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 374, 751, 846, 420 i.e. 1 largest integer that divides all the numbers equally.
GCD of 374, 751, 846, 420 is 1
GCD(374, 751, 846, 420) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 374, 751, 846, 420 is 1
GCD(374, 751, 846, 420) = 1
Given Input numbers are 374, 751, 846, 420
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 751
List of positive integer divisors of 751 that divides 751 without a remainder.
1, 751
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
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 374, 751, 846, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 751, 846, 420 is 1.
Therefore, GCD of numbers 374, 751, 846, 420 is 1
Given Input Data is 374, 751, 846, 420
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 374 is 2 x 11 x 17
Prime Factorization of 751 is 751
Prime Factorization of 846 is 2 x 3 x 3 x 47
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(374, 751) = 280874
GCD(374, 751) = ( 374 x 751 ) / 280874
GCD(374, 751) = 280874 / 280874
GCD(374, 751) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 846
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 846) = 846
GCD(1, 846) = ( 1 x 846 ) / 846
GCD(1, 846) = 846 / 846
GCD(1, 846) = 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 374, 751, 846, 420 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 374, 751, 846, 420?
GCD of 374, 751, 846, 420 is 1
2. Where do I get the detailed procedure to find GCD of 374, 751, 846, 420?
You can find a detailed procedure to find GCD of 374, 751, 846, 420 on our page.
3. How to find GCD of 374, 751, 846, 420 on a calculator?
You can find the GCD of 374, 751, 846, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.