Online GCD Calculator is useful to find the GCD of 678, 196, 964, 948 quickly. Get the easiest ways to solve the greatest common divisor of 678, 196, 964, 948 i.e 2 in different methods as follows.
Given Input numbers are 678, 196, 964, 948
In the factoring method, we have to find the divisors of all numbers
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
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
GCD of numbers is the greatest common divisor
So, the GCD (678, 196, 964, 948) = 2.
Given numbers are 678, 196, 964, 948
The list of prime factors of all numbers are
Prime factors of 678 are 2 x 3 x 113
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 964 are 2 x 2 x 241
Prime factors of 948 are 2 x 2 x 3 x 79
The highest common occurrence is 21
Therefore, GCD of 678, 196, 964, 948 is 2.
Given numbers are 678, 196, 964, 948
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(678, 196) = 66444
GCD(678, 196) = ( 678 x 196 ) / 66444
= 678 / 196
= 678
Step2:
LCM(2, 964) = 964
GCD(2, 964) = ( 2 x 964 ) / 964
= 2 / 964
= 2
Step3:
LCM(2, 948) = 948
GCD(2, 948) = ( 2 x 948 ) / 948
= 2 / 948
= 2
So, Greatest Common Divisor of 678, 196, 964, 948 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 678, 196, 964, 948
The greatest common divisor of numbers 678, 196, 964, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 196, 964, 948 is 2.
1. What is the GCD of 678, 196, 964, 948?
GCD of given numbers 678, 196, 964, 948 is 2
2. How to calculate the greatest common divisor of 678, 196, 964, 948?
We can find the highest common divisor of 678, 196, 964, 948 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 678, 196, 964, 948 i.e 2.
3. How can I use the GCD of 678, 196, 964, 948Calculator?
Out the numbers 678, 196, 964, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.