Online GCD Calculator is useful to find the GCD of 736, 675, 902, 749 quickly. Get the easiest ways to solve the greatest common divisor of 736, 675, 902, 749 i.e 1 in different methods as follows.
Given Input numbers are 736, 675, 902, 749
In the factoring method, we have to find the divisors of all numbers
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
GCD of numbers is the greatest common divisor
So, the GCD (736, 675, 902, 749) = 1.
Given numbers are 736, 675, 902, 749
The list of prime factors of all numbers are
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 902 are 2 x 11 x 41
Prime factors of 749 are 7 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 736, 675, 902, 749
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(736, 675) = 496800
GCD(736, 675) = ( 736 x 675 ) / 496800
= 736 / 675
= 736
Step2:
LCM(1, 902) = 902
GCD(1, 902) = ( 1 x 902 ) / 902
= 1 / 902
= 1
Step3:
LCM(1, 749) = 749
GCD(1, 749) = ( 1 x 749 ) / 749
= 1 / 749
= 1
So, Greatest Common Divisor of 736, 675, 902, 749 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 736, 675, 902, 749
The greatest common divisor of numbers 736, 675, 902, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 675, 902, 749 is 1.
1. What is the GCD of 736, 675, 902, 749?
GCD of given numbers 736, 675, 902, 749 is 1
2. How to calculate the greatest common divisor of 736, 675, 902, 749?
We can find the highest common divisor of 736, 675, 902, 749 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 736, 675, 902, 749 i.e 1.
3. How can I use the GCD of 736, 675, 902, 749Calculator?
Out the numbers 736, 675, 902, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.