Online GCD Calculator is useful to find the GCD of 297, 814, 748 quickly. Get the easiest ways to solve the greatest common divisor of 297, 814, 748 i.e 11 in different methods as follows.
Given Input numbers are 297, 814, 748
In the factoring method, we have to find the divisors of all numbers
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
GCD of numbers is the greatest common divisor
So, the GCD (297, 814, 748) = 11.
Given numbers are 297, 814, 748
The list of prime factors of all numbers are
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 814 are 2 x 11 x 37
Prime factors of 748 are 2 x 2 x 11 x 17
The highest common occurrence is 111
Therefore, GCD of 297, 814, 748 is 11.
Given numbers are 297, 814, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(297, 814) = 21978
GCD(297, 814) = ( 297 x 814 ) / 21978
= 297 / 814
= 297
Step2:
LCM(11, 748) = 748
GCD(11, 748) = ( 11 x 748 ) / 748
= 11 / 748
= 11
So, Greatest Common Divisor of 297, 814, 748 is 11
Here are some samples of GCD of Numbers calculations.
Given numbers are 297, 814, 748
The greatest common divisor of numbers 297, 814, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 814, 748 is 11.
1. What is the GCD of 297, 814, 748?
GCD of given numbers 297, 814, 748 is 11
2. How to calculate the greatest common divisor of 297, 814, 748?
We can find the highest common divisor of 297, 814, 748 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 297, 814, 748 i.e 11.
3. How can I use the GCD of 297, 814, 748Calculator?
Out the numbers 297, 814, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.