Online GCD Calculator is useful to find the GCD of 690, 888, 308, 750 quickly. Get the easiest ways to solve the greatest common divisor of 690, 888, 308, 750 i.e 2 in different methods as follows.
Given Input numbers are 690, 888, 308, 750
In the factoring method, we have to find the divisors of all numbers
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 888 :
The positive integer divisors of 888 that completely divides 888 are.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
GCD of numbers is the greatest common divisor
So, the GCD (690, 888, 308, 750) = 2.
Given numbers are 690, 888, 308, 750
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 690, 888, 308, 750 is 2.
Given numbers are 690, 888, 308, 750
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 888) = 102120
GCD(690, 888) = ( 690 x 888 ) / 102120
= 690 / 888
= 690
Step2:
LCM(6, 308) = 924
GCD(6, 308) = ( 6 x 308 ) / 924
= 6 / 308
= 6
Step3:
LCM(2, 750) = 750
GCD(2, 750) = ( 2 x 750 ) / 750
= 2 / 750
= 2
So, Greatest Common Divisor of 690, 888, 308, 750 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 888, 308, 750
The greatest common divisor of numbers 690, 888, 308, 750 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 888, 308, 750 is 2.
1. What is the GCD of 690, 888, 308, 750?
GCD of given numbers 690, 888, 308, 750 is 2
2. How to calculate the greatest common divisor of 690, 888, 308, 750?
We can find the highest common divisor of 690, 888, 308, 750 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 690, 888, 308, 750 i.e 2.
3. How can I use the GCD of 690, 888, 308, 750Calculator?
Out the numbers 690, 888, 308, 750 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.