Online GCD Calculator is useful to find the GCD of 714, 836, 988, 550 quickly. Get the easiest ways to solve the greatest common divisor of 714, 836, 988, 550 i.e 2 in different methods as follows.
Given Input numbers are 714, 836, 988, 550
In the factoring method, we have to find the divisors of all numbers
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 836 :
The positive integer divisors of 836 that completely divides 836 are.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
GCD of numbers is the greatest common divisor
So, the GCD (714, 836, 988, 550) = 2.
Given numbers are 714, 836, 988, 550
The list of prime factors of all numbers are
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 836 are 2 x 2 x 11 x 19
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 550 are 2 x 5 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 714, 836, 988, 550 is 2.
Given numbers are 714, 836, 988, 550
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(714, 836) = 298452
GCD(714, 836) = ( 714 x 836 ) / 298452
= 714 / 836
= 714
Step2:
LCM(2, 988) = 988
GCD(2, 988) = ( 2 x 988 ) / 988
= 2 / 988
= 2
Step3:
LCM(2, 550) = 550
GCD(2, 550) = ( 2 x 550 ) / 550
= 2 / 550
= 2
So, Greatest Common Divisor of 714, 836, 988, 550 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 714, 836, 988, 550
The greatest common divisor of numbers 714, 836, 988, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 836, 988, 550 is 2.
1. What is the GCD of 714, 836, 988, 550?
GCD of given numbers 714, 836, 988, 550 is 2
2. How to calculate the greatest common divisor of 714, 836, 988, 550?
We can find the highest common divisor of 714, 836, 988, 550 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 714, 836, 988, 550 i.e 2.
3. How can I use the GCD of 714, 836, 988, 550Calculator?
Out the numbers 714, 836, 988, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.