Online GCD Calculator is useful to find the GCD of 224, 404, 674, 748 quickly. Get the easiest ways to solve the greatest common divisor of 224, 404, 674, 748 i.e 2 in different methods as follows.
Given Input numbers are 224, 404, 674, 748
In the factoring method, we have to find the divisors of all numbers
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
Divisors of 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
GCD of numbers is the greatest common divisor
So, the GCD (224, 404, 674, 748) = 2.
Given numbers are 224, 404, 674, 748
The list of prime factors of all numbers are
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 404 are 2 x 2 x 101
Prime factors of 674 are 2 x 337
Prime factors of 748 are 2 x 2 x 11 x 17
The highest common occurrence is 21
Therefore, GCD of 224, 404, 674, 748 is 2.
Given numbers are 224, 404, 674, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(224, 404) = 22624
GCD(224, 404) = ( 224 x 404 ) / 22624
= 224 / 404
= 224
Step2:
LCM(4, 674) = 1348
GCD(4, 674) = ( 4 x 674 ) / 1348
= 4 / 674
= 4
Step3:
LCM(2, 748) = 748
GCD(2, 748) = ( 2 x 748 ) / 748
= 2 / 748
= 2
So, Greatest Common Divisor of 224, 404, 674, 748 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 224, 404, 674, 748
The greatest common divisor of numbers 224, 404, 674, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 404, 674, 748 is 2.
1. What is the GCD of 224, 404, 674, 748?
GCD of given numbers 224, 404, 674, 748 is 2
2. How to calculate the greatest common divisor of 224, 404, 674, 748?
We can find the highest common divisor of 224, 404, 674, 748 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 224, 404, 674, 748 i.e 2.
3. How can I use the GCD of 224, 404, 674, 748Calculator?
Out the numbers 224, 404, 674, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.