Online GCD Calculator is useful to find the GCD of 747, 618, 714, 825 quickly. Get the easiest ways to solve the greatest common divisor of 747, 618, 714, 825 i.e 3 in different methods as follows.
Given Input numbers are 747, 618, 714, 825
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 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
GCD of numbers is the greatest common divisor
So, the GCD (747, 618, 714, 825) = 3.
Given numbers are 747, 618, 714, 825
The list of prime factors of all numbers are
Prime factors of 747 are 3 x 3 x 83
Prime factors of 618 are 2 x 3 x 103
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 825 are 3 x 5 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 747, 618, 714, 825 is 3.
Given numbers are 747, 618, 714, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(747, 618) = 153882
GCD(747, 618) = ( 747 x 618 ) / 153882
= 747 / 618
= 747
Step2:
LCM(3, 714) = 714
GCD(3, 714) = ( 3 x 714 ) / 714
= 3 / 714
= 3
Step3:
LCM(3, 825) = 825
GCD(3, 825) = ( 3 x 825 ) / 825
= 3 / 825
= 3
So, Greatest Common Divisor of 747, 618, 714, 825 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 747, 618, 714, 825
The greatest common divisor of numbers 747, 618, 714, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 618, 714, 825 is 3.
1. What is the GCD of 747, 618, 714, 825?
GCD of given numbers 747, 618, 714, 825 is 3
2. How to calculate the greatest common divisor of 747, 618, 714, 825?
We can find the highest common divisor of 747, 618, 714, 825 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, 618, 714, 825 i.e 3.
3. How can I use the GCD of 747, 618, 714, 825Calculator?
Out the numbers 747, 618, 714, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.