Online GCD Calculator is useful to find the GCD of 771, 636, 975, 378 quickly. Get the easiest ways to solve the greatest common divisor of 771, 636, 975, 378 i.e 3 in different methods as follows.
Given Input numbers are 771, 636, 975, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
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 (771, 636, 975, 378) = 3.
Given numbers are 771, 636, 975, 378
The list of prime factors of all numbers are
Prime factors of 771 are 3 x 257
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 771, 636, 975, 378 is 3.
Given numbers are 771, 636, 975, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(771, 636) = 163452
GCD(771, 636) = ( 771 x 636 ) / 163452
= 771 / 636
= 771
Step2:
LCM(3, 975) = 975
GCD(3, 975) = ( 3 x 975 ) / 975
= 3 / 975
= 3
Step3:
LCM(3, 378) = 378
GCD(3, 378) = ( 3 x 378 ) / 378
= 3 / 378
= 3
So, Greatest Common Divisor of 771, 636, 975, 378 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 771, 636, 975, 378
The greatest common divisor of numbers 771, 636, 975, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 771, 636, 975, 378 is 3.
1. What is the GCD of 771, 636, 975, 378?
GCD of given numbers 771, 636, 975, 378 is 3
2. How to calculate the greatest common divisor of 771, 636, 975, 378?
We can find the highest common divisor of 771, 636, 975, 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 771, 636, 975, 378 i.e 3.
3. How can I use the GCD of 771, 636, 975, 378Calculator?
Out the numbers 771, 636, 975, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.