Online GCD Calculator is useful to find the GCD of 848, 614, 420, 313 quickly. Get the easiest ways to solve the greatest common divisor of 848, 614, 420, 313 i.e 1 in different methods as follows.
Given Input numbers are 848, 614, 420, 313
In the factoring method, we have to find the divisors of all numbers
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 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
GCD of numbers is the greatest common divisor
So, the GCD (848, 614, 420, 313) = 1.
Given numbers are 848, 614, 420, 313
The list of prime factors of all numbers are
Prime factors of 848 are 2 x 2 x 2 x 2 x 53
Prime factors of 614 are 2 x 307
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 313 are 313
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 848, 614, 420, 313
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(848, 614) = 260336
GCD(848, 614) = ( 848 x 614 ) / 260336
= 848 / 614
= 848
Step2:
LCM(2, 420) = 420
GCD(2, 420) = ( 2 x 420 ) / 420
= 2 / 420
= 2
Step3:
LCM(2, 313) = 626
GCD(2, 313) = ( 2 x 313 ) / 626
= 2 / 313
= 2
So, Greatest Common Divisor of 848, 614, 420, 313 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 848, 614, 420, 313
The greatest common divisor of numbers 848, 614, 420, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 848, 614, 420, 313 is 1.
1. What is the GCD of 848, 614, 420, 313?
GCD of given numbers 848, 614, 420, 313 is 1
2. How to calculate the greatest common divisor of 848, 614, 420, 313?
We can find the highest common divisor of 848, 614, 420, 313 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 848, 614, 420, 313 i.e 1.
3. How can I use the GCD of 848, 614, 420, 313Calculator?
Out the numbers 848, 614, 420, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.