Online GCD Calculator is useful to find the GCD of 534, 240, 900, 279 quickly. Get the easiest ways to solve the greatest common divisor of 534, 240, 900, 279 i.e 3 in different methods as follows.
Given Input numbers are 534, 240, 900, 279
In the factoring method, we have to find the divisors of all numbers
Divisors of 534 :
The positive integer divisors of 534 that completely divides 534 are.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 279 :
The positive integer divisors of 279 that completely divides 279 are.
1, 3, 9, 31, 93, 279
GCD of numbers is the greatest common divisor
So, the GCD (534, 240, 900, 279) = 3.
Given numbers are 534, 240, 900, 279
The list of prime factors of all numbers are
Prime factors of 534 are 2 x 3 x 89
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 279 are 3 x 3 x 31
The highest common occurrence is 31
Therefore, GCD of 534, 240, 900, 279 is 3.
Given numbers are 534, 240, 900, 279
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(534, 240) = 21360
GCD(534, 240) = ( 534 x 240 ) / 21360
= 534 / 240
= 534
Step2:
LCM(6, 900) = 900
GCD(6, 900) = ( 6 x 900 ) / 900
= 6 / 900
= 6
Step3:
LCM(6, 279) = 558
GCD(6, 279) = ( 6 x 279 ) / 558
= 6 / 279
= 6
So, Greatest Common Divisor of 534, 240, 900, 279 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 534, 240, 900, 279
The greatest common divisor of numbers 534, 240, 900, 279 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 534, 240, 900, 279 is 3.
1. What is the GCD of 534, 240, 900, 279?
GCD of given numbers 534, 240, 900, 279 is 3
2. How to calculate the greatest common divisor of 534, 240, 900, 279?
We can find the highest common divisor of 534, 240, 900, 279 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 534, 240, 900, 279 i.e 3.
3. How can I use the GCD of 534, 240, 900, 279Calculator?
Out the numbers 534, 240, 900, 279 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.