Online GCD Calculator is useful to find the GCD of 868, 280, 896 quickly. Get the easiest ways to solve the greatest common divisor of 868, 280, 896 i.e 28 in different methods as follows.
Given Input numbers are 868, 280, 896
In the factoring method, we have to find the divisors of all numbers
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 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 896 :
The positive integer divisors of 896 that completely divides 896 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
GCD of numbers is the greatest common divisor
So, the GCD (868, 280, 896) = 28.
Given numbers are 868, 280, 896
The list of prime factors of all numbers are
Prime factors of 868 are 2 x 2 x 7 x 31
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
The highest common occurrence is 22 x 71
Therefore, GCD of 868, 280, 896 is 28.
Given numbers are 868, 280, 896
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(868, 280) = 8680
GCD(868, 280) = ( 868 x 280 ) / 8680
= 868 / 280
= 868
Step2:
LCM(28, 896) = 896
GCD(28, 896) = ( 28 x 896 ) / 896
= 28 / 896
= 28
So, Greatest Common Divisor of 868, 280, 896 is 28
Here are some samples of GCD of Numbers calculations.
Given numbers are 868, 280, 896
The greatest common divisor of numbers 868, 280, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 868, 280, 896 is 28.
1. What is the GCD of 868, 280, 896?
GCD of given numbers 868, 280, 896 is 28
2. How to calculate the greatest common divisor of 868, 280, 896?
We can find the highest common divisor of 868, 280, 896 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 868, 280, 896 i.e 28.
3. How can I use the GCD of 868, 280, 896Calculator?
Out the numbers 868, 280, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.