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 546, 750, 967, 850 i.e. 1 largest integer that divides all the numbers equally.
GCD of 546, 750, 967, 850 is 1
GCD(546, 750, 967, 850) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 546, 750, 967, 850 is 1
GCD(546, 750, 967, 850) = 1
Given Input numbers are 546, 750, 967, 850
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 546
List of positive integer divisors of 546 that divides 546 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Greatest Common Divisior
We found the divisors of 546, 750, 967, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 750, 967, 850 is 1.
Therefore, GCD of numbers 546, 750, 967, 850 is 1
Given Input Data is 546, 750, 967, 850
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 546 is 2 x 3 x 7 x 13
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 967 is 967
Prime Factorization of 850 is 2 x 5 x 5 x 17
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(546, 750) = 68250
GCD(546, 750) = ( 546 x 750 ) / 68250
GCD(546, 750) = 409500 / 68250
GCD(546, 750) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 967
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 967) = 5802
GCD(6, 967) = ( 6 x 967 ) / 5802
GCD(6, 967) = 5802 / 5802
GCD(6, 967) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 850) = 850
GCD(1, 850) = ( 1 x 850 ) / 850
GCD(1, 850) = 850 / 850
GCD(1, 850) = 1
GCD of 546, 750, 967, 850 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 546, 750, 967, 850?
GCD of 546, 750, 967, 850 is 1
2. Where do I get the detailed procedure to find GCD of 546, 750, 967, 850?
You can find a detailed procedure to find GCD of 546, 750, 967, 850 on our page.
3. How to find GCD of 546, 750, 967, 850 on a calculator?
You can find the GCD of 546, 750, 967, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.