Online GCD Calculator is useful to find the GCD of 954, 688, 602, 378 quickly. Get the easiest ways to solve the greatest common divisor of 954, 688, 602, 378 i.e 2 in different methods as follows.
Given Input numbers are 954, 688, 602, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 954 :
The positive integer divisors of 954 that completely divides 954 are.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 602 :
The positive integer divisors of 602 that completely divides 602 are.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD of numbers is the greatest common divisor
So, the GCD (954, 688, 602, 378) = 2.
Given numbers are 954, 688, 602, 378
The list of prime factors of all numbers are
Prime factors of 954 are 2 x 3 x 3 x 53
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 602 are 2 x 7 x 43
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 954, 688, 602, 378 is 2.
Given numbers are 954, 688, 602, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(954, 688) = 328176
GCD(954, 688) = ( 954 x 688 ) / 328176
= 954 / 688
= 954
Step2:
LCM(2, 602) = 602
GCD(2, 602) = ( 2 x 602 ) / 602
= 2 / 602
= 2
Step3:
LCM(2, 378) = 378
GCD(2, 378) = ( 2 x 378 ) / 378
= 2 / 378
= 2
So, Greatest Common Divisor of 954, 688, 602, 378 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 954, 688, 602, 378
The greatest common divisor of numbers 954, 688, 602, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 954, 688, 602, 378 is 2.
1. What is the GCD of 954, 688, 602, 378?
GCD of given numbers 954, 688, 602, 378 is 2
2. How to calculate the greatest common divisor of 954, 688, 602, 378?
We can find the highest common divisor of 954, 688, 602, 378 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 954, 688, 602, 378 i.e 2.
3. How can I use the GCD of 954, 688, 602, 378Calculator?
Out the numbers 954, 688, 602, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.