Online GCD Calculator is useful to find the GCD of 224, 920, 747, 538 quickly. Get the easiest ways to solve the greatest common divisor of 224, 920, 747, 538 i.e 1 in different methods as follows.
Given Input numbers are 224, 920, 747, 538
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 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
GCD of numbers is the greatest common divisor
So, the GCD (224, 920, 747, 538) = 1.
Given numbers are 224, 920, 747, 538
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 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 747 are 3 x 3 x 83
Prime factors of 538 are 2 x 269
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 224, 920, 747, 538
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(224, 920) = 25760
GCD(224, 920) = ( 224 x 920 ) / 25760
= 224 / 920
= 224
Step2:
LCM(8, 747) = 5976
GCD(8, 747) = ( 8 x 747 ) / 5976
= 8 / 747
= 8
Step3:
LCM(1, 538) = 538
GCD(1, 538) = ( 1 x 538 ) / 538
= 1 / 538
= 1
So, Greatest Common Divisor of 224, 920, 747, 538 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 224, 920, 747, 538
The greatest common divisor of numbers 224, 920, 747, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 920, 747, 538 is 1.
1. What is the GCD of 224, 920, 747, 538?
GCD of given numbers 224, 920, 747, 538 is 1
2. How to calculate the greatest common divisor of 224, 920, 747, 538?
We can find the highest common divisor of 224, 920, 747, 538 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, 920, 747, 538 i.e 1.
3. How can I use the GCD of 224, 920, 747, 538Calculator?
Out the numbers 224, 920, 747, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.