Online GCD Calculator is useful to find the GCD of 498, 868, 468, 743 quickly. Get the easiest ways to solve the greatest common divisor of 498, 868, 468, 743 i.e 1 in different methods as follows.
Given Input numbers are 498, 868, 468, 743
In the factoring method, we have to find the divisors of all numbers
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 868 :
The positive integer divisors of 868 that completely divides 868 are.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 743 :
The positive integer divisors of 743 that completely divides 743 are.
1, 743
GCD of numbers is the greatest common divisor
So, the GCD (498, 868, 468, 743) = 1.
Given numbers are 498, 868, 468, 743
The list of prime factors of all numbers are
Prime factors of 498 are 2 x 3 x 83
Prime factors of 868 are 2 x 2 x 7 x 31
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 743 are 743
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 498, 868, 468, 743
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(498, 868) = 216132
GCD(498, 868) = ( 498 x 868 ) / 216132
= 498 / 868
= 498
Step2:
LCM(2, 468) = 468
GCD(2, 468) = ( 2 x 468 ) / 468
= 2 / 468
= 2
Step3:
LCM(2, 743) = 1486
GCD(2, 743) = ( 2 x 743 ) / 1486
= 2 / 743
= 2
So, Greatest Common Divisor of 498, 868, 468, 743 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 498, 868, 468, 743
The greatest common divisor of numbers 498, 868, 468, 743 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 868, 468, 743 is 1.
1. What is the GCD of 498, 868, 468, 743?
GCD of given numbers 498, 868, 468, 743 is 1
2. How to calculate the greatest common divisor of 498, 868, 468, 743?
We can find the highest common divisor of 498, 868, 468, 743 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 498, 868, 468, 743 i.e 1.
3. How can I use the GCD of 498, 868, 468, 743Calculator?
Out the numbers 498, 868, 468, 743 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.