Online GCD Calculator is useful to find the GCD of 221, 975, 861, 742 quickly. Get the easiest ways to solve the greatest common divisor of 221, 975, 861, 742 i.e 1 in different methods as follows.
Given Input numbers are 221, 975, 861, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (221, 975, 861, 742) = 1.
Given numbers are 221, 975, 861, 742
The list of prime factors of all numbers are
Prime factors of 221 are 13 x 17
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 861 are 3 x 7 x 41
Prime factors of 742 are 2 x 7 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 221, 975, 861, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(221, 975) = 16575
GCD(221, 975) = ( 221 x 975 ) / 16575
= 221 / 975
= 221
Step2:
LCM(13, 861) = 11193
GCD(13, 861) = ( 13 x 861 ) / 11193
= 13 / 861
= 13
Step3:
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
= 1 / 742
= 1
So, Greatest Common Divisor of 221, 975, 861, 742 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 221, 975, 861, 742
The greatest common divisor of numbers 221, 975, 861, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 221, 975, 861, 742 is 1.
1. What is the GCD of 221, 975, 861, 742?
GCD of given numbers 221, 975, 861, 742 is 1
2. How to calculate the greatest common divisor of 221, 975, 861, 742?
We can find the highest common divisor of 221, 975, 861, 742 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 221, 975, 861, 742 i.e 1.
3. How can I use the GCD of 221, 975, 861, 742Calculator?
Out the numbers 221, 975, 861, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.