Online GCD Calculator is useful to find the GCD of 224, 749, 682, 425 quickly. Get the easiest ways to solve the greatest common divisor of 224, 749, 682, 425 i.e 1 in different methods as follows.
Given Input numbers are 224, 749, 682, 425
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 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 425 :
The positive integer divisors of 425 that completely divides 425 are.
1, 5, 17, 25, 85, 425
GCD of numbers is the greatest common divisor
So, the GCD (224, 749, 682, 425) = 1.
Given numbers are 224, 749, 682, 425
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 749 are 7 x 107
Prime factors of 682 are 2 x 11 x 31
Prime factors of 425 are 5 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 224, 749, 682, 425
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(224, 749) = 23968
GCD(224, 749) = ( 224 x 749 ) / 23968
= 224 / 749
= 224
Step2:
LCM(7, 682) = 4774
GCD(7, 682) = ( 7 x 682 ) / 4774
= 7 / 682
= 7
Step3:
LCM(1, 425) = 425
GCD(1, 425) = ( 1 x 425 ) / 425
= 1 / 425
= 1
So, Greatest Common Divisor of 224, 749, 682, 425 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 224, 749, 682, 425
The greatest common divisor of numbers 224, 749, 682, 425 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 749, 682, 425 is 1.
1. What is the GCD of 224, 749, 682, 425?
GCD of given numbers 224, 749, 682, 425 is 1
2. How to calculate the greatest common divisor of 224, 749, 682, 425?
We can find the highest common divisor of 224, 749, 682, 425 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, 749, 682, 425 i.e 1.
3. How can I use the GCD of 224, 749, 682, 425Calculator?
Out the numbers 224, 749, 682, 425 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.