Online GCD Calculator is useful to find the GCD of 498, 777, 549, 354 quickly. Get the easiest ways to solve the greatest common divisor of 498, 777, 549, 354 i.e 3 in different methods as follows.
Given Input numbers are 498, 777, 549, 354
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 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 549 :
The positive integer divisors of 549 that completely divides 549 are.
1, 3, 9, 61, 183, 549
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
GCD of numbers is the greatest common divisor
So, the GCD (498, 777, 549, 354) = 3.
Given numbers are 498, 777, 549, 354
The list of prime factors of all numbers are
Prime factors of 498 are 2 x 3 x 83
Prime factors of 777 are 3 x 7 x 37
Prime factors of 549 are 3 x 3 x 61
Prime factors of 354 are 2 x 3 x 59
The highest common occurrence is 31
Therefore, GCD of 498, 777, 549, 354 is 3.
Given numbers are 498, 777, 549, 354
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(498, 777) = 128982
GCD(498, 777) = ( 498 x 777 ) / 128982
= 498 / 777
= 498
Step2:
LCM(3, 549) = 549
GCD(3, 549) = ( 3 x 549 ) / 549
= 3 / 549
= 3
Step3:
LCM(3, 354) = 354
GCD(3, 354) = ( 3 x 354 ) / 354
= 3 / 354
= 3
So, Greatest Common Divisor of 498, 777, 549, 354 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 498, 777, 549, 354
The greatest common divisor of numbers 498, 777, 549, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 777, 549, 354 is 3.
1. What is the GCD of 498, 777, 549, 354?
GCD of given numbers 498, 777, 549, 354 is 3
2. How to calculate the greatest common divisor of 498, 777, 549, 354?
We can find the highest common divisor of 498, 777, 549, 354 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, 777, 549, 354 i.e 3.
3. How can I use the GCD of 498, 777, 549, 354Calculator?
Out the numbers 498, 777, 549, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.