Online GCD Calculator is useful to find the GCD of 747, 606, 798, 678 quickly. Get the easiest ways to solve the greatest common divisor of 747, 606, 798, 678 i.e 3 in different methods as follows.
Given Input numbers are 747, 606, 798, 678
In the factoring method, we have to find the divisors of all numbers
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
Divisors of 606 :
The positive integer divisors of 606 that completely divides 606 are.
1, 2, 3, 6, 101, 202, 303, 606
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
GCD of numbers is the greatest common divisor
So, the GCD (747, 606, 798, 678) = 3.
Given numbers are 747, 606, 798, 678
The list of prime factors of all numbers are
Prime factors of 747 are 3 x 3 x 83
Prime factors of 606 are 2 x 3 x 101
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 678 are 2 x 3 x 113
The highest common occurrence is 31
Therefore, GCD of 747, 606, 798, 678 is 3.
Given numbers are 747, 606, 798, 678
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(747, 606) = 150894
GCD(747, 606) = ( 747 x 606 ) / 150894
= 747 / 606
= 747
Step2:
LCM(3, 798) = 798
GCD(3, 798) = ( 3 x 798 ) / 798
= 3 / 798
= 3
Step3:
LCM(3, 678) = 678
GCD(3, 678) = ( 3 x 678 ) / 678
= 3 / 678
= 3
So, Greatest Common Divisor of 747, 606, 798, 678 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 747, 606, 798, 678
The greatest common divisor of numbers 747, 606, 798, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 606, 798, 678 is 3.
1. What is the GCD of 747, 606, 798, 678?
GCD of given numbers 747, 606, 798, 678 is 3
2. How to calculate the greatest common divisor of 747, 606, 798, 678?
We can find the highest common divisor of 747, 606, 798, 678 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 747, 606, 798, 678 i.e 3.
3. How can I use the GCD of 747, 606, 798, 678Calculator?
Out the numbers 747, 606, 798, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.