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 974, 950, 736, 114 i.e. 2 largest integer that divides all the numbers equally.
GCD of 974, 950, 736, 114 is 2
GCD(974, 950, 736, 114) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 974, 950, 736, 114 is 2
GCD(974, 950, 736, 114) = 2
Given Input numbers are 974, 950, 736, 114
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
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 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Greatest Common Divisior
We found the divisors of 974, 950, 736, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 950, 736, 114 is 2.
Therefore, GCD of numbers 974, 950, 736, 114 is 2
Given Input Data is 974, 950, 736, 114
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 974 is 2 x 487
Prime Factorization of 950 is 2 x 5 x 5 x 19
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 114 is 2 x 3 x 19
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(974, 950) = 462650
GCD(974, 950) = ( 974 x 950 ) / 462650
GCD(974, 950) = 925300 / 462650
GCD(974, 950) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 736
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 736) = 736
GCD(2, 736) = ( 2 x 736 ) / 736
GCD(2, 736) = 1472 / 736
GCD(2, 736) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 114
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 114) = 114
GCD(2, 114) = ( 2 x 114 ) / 114
GCD(2, 114) = 228 / 114
GCD(2, 114) = 2
GCD of 974, 950, 736, 114 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 974, 950, 736, 114?
GCD of 974, 950, 736, 114 is 2
2. Where do I get the detailed procedure to find GCD of 974, 950, 736, 114?
You can find a detailed procedure to find GCD of 974, 950, 736, 114 on our page.
3. How to find GCD of 974, 950, 736, 114 on a calculator?
You can find the GCD of 974, 950, 736, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.