Online GCD Calculator is useful to find the GCD of 698, 614, 890, 340 quickly. Get the easiest ways to solve the greatest common divisor of 698, 614, 890, 340 i.e 2 in different methods as follows.
Given Input numbers are 698, 614, 890, 340
In the factoring method, we have to find the divisors of all numbers
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
GCD of numbers is the greatest common divisor
So, the GCD (698, 614, 890, 340) = 2.
Given numbers are 698, 614, 890, 340
The list of prime factors of all numbers are
Prime factors of 698 are 2 x 349
Prime factors of 614 are 2 x 307
Prime factors of 890 are 2 x 5 x 89
Prime factors of 340 are 2 x 2 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 698, 614, 890, 340 is 2.
Given numbers are 698, 614, 890, 340
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(698, 614) = 214286
GCD(698, 614) = ( 698 x 614 ) / 214286
= 698 / 614
= 698
Step2:
LCM(2, 890) = 890
GCD(2, 890) = ( 2 x 890 ) / 890
= 2 / 890
= 2
Step3:
LCM(2, 340) = 340
GCD(2, 340) = ( 2 x 340 ) / 340
= 2 / 340
= 2
So, Greatest Common Divisor of 698, 614, 890, 340 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 698, 614, 890, 340
The greatest common divisor of numbers 698, 614, 890, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 614, 890, 340 is 2.
1. What is the GCD of 698, 614, 890, 340?
GCD of given numbers 698, 614, 890, 340 is 2
2. How to calculate the greatest common divisor of 698, 614, 890, 340?
We can find the highest common divisor of 698, 614, 890, 340 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 698, 614, 890, 340 i.e 2.
3. How can I use the GCD of 698, 614, 890, 340Calculator?
Out the numbers 698, 614, 890, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.