Online GCD Calculator is useful to find the GCD of 921, 735, 988, 827 quickly. Get the easiest ways to solve the greatest common divisor of 921, 735, 988, 827 i.e 1 in different methods as follows.
Given Input numbers are 921, 735, 988, 827
In the factoring method, we have to find the divisors of all numbers
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 827 :
The positive integer divisors of 827 that completely divides 827 are.
1, 827
GCD of numbers is the greatest common divisor
So, the GCD (921, 735, 988, 827) = 1.
Given numbers are 921, 735, 988, 827
The list of prime factors of all numbers are
Prime factors of 921 are 3 x 307
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 827 are 827
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 921, 735, 988, 827
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(921, 735) = 225645
GCD(921, 735) = ( 921 x 735 ) / 225645
= 921 / 735
= 921
Step2:
LCM(3, 988) = 2964
GCD(3, 988) = ( 3 x 988 ) / 2964
= 3 / 988
= 3
Step3:
LCM(1, 827) = 827
GCD(1, 827) = ( 1 x 827 ) / 827
= 1 / 827
= 1
So, Greatest Common Divisor of 921, 735, 988, 827 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 921, 735, 988, 827
The greatest common divisor of numbers 921, 735, 988, 827 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 921, 735, 988, 827 is 1.
1. What is the GCD of 921, 735, 988, 827?
GCD of given numbers 921, 735, 988, 827 is 1
2. How to calculate the greatest common divisor of 921, 735, 988, 827?
We can find the highest common divisor of 921, 735, 988, 827 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 921, 735, 988, 827 i.e 1.
3. How can I use the GCD of 921, 735, 988, 827Calculator?
Out the numbers 921, 735, 988, 827 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.