Online GCD Calculator is useful to find the GCD of 375, 564, 682, 706 quickly. Get the easiest ways to solve the greatest common divisor of 375, 564, 682, 706 i.e 1 in different methods as follows.
Given Input numbers are 375, 564, 682, 706
In the factoring method, we have to find the divisors of all numbers
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
GCD of numbers is the greatest common divisor
So, the GCD (375, 564, 682, 706) = 1.
Given numbers are 375, 564, 682, 706
The list of prime factors of all numbers are
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 682 are 2 x 11 x 31
Prime factors of 706 are 2 x 353
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 375, 564, 682, 706
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(375, 564) = 70500
GCD(375, 564) = ( 375 x 564 ) / 70500
= 375 / 564
= 375
Step2:
LCM(3, 682) = 2046
GCD(3, 682) = ( 3 x 682 ) / 2046
= 3 / 682
= 3
Step3:
LCM(1, 706) = 706
GCD(1, 706) = ( 1 x 706 ) / 706
= 1 / 706
= 1
So, Greatest Common Divisor of 375, 564, 682, 706 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 375, 564, 682, 706
The greatest common divisor of numbers 375, 564, 682, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 564, 682, 706 is 1.
1. What is the GCD of 375, 564, 682, 706?
GCD of given numbers 375, 564, 682, 706 is 1
2. How to calculate the greatest common divisor of 375, 564, 682, 706?
We can find the highest common divisor of 375, 564, 682, 706 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 375, 564, 682, 706 i.e 1.
3. How can I use the GCD of 375, 564, 682, 706Calculator?
Out the numbers 375, 564, 682, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.