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, 710, 152, 416 i.e. 2 largest integer that divides all the numbers equally.
GCD of 70, 710, 152, 416 is 2
GCD(70, 710, 152, 416) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 710, 152, 416 is 2
GCD(70, 710, 152, 416) = 2
Given Input numbers are 70, 710, 152, 416
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 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 416
List of positive integer divisors of 416 that divides 416 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Greatest Common Divisior
We found the divisors of 70, 710, 152, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 710, 152, 416 is 2.
Therefore, GCD of numbers 70, 710, 152, 416 is 2
Given Input Data is 70, 710, 152, 416
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 710 is 2 x 5 x 71
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 710) = 4970
GCD(70, 710) = ( 70 x 710 ) / 4970
GCD(70, 710) = 49700 / 4970
GCD(70, 710) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 152) = 760
GCD(10, 152) = ( 10 x 152 ) / 760
GCD(10, 152) = 1520 / 760
GCD(10, 152) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 416
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 416) = 416
GCD(2, 416) = ( 2 x 416 ) / 416
GCD(2, 416) = 832 / 416
GCD(2, 416) = 2
GCD of 70, 710, 152, 416 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 70, 710, 152, 416?
GCD of 70, 710, 152, 416 is 2
2. Where do I get the detailed procedure to find GCD of 70, 710, 152, 416?
You can find a detailed procedure to find GCD of 70, 710, 152, 416 on our page.
3. How to find GCD of 70, 710, 152, 416 on a calculator?
You can find the GCD of 70, 710, 152, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.