Online GCD Calculator is useful to find the GCD of 971, 705, 890, 924 quickly. Get the easiest ways to solve the greatest common divisor of 971, 705, 890, 924 i.e 1 in different methods as follows.
Given Input numbers are 971, 705, 890, 924
In the factoring method, we have to find the divisors of all numbers
Divisors of 971 :
The positive integer divisors of 971 that completely divides 971 are.
1, 971
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
GCD of numbers is the greatest common divisor
So, the GCD (971, 705, 890, 924) = 1.
Given numbers are 971, 705, 890, 924
The list of prime factors of all numbers are
Prime factors of 971 are 971
Prime factors of 705 are 3 x 5 x 47
Prime factors of 890 are 2 x 5 x 89
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 971, 705, 890, 924
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(971, 705) = 684555
GCD(971, 705) = ( 971 x 705 ) / 684555
= 971 / 705
= 971
Step2:
LCM(1, 890) = 890
GCD(1, 890) = ( 1 x 890 ) / 890
= 1 / 890
= 1
Step3:
LCM(1, 924) = 924
GCD(1, 924) = ( 1 x 924 ) / 924
= 1 / 924
= 1
So, Greatest Common Divisor of 971, 705, 890, 924 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 971, 705, 890, 924
The greatest common divisor of numbers 971, 705, 890, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 705, 890, 924 is 1.
1. What is the GCD of 971, 705, 890, 924?
GCD of given numbers 971, 705, 890, 924 is 1
2. How to calculate the greatest common divisor of 971, 705, 890, 924?
We can find the highest common divisor of 971, 705, 890, 924 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 971, 705, 890, 924 i.e 1.
3. How can I use the GCD of 971, 705, 890, 924Calculator?
Out the numbers 971, 705, 890, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.