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 970, 105, 168, 100 i.e. 1 largest integer that divides all the numbers equally.
GCD of 970, 105, 168, 100 is 1
GCD(970, 105, 168, 100) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 970, 105, 168, 100 is 1
GCD(970, 105, 168, 100) = 1
Given Input numbers are 970, 105, 168, 100
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Greatest Common Divisior
We found the divisors of 970, 105, 168, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 105, 168, 100 is 1.
Therefore, GCD of numbers 970, 105, 168, 100 is 1
Given Input Data is 970, 105, 168, 100
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 970 is 2 x 5 x 97
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 100 is 2 x 2 x 5 x 5
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(970, 105) = 20370
GCD(970, 105) = ( 970 x 105 ) / 20370
GCD(970, 105) = 101850 / 20370
GCD(970, 105) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 168
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 168) = 840
GCD(5, 168) = ( 5 x 168 ) / 840
GCD(5, 168) = 840 / 840
GCD(5, 168) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 100
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
GCD(1, 100) = 100 / 100
GCD(1, 100) = 1
GCD of 970, 105, 168, 100 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 970, 105, 168, 100?
GCD of 970, 105, 168, 100 is 1
2. Where do I get the detailed procedure to find GCD of 970, 105, 168, 100?
You can find a detailed procedure to find GCD of 970, 105, 168, 100 on our page.
3. How to find GCD of 970, 105, 168, 100 on a calculator?
You can find the GCD of 970, 105, 168, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.