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 941, 675, 525, 420 i.e. 1 largest integer that divides all the numbers equally.
GCD of 941, 675, 525, 420 is 1
GCD(941, 675, 525, 420) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 941, 675, 525, 420 is 1
GCD(941, 675, 525, 420) = 1
Given Input numbers are 941, 675, 525, 420
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 941
List of positive integer divisors of 941 that divides 941 without a remainder.
1, 941
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 525
List of positive integer divisors of 525 that divides 525 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Greatest Common Divisior
We found the divisors of 941, 675, 525, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 941, 675, 525, 420 is 1.
Therefore, GCD of numbers 941, 675, 525, 420 is 1
Given Input Data is 941, 675, 525, 420
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 941 is 941
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 525 is 3 x 5 x 5 x 7
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
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(941, 675) = 635175
GCD(941, 675) = ( 941 x 675 ) / 635175
GCD(941, 675) = 635175 / 635175
GCD(941, 675) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 525
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 525) = 525
GCD(1, 525) = ( 1 x 525 ) / 525
GCD(1, 525) = 525 / 525
GCD(1, 525) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 420
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
GCD(1, 420) = 420 / 420
GCD(1, 420) = 1
GCD of 941, 675, 525, 420 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 941, 675, 525, 420?
GCD of 941, 675, 525, 420 is 1
2. Where do I get the detailed procedure to find GCD of 941, 675, 525, 420?
You can find a detailed procedure to find GCD of 941, 675, 525, 420 on our page.
3. How to find GCD of 941, 675, 525, 420 on a calculator?
You can find the GCD of 941, 675, 525, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.