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 674, 147, 224, 552 i.e. 1 largest integer that divides all the numbers equally.
GCD of 674, 147, 224, 552 is 1
GCD(674, 147, 224, 552) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 674, 147, 224, 552 is 1
GCD(674, 147, 224, 552) = 1
Given Input numbers are 674, 147, 224, 552
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
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
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Greatest Common Divisior
We found the divisors of 674, 147, 224, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 147, 224, 552 is 1.
Therefore, GCD of numbers 674, 147, 224, 552 is 1
Given Input Data is 674, 147, 224, 552
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 674 is 2 x 337
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
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(674, 147) = 99078
GCD(674, 147) = ( 674 x 147 ) / 99078
GCD(674, 147) = 99078 / 99078
GCD(674, 147) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 552
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 552) = 552
GCD(1, 552) = ( 1 x 552 ) / 552
GCD(1, 552) = 552 / 552
GCD(1, 552) = 1
GCD of 674, 147, 224, 552 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 674, 147, 224, 552?
GCD of 674, 147, 224, 552 is 1
2. Where do I get the detailed procedure to find GCD of 674, 147, 224, 552?
You can find a detailed procedure to find GCD of 674, 147, 224, 552 on our page.
3. How to find GCD of 674, 147, 224, 552 on a calculator?
You can find the GCD of 674, 147, 224, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.