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 950, 356, 690, 658 i.e. 2 largest integer that divides all the numbers equally.
GCD of 950, 356, 690, 658 is 2
GCD(950, 356, 690, 658) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 950, 356, 690, 658 is 2
GCD(950, 356, 690, 658) = 2
Given Input numbers are 950, 356, 690, 658
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Greatest Common Divisior
We found the divisors of 950, 356, 690, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 950, 356, 690, 658 is 2.
Therefore, GCD of numbers 950, 356, 690, 658 is 2
Given Input Data is 950, 356, 690, 658
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 950 is 2 x 5 x 5 x 19
Prime Factorization of 356 is 2 x 2 x 89
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 658 is 2 x 7 x 47
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(950, 356) = 169100
GCD(950, 356) = ( 950 x 356 ) / 169100
GCD(950, 356) = 338200 / 169100
GCD(950, 356) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 690
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 690) = 690
GCD(2, 690) = ( 2 x 690 ) / 690
GCD(2, 690) = 1380 / 690
GCD(2, 690) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 658
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 658) = 658
GCD(2, 658) = ( 2 x 658 ) / 658
GCD(2, 658) = 1316 / 658
GCD(2, 658) = 2
GCD of 950, 356, 690, 658 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 950, 356, 690, 658?
GCD of 950, 356, 690, 658 is 2
2. Where do I get the detailed procedure to find GCD of 950, 356, 690, 658?
You can find a detailed procedure to find GCD of 950, 356, 690, 658 on our page.
3. How to find GCD of 950, 356, 690, 658 on a calculator?
You can find the GCD of 950, 356, 690, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.