Online GCD Calculator is useful to find the GCD of 798, 297, 669, 753 quickly. Get the easiest ways to solve the greatest common divisor of 798, 297, 669, 753 i.e 3 in different methods as follows.
Given Input numbers are 798, 297, 669, 753
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 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 669 :
The positive integer divisors of 669 that completely divides 669 are.
1, 3, 223, 669
Divisors of 753 :
The positive integer divisors of 753 that completely divides 753 are.
1, 3, 251, 753
GCD of numbers is the greatest common divisor
So, the GCD (798, 297, 669, 753) = 3.
Given numbers are 798, 297, 669, 753
The list of prime factors of all numbers are
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 669 are 3 x 223
Prime factors of 753 are 3 x 251
The highest common occurrence is 31
Therefore, GCD of 798, 297, 669, 753 is 3.
Given numbers are 798, 297, 669, 753
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(798, 297) = 79002
GCD(798, 297) = ( 798 x 297 ) / 79002
= 798 / 297
= 798
Step2:
LCM(3, 669) = 669
GCD(3, 669) = ( 3 x 669 ) / 669
= 3 / 669
= 3
Step3:
LCM(3, 753) = 753
GCD(3, 753) = ( 3 x 753 ) / 753
= 3 / 753
= 3
So, Greatest Common Divisor of 798, 297, 669, 753 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 798, 297, 669, 753
The greatest common divisor of numbers 798, 297, 669, 753 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 297, 669, 753 is 3.
1. What is the GCD of 798, 297, 669, 753?
GCD of given numbers 798, 297, 669, 753 is 3
2. How to calculate the greatest common divisor of 798, 297, 669, 753?
We can find the highest common divisor of 798, 297, 669, 753 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, 297, 669, 753 i.e 3.
3. How can I use the GCD of 798, 297, 669, 753Calculator?
Out the numbers 798, 297, 669, 753 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.