Online GCD Calculator is useful to find the GCD of 398, 700, 545, 892 quickly. Get the easiest ways to solve the greatest common divisor of 398, 700, 545, 892 i.e 1 in different methods as follows.
Given Input numbers are 398, 700, 545, 892
In the factoring method, we have to find the divisors of all numbers
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 545 :
The positive integer divisors of 545 that completely divides 545 are.
1, 5, 109, 545
Divisors of 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
GCD of numbers is the greatest common divisor
So, the GCD (398, 700, 545, 892) = 1.
Given numbers are 398, 700, 545, 892
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 545 are 5 x 109
Prime factors of 892 are 2 x 2 x 223
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 398, 700, 545, 892
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 700) = 139300
GCD(398, 700) = ( 398 x 700 ) / 139300
= 398 / 700
= 398
Step2:
LCM(2, 545) = 1090
GCD(2, 545) = ( 2 x 545 ) / 1090
= 2 / 545
= 2
Step3:
LCM(1, 892) = 892
GCD(1, 892) = ( 1 x 892 ) / 892
= 1 / 892
= 1
So, Greatest Common Divisor of 398, 700, 545, 892 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 700, 545, 892
The greatest common divisor of numbers 398, 700, 545, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 700, 545, 892 is 1.
1. What is the GCD of 398, 700, 545, 892?
GCD of given numbers 398, 700, 545, 892 is 1
2. How to calculate the greatest common divisor of 398, 700, 545, 892?
We can find the highest common divisor of 398, 700, 545, 892 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 398, 700, 545, 892 i.e 1.
3. How can I use the GCD of 398, 700, 545, 892Calculator?
Out the numbers 398, 700, 545, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.