Online GCD Calculator is useful to find the GCD of 868, 574, 748, 697 quickly. Get the easiest ways to solve the greatest common divisor of 868, 574, 748, 697 i.e 1 in different methods as follows.
Given Input numbers are 868, 574, 748, 697
In the factoring method, we have to find the divisors of all numbers
Divisors of 868 :
The positive integer divisors of 868 that completely divides 868 are.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 574 :
The positive integer divisors of 574 that completely divides 574 are.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
GCD of numbers is the greatest common divisor
So, the GCD (868, 574, 748, 697) = 1.
Given numbers are 868, 574, 748, 697
The list of prime factors of all numbers are
Prime factors of 868 are 2 x 2 x 7 x 31
Prime factors of 574 are 2 x 7 x 41
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 697 are 17 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 868, 574, 748, 697
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(868, 574) = 35588
GCD(868, 574) = ( 868 x 574 ) / 35588
= 868 / 574
= 868
Step2:
LCM(14, 748) = 5236
GCD(14, 748) = ( 14 x 748 ) / 5236
= 14 / 748
= 14
Step3:
LCM(2, 697) = 1394
GCD(2, 697) = ( 2 x 697 ) / 1394
= 2 / 697
= 2
So, Greatest Common Divisor of 868, 574, 748, 697 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 868, 574, 748, 697
The greatest common divisor of numbers 868, 574, 748, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 868, 574, 748, 697 is 1.
1. What is the GCD of 868, 574, 748, 697?
GCD of given numbers 868, 574, 748, 697 is 1
2. How to calculate the greatest common divisor of 868, 574, 748, 697?
We can find the highest common divisor of 868, 574, 748, 697 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 868, 574, 748, 697 i.e 1.
3. How can I use the GCD of 868, 574, 748, 697Calculator?
Out the numbers 868, 574, 748, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.