Online GCD Calculator is useful to find the GCD of 749, 925, 398, 684 quickly. Get the easiest ways to solve the greatest common divisor of 749, 925, 398, 684 i.e 1 in different methods as follows.
Given Input numbers are 749, 925, 398, 684
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 925 :
The positive integer divisors of 925 that completely divides 925 are.
1, 5, 25, 37, 185, 925
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
GCD of numbers is the greatest common divisor
So, the GCD (749, 925, 398, 684) = 1.
Given numbers are 749, 925, 398, 684
The list of prime factors of all numbers are
Prime factors of 749 are 7 x 107
Prime factors of 925 are 5 x 5 x 37
Prime factors of 398 are 2 x 199
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 749, 925, 398, 684
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(749, 925) = 692825
GCD(749, 925) = ( 749 x 925 ) / 692825
= 749 / 925
= 749
Step2:
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
= 1 / 398
= 1
Step3:
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
= 1 / 684
= 1
So, Greatest Common Divisor of 749, 925, 398, 684 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 749, 925, 398, 684
The greatest common divisor of numbers 749, 925, 398, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 925, 398, 684 is 1.
1. What is the GCD of 749, 925, 398, 684?
GCD of given numbers 749, 925, 398, 684 is 1
2. How to calculate the greatest common divisor of 749, 925, 398, 684?
We can find the highest common divisor of 749, 925, 398, 684 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, 925, 398, 684 i.e 1.
3. How can I use the GCD of 749, 925, 398, 684Calculator?
Out the numbers 749, 925, 398, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.