Online GCD Calculator is useful to find the GCD of 798, 399, 597, 153 quickly. Get the easiest ways to solve the greatest common divisor of 798, 399, 597, 153 i.e 3 in different methods as follows.
Given Input numbers are 798, 399, 597, 153
In the factoring method, we have to find the divisors of all numbers
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 597 :
The positive integer divisors of 597 that completely divides 597 are.
1, 3, 199, 597
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
GCD of numbers is the greatest common divisor
So, the GCD (798, 399, 597, 153) = 3.
Given numbers are 798, 399, 597, 153
The list of prime factors of all numbers are
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 399 are 3 x 7 x 19
Prime factors of 597 are 3 x 199
Prime factors of 153 are 3 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 798, 399, 597, 153 is 3.
Given numbers are 798, 399, 597, 153
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(798, 399) = 798
GCD(798, 399) = ( 798 x 399 ) / 798
= 798 / 399
= 798
Step2:
LCM(399, 597) = 79401
GCD(399, 597) = ( 399 x 597 ) / 79401
= 399 / 597
= 399
Step3:
LCM(3, 153) = 153
GCD(3, 153) = ( 3 x 153 ) / 153
= 3 / 153
= 3
So, Greatest Common Divisor of 798, 399, 597, 153 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 798, 399, 597, 153
The greatest common divisor of numbers 798, 399, 597, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 399, 597, 153 is 3.
1. What is the GCD of 798, 399, 597, 153?
GCD of given numbers 798, 399, 597, 153 is 3
2. How to calculate the greatest common divisor of 798, 399, 597, 153?
We can find the highest common divisor of 798, 399, 597, 153 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 798, 399, 597, 153 i.e 3.
3. How can I use the GCD of 798, 399, 597, 153Calculator?
Out the numbers 798, 399, 597, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.