Online GCD Calculator is useful to find the GCD of 749, 428, 109, 838 quickly. Get the easiest ways to solve the greatest common divisor of 749, 428, 109, 838 i.e 1 in different methods as follows.
Given Input numbers are 749, 428, 109, 838
In the factoring method, we have to find the divisors of all numbers
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
GCD of numbers is the greatest common divisor
So, the GCD (749, 428, 109, 838) = 1.
Given numbers are 749, 428, 109, 838
The list of prime factors of all numbers are
Prime factors of 749 are 7 x 107
Prime factors of 428 are 2 x 2 x 107
Prime factors of 109 are 109
Prime factors of 838 are 2 x 419
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 749, 428, 109, 838
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(749, 428) = 2996
GCD(749, 428) = ( 749 x 428 ) / 2996
= 749 / 428
= 749
Step2:
LCM(107, 109) = 11663
GCD(107, 109) = ( 107 x 109 ) / 11663
= 107 / 109
= 107
Step3:
LCM(1, 838) = 838
GCD(1, 838) = ( 1 x 838 ) / 838
= 1 / 838
= 1
So, Greatest Common Divisor of 749, 428, 109, 838 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 749, 428, 109, 838
The greatest common divisor of numbers 749, 428, 109, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 428, 109, 838 is 1.
1. What is the GCD of 749, 428, 109, 838?
GCD of given numbers 749, 428, 109, 838 is 1
2. How to calculate the greatest common divisor of 749, 428, 109, 838?
We can find the highest common divisor of 749, 428, 109, 838 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 749, 428, 109, 838 i.e 1.
3. How can I use the GCD of 749, 428, 109, 838Calculator?
Out the numbers 749, 428, 109, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.