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 672, 754, 37, 474 i.e. 1 largest integer that divides all the numbers equally.
GCD of 672, 754, 37, 474 is 1
GCD(672, 754, 37, 474) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 672, 754, 37, 474 is 1
GCD(672, 754, 37, 474) = 1
Given Input numbers are 672, 754, 37, 474
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 672
List of positive integer divisors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Greatest Common Divisior
We found the divisors of 672, 754, 37, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 754, 37, 474 is 1.
Therefore, GCD of numbers 672, 754, 37, 474 is 1
Given Input Data is 672, 754, 37, 474
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 754 is 2 x 13 x 29
Prime Factorization of 37 is 37
Prime Factorization of 474 is 2 x 3 x 79
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(672, 754) = 253344
GCD(672, 754) = ( 672 x 754 ) / 253344
GCD(672, 754) = 506688 / 253344
GCD(672, 754) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 37) = 74
GCD(2, 37) = ( 2 x 37 ) / 74
GCD(2, 37) = 74 / 74
GCD(2, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 474
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 474) = 474
GCD(1, 474) = ( 1 x 474 ) / 474
GCD(1, 474) = 474 / 474
GCD(1, 474) = 1
GCD of 672, 754, 37, 474 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 672, 754, 37, 474?
GCD of 672, 754, 37, 474 is 1
2. Where do I get the detailed procedure to find GCD of 672, 754, 37, 474?
You can find a detailed procedure to find GCD of 672, 754, 37, 474 on our page.
3. How to find GCD of 672, 754, 37, 474 on a calculator?
You can find the GCD of 672, 754, 37, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.