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 762, 371, 431, 224 i.e. 1 largest integer that divides all the numbers equally.
GCD of 762, 371, 431, 224 is 1
GCD(762, 371, 431, 224) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 762, 371, 431, 224 is 1
GCD(762, 371, 431, 224) = 1
Given Input numbers are 762, 371, 431, 224
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Divisors of 224
List of positive integer divisors of 224 that divides 224 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Greatest Common Divisior
We found the divisors of 762, 371, 431, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 371, 431, 224 is 1.
Therefore, GCD of numbers 762, 371, 431, 224 is 1
Given Input Data is 762, 371, 431, 224
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 762 is 2 x 3 x 127
Prime Factorization of 371 is 7 x 53
Prime Factorization of 431 is 431
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 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(762, 371) = 282702
GCD(762, 371) = ( 762 x 371 ) / 282702
GCD(762, 371) = 282702 / 282702
GCD(762, 371) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 431
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 431) = 431
GCD(1, 431) = ( 1 x 431 ) / 431
GCD(1, 431) = 431 / 431
GCD(1, 431) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 224
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 224) = 224
GCD(1, 224) = ( 1 x 224 ) / 224
GCD(1, 224) = 224 / 224
GCD(1, 224) = 1
GCD of 762, 371, 431, 224 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 762, 371, 431, 224?
GCD of 762, 371, 431, 224 is 1
2. Where do I get the detailed procedure to find GCD of 762, 371, 431, 224?
You can find a detailed procedure to find GCD of 762, 371, 431, 224 on our page.
3. How to find GCD of 762, 371, 431, 224 on a calculator?
You can find the GCD of 762, 371, 431, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.