Online GCD Calculator is useful to find the GCD of 840, 690, 624, 313 quickly. Get the easiest ways to solve the greatest common divisor of 840, 690, 624, 313 i.e 1 in different methods as follows.
Given Input numbers are 840, 690, 624, 313
In the factoring method, we have to find the divisors of all numbers
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
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 (840, 690, 624, 313) = 1.
Given numbers are 840, 690, 624, 313
The list of prime factors of all numbers are
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 313 are 313
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 840, 690, 624, 313
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(840, 690) = 19320
GCD(840, 690) = ( 840 x 690 ) / 19320
= 840 / 690
= 840
Step2:
LCM(30, 624) = 3120
GCD(30, 624) = ( 30 x 624 ) / 3120
= 30 / 624
= 30
Step3:
LCM(6, 313) = 1878
GCD(6, 313) = ( 6 x 313 ) / 1878
= 6 / 313
= 6
So, Greatest Common Divisor of 840, 690, 624, 313 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 840, 690, 624, 313
The greatest common divisor of numbers 840, 690, 624, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 690, 624, 313 is 1.
1. What is the GCD of 840, 690, 624, 313?
GCD of given numbers 840, 690, 624, 313 is 1
2. How to calculate the greatest common divisor of 840, 690, 624, 313?
We can find the highest common divisor of 840, 690, 624, 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 840, 690, 624, 313 i.e 1.
3. How can I use the GCD of 840, 690, 624, 313Calculator?
Out the numbers 840, 690, 624, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.