Online GCD Calculator is useful to find the GCD of 701, 848, 990, 214 quickly. Get the easiest ways to solve the greatest common divisor of 701, 848, 990, 214 i.e 1 in different methods as follows.
Given Input numbers are 701, 848, 990, 214
In the factoring method, we have to find the divisors of all numbers
Divisors of 701 :
The positive integer divisors of 701 that completely divides 701 are.
1, 701
Divisors of 848 :
The positive integer divisors of 848 that completely divides 848 are.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
GCD of numbers is the greatest common divisor
So, the GCD (701, 848, 990, 214) = 1.
Given numbers are 701, 848, 990, 214
The list of prime factors of all numbers are
Prime factors of 701 are 701
Prime factors of 848 are 2 x 2 x 2 x 2 x 53
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 214 are 2 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 701, 848, 990, 214
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(701, 848) = 594448
GCD(701, 848) = ( 701 x 848 ) / 594448
= 701 / 848
= 701
Step2:
LCM(1, 990) = 990
GCD(1, 990) = ( 1 x 990 ) / 990
= 1 / 990
= 1
Step3:
LCM(1, 214) = 214
GCD(1, 214) = ( 1 x 214 ) / 214
= 1 / 214
= 1
So, Greatest Common Divisor of 701, 848, 990, 214 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 701, 848, 990, 214
The greatest common divisor of numbers 701, 848, 990, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 701, 848, 990, 214 is 1.
1. What is the GCD of 701, 848, 990, 214?
GCD of given numbers 701, 848, 990, 214 is 1
2. How to calculate the greatest common divisor of 701, 848, 990, 214?
We can find the highest common divisor of 701, 848, 990, 214 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 701, 848, 990, 214 i.e 1.
3. How can I use the GCD of 701, 848, 990, 214Calculator?
Out the numbers 701, 848, 990, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.