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 70, 147, 412, 750 i.e. 1 largest integer that divides all the numbers equally.
GCD of 70, 147, 412, 750 is 1
GCD(70, 147, 412, 750) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 147, 412, 750 is 1
GCD(70, 147, 412, 750) = 1
Given Input numbers are 70, 147, 412, 750
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Greatest Common Divisior
We found the divisors of 70, 147, 412, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 147, 412, 750 is 1.
Therefore, GCD of numbers 70, 147, 412, 750 is 1
Given Input Data is 70, 147, 412, 750
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 750 is 2 x 3 x 5 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(70, 147) = 1470
GCD(70, 147) = ( 70 x 147 ) / 1470
GCD(70, 147) = 10290 / 1470
GCD(70, 147) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 412
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 412) = 2884
GCD(7, 412) = ( 7 x 412 ) / 2884
GCD(7, 412) = 2884 / 2884
GCD(7, 412) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 750
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 750) = 750
GCD(1, 750) = ( 1 x 750 ) / 750
GCD(1, 750) = 750 / 750
GCD(1, 750) = 1
GCD of 70, 147, 412, 750 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 70, 147, 412, 750?
GCD of 70, 147, 412, 750 is 1
2. Where do I get the detailed procedure to find GCD of 70, 147, 412, 750?
You can find a detailed procedure to find GCD of 70, 147, 412, 750 on our page.
3. How to find GCD of 70, 147, 412, 750 on a calculator?
You can find the GCD of 70, 147, 412, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.