Online GCD Calculator is useful to find the GCD of 567, 702, 740, 678 quickly. Get the easiest ways to solve the greatest common divisor of 567, 702, 740, 678 i.e 1 in different methods as follows.
Given Input numbers are 567, 702, 740, 678
In the factoring method, we have to find the divisors of all numbers
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
GCD of numbers is the greatest common divisor
So, the GCD (567, 702, 740, 678) = 1.
Given numbers are 567, 702, 740, 678
The list of prime factors of all numbers are
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 678 are 2 x 3 x 113
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 567, 702, 740, 678
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(567, 702) = 14742
GCD(567, 702) = ( 567 x 702 ) / 14742
= 567 / 702
= 567
Step2:
LCM(27, 740) = 19980
GCD(27, 740) = ( 27 x 740 ) / 19980
= 27 / 740
= 27
Step3:
LCM(1, 678) = 678
GCD(1, 678) = ( 1 x 678 ) / 678
= 1 / 678
= 1
So, Greatest Common Divisor of 567, 702, 740, 678 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 567, 702, 740, 678
The greatest common divisor of numbers 567, 702, 740, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 702, 740, 678 is 1.
1. What is the GCD of 567, 702, 740, 678?
GCD of given numbers 567, 702, 740, 678 is 1
2. How to calculate the greatest common divisor of 567, 702, 740, 678?
We can find the highest common divisor of 567, 702, 740, 678 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 567, 702, 740, 678 i.e 1.
3. How can I use the GCD of 567, 702, 740, 678Calculator?
Out the numbers 567, 702, 740, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.