Online GCD Calculator is useful to find the GCD of 348, 676, 888, 540 quickly. Get the easiest ways to solve the greatest common divisor of 348, 676, 888, 540 i.e 4 in different methods as follows.
Given Input numbers are 348, 676, 888, 540
In the factoring method, we have to find the divisors of all numbers
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 888 :
The positive integer divisors of 888 that completely divides 888 are.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
GCD of numbers is the greatest common divisor
So, the GCD (348, 676, 888, 540) = 4.
Given numbers are 348, 676, 888, 540
The list of prime factors of all numbers are
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
The highest common occurrence is 22
Therefore, GCD of 348, 676, 888, 540 is 4.
Given numbers are 348, 676, 888, 540
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(348, 676) = 58812
GCD(348, 676) = ( 348 x 676 ) / 58812
= 348 / 676
= 348
Step2:
LCM(4, 888) = 888
GCD(4, 888) = ( 4 x 888 ) / 888
= 4 / 888
= 4
Step3:
LCM(4, 540) = 540
GCD(4, 540) = ( 4 x 540 ) / 540
= 4 / 540
= 4
So, Greatest Common Divisor of 348, 676, 888, 540 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 348, 676, 888, 540
The greatest common divisor of numbers 348, 676, 888, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 676, 888, 540 is 4.
1. What is the GCD of 348, 676, 888, 540?
GCD of given numbers 348, 676, 888, 540 is 4
2. How to calculate the greatest common divisor of 348, 676, 888, 540?
We can find the highest common divisor of 348, 676, 888, 540 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 348, 676, 888, 540 i.e 4.
3. How can I use the GCD of 348, 676, 888, 540Calculator?
Out the numbers 348, 676, 888, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.