Online GCD Calculator is useful to find the GCD of 224, 945, 498, 358 quickly. Get the easiest ways to solve the greatest common divisor of 224, 945, 498, 358 i.e 1 in different methods as follows.
Given Input numbers are 224, 945, 498, 358
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 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
GCD of numbers is the greatest common divisor
So, the GCD (224, 945, 498, 358) = 1.
Given numbers are 224, 945, 498, 358
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 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 498 are 2 x 3 x 83
Prime factors of 358 are 2 x 179
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 224, 945, 498, 358
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(224, 945) = 30240
GCD(224, 945) = ( 224 x 945 ) / 30240
= 224 / 945
= 224
Step2:
LCM(7, 498) = 3486
GCD(7, 498) = ( 7 x 498 ) / 3486
= 7 / 498
= 7
Step3:
LCM(1, 358) = 358
GCD(1, 358) = ( 1 x 358 ) / 358
= 1 / 358
= 1
So, Greatest Common Divisor of 224, 945, 498, 358 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 224, 945, 498, 358
The greatest common divisor of numbers 224, 945, 498, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 945, 498, 358 is 1.
1. What is the GCD of 224, 945, 498, 358?
GCD of given numbers 224, 945, 498, 358 is 1
2. How to calculate the greatest common divisor of 224, 945, 498, 358?
We can find the highest common divisor of 224, 945, 498, 358 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, 945, 498, 358 i.e 1.
3. How can I use the GCD of 224, 945, 498, 358Calculator?
Out the numbers 224, 945, 498, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.