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 616, 473, 70, 354 i.e. 1 largest integer that divides all the numbers equally.
GCD of 616, 473, 70, 354 is 1
GCD(616, 473, 70, 354) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 616, 473, 70, 354 is 1
GCD(616, 473, 70, 354) = 1
Given Input numbers are 616, 473, 70, 354
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
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 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Greatest Common Divisior
We found the divisors of 616, 473, 70, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 473, 70, 354 is 1.
Therefore, GCD of numbers 616, 473, 70, 354 is 1
Given Input Data is 616, 473, 70, 354
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 473 is 11 x 43
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 354 is 2 x 3 x 59
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(616, 473) = 26488
GCD(616, 473) = ( 616 x 473 ) / 26488
GCD(616, 473) = 291368 / 26488
GCD(616, 473) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 70) = 770
GCD(11, 70) = ( 11 x 70 ) / 770
GCD(11, 70) = 770 / 770
GCD(11, 70) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 354
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 354) = 354
GCD(1, 354) = ( 1 x 354 ) / 354
GCD(1, 354) = 354 / 354
GCD(1, 354) = 1
GCD of 616, 473, 70, 354 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 616, 473, 70, 354?
GCD of 616, 473, 70, 354 is 1
2. Where do I get the detailed procedure to find GCD of 616, 473, 70, 354?
You can find a detailed procedure to find GCD of 616, 473, 70, 354 on our page.
3. How to find GCD of 616, 473, 70, 354 on a calculator?
You can find the GCD of 616, 473, 70, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.