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 628, 616, 46, 435 i.e. 1 largest integer that divides all the numbers equally.
GCD of 628, 616, 46, 435 is 1
GCD(628, 616, 46, 435) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 628, 616, 46, 435 is 1
GCD(628, 616, 46, 435) = 1
Given Input numbers are 628, 616, 46, 435
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
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 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Greatest Common Divisior
We found the divisors of 628, 616, 46, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 616, 46, 435 is 1.
Therefore, GCD of numbers 628, 616, 46, 435 is 1
Given Input Data is 628, 616, 46, 435
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 628 is 2 x 2 x 157
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 46 is 2 x 23
Prime Factorization of 435 is 3 x 5 x 29
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(628, 616) = 96712
GCD(628, 616) = ( 628 x 616 ) / 96712
GCD(628, 616) = 386848 / 96712
GCD(628, 616) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 46) = 92
GCD(4, 46) = ( 4 x 46 ) / 92
GCD(4, 46) = 184 / 92
GCD(4, 46) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 435
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 435) = 870
GCD(2, 435) = ( 2 x 435 ) / 870
GCD(2, 435) = 870 / 870
GCD(2, 435) = 1
GCD of 628, 616, 46, 435 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 628, 616, 46, 435?
GCD of 628, 616, 46, 435 is 1
2. Where do I get the detailed procedure to find GCD of 628, 616, 46, 435?
You can find a detailed procedure to find GCD of 628, 616, 46, 435 on our page.
3. How to find GCD of 628, 616, 46, 435 on a calculator?
You can find the GCD of 628, 616, 46, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.