = 1
Given Input numbers are 147, 350, 953, 421
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
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 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Greatest Common Divisior
We found the divisors of 147, 350, 953, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 350, 953, 421 is 1.
Therefore, GCD of numbers 147, 350, 953, 421 is 1
Given Input Data is 147, 350, 953, 421
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 953 is 953
Prime Factorization of 421 is 421
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(147, 350) = 7350
GCD(147, 350) = ( 147 x 350 ) / 7350
GCD(147, 350) = 51450 / 7350
GCD(147, 350) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 953
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 953) = 6671
GCD(7, 953) = ( 7 x 953 ) / 6671
GCD(7, 953) = 6671 / 6671
GCD(7, 953) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 421
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 421) = 421
GCD(1, 421) = ( 1 x 421 ) / 421
GCD(1, 421) = 421 / 421
GCD(1, 421) = 1
GCD of 147, 350, 953, 421 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 147, 350, 953, 421?
GCD of 147, 350, 953, 421 is 1
2. Where do I get the detailed procedure to find GCD of 147, 350, 953, 421?
You can find a detailed procedure to find GCD of 147, 350, 953, 421 on our page.
3. How to find GCD of 147, 350, 953, 421 on a calculator?
You can find the GCD of 147, 350, 953, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.