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 674, 784, 88, 630 i.e. 2 largest integer that divides all the numbers equally.
GCD of 674, 784, 88, 630 is 2
GCD(674, 784, 88, 630) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 674, 784, 88, 630 is 2
GCD(674, 784, 88, 630) = 2
Given Input numbers are 674, 784, 88, 630
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 630
List of positive integer divisors of 630 that divides 630 without a remainder.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Greatest Common Divisior
We found the divisors of 674, 784, 88, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 784, 88, 630 is 2.
Therefore, GCD of numbers 674, 784, 88, 630 is 2
Given Input Data is 674, 784, 88, 630
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 674 is 2 x 337
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7
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(674, 784) = 264208
GCD(674, 784) = ( 674 x 784 ) / 264208
GCD(674, 784) = 528416 / 264208
GCD(674, 784) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 88
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 88) = 88
GCD(2, 88) = ( 2 x 88 ) / 88
GCD(2, 88) = 176 / 88
GCD(2, 88) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 630
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 630) = 630
GCD(2, 630) = ( 2 x 630 ) / 630
GCD(2, 630) = 1260 / 630
GCD(2, 630) = 2
GCD of 674, 784, 88, 630 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 674, 784, 88, 630?
GCD of 674, 784, 88, 630 is 2
2. Where do I get the detailed procedure to find GCD of 674, 784, 88, 630?
You can find a detailed procedure to find GCD of 674, 784, 88, 630 on our page.
3. How to find GCD of 674, 784, 88, 630 on a calculator?
You can find the GCD of 674, 784, 88, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.