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 42, 407, 147, 970 i.e. 1 largest integer that divides all the numbers equally.
GCD of 42, 407, 147, 970 is 1
GCD(42, 407, 147, 970) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 42, 407, 147, 970 is 1
GCD(42, 407, 147, 970) = 1
Given Input numbers are 42, 407, 147, 970
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Greatest Common Divisior
We found the divisors of 42, 407, 147, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 407, 147, 970 is 1.
Therefore, GCD of numbers 42, 407, 147, 970 is 1
Given Input Data is 42, 407, 147, 970
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 407 is 11 x 37
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 970 is 2 x 5 x 97
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(42, 407) = 17094
GCD(42, 407) = ( 42 x 407 ) / 17094
GCD(42, 407) = 17094 / 17094
GCD(42, 407) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 147
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 147) = 147
GCD(1, 147) = ( 1 x 147 ) / 147
GCD(1, 147) = 147 / 147
GCD(1, 147) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 970
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 970) = 970
GCD(1, 970) = ( 1 x 970 ) / 970
GCD(1, 970) = 970 / 970
GCD(1, 970) = 1
GCD of 42, 407, 147, 970 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 42, 407, 147, 970?
GCD of 42, 407, 147, 970 is 1
2. Where do I get the detailed procedure to find GCD of 42, 407, 147, 970?
You can find a detailed procedure to find GCD of 42, 407, 147, 970 on our page.
3. How to find GCD of 42, 407, 147, 970 on a calculator?
You can find the GCD of 42, 407, 147, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.