Online GCD Calculator is useful to find the GCD of 948, 746, 988, 306 quickly. Get the easiest ways to solve the greatest common divisor of 948, 746, 988, 306 i.e 2 in different methods as follows.
Given Input numbers are 948, 746, 988, 306
In the factoring method, we have to find the divisors of all numbers
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
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 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
GCD of numbers is the greatest common divisor
So, the GCD (948, 746, 988, 306) = 2.
Given numbers are 948, 746, 988, 306
The list of prime factors of all numbers are
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 746 are 2 x 373
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 306 are 2 x 3 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 948, 746, 988, 306 is 2.
Given numbers are 948, 746, 988, 306
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(948, 746) = 353604
GCD(948, 746) = ( 948 x 746 ) / 353604
= 948 / 746
= 948
Step2:
LCM(2, 988) = 988
GCD(2, 988) = ( 2 x 988 ) / 988
= 2 / 988
= 2
Step3:
LCM(2, 306) = 306
GCD(2, 306) = ( 2 x 306 ) / 306
= 2 / 306
= 2
So, Greatest Common Divisor of 948, 746, 988, 306 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 948, 746, 988, 306
The greatest common divisor of numbers 948, 746, 988, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 746, 988, 306 is 2.
1. What is the GCD of 948, 746, 988, 306?
GCD of given numbers 948, 746, 988, 306 is 2
2. How to calculate the greatest common divisor of 948, 746, 988, 306?
We can find the highest common divisor of 948, 746, 988, 306 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 948, 746, 988, 306 i.e 2.
3. How can I use the GCD of 948, 746, 988, 306Calculator?
Out the numbers 948, 746, 988, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.