Online GCD Calculator is useful to find the GCD of 867, 688, 49, 896 quickly. Get the easiest ways to solve the greatest common divisor of 867, 688, 49, 896 i.e 1 in different methods as follows.
Given Input numbers are 867, 688, 49, 896
In the factoring method, we have to find the divisors of all numbers
Divisors of 867 :
The positive integer divisors of 867 that completely divides 867 are.
1, 3, 17, 51, 289, 867
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 49 :
The positive integer divisors of 49 that completely divides 49 are.
1, 7, 49
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 (867, 688, 49, 896) = 1.
Given numbers are 867, 688, 49, 896
The list of prime factors of all numbers are
Prime factors of 867 are 3 x 17 x 17
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 49 are 7 x 7
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 867, 688, 49, 896
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(867, 688) = 596496
GCD(867, 688) = ( 867 x 688 ) / 596496
= 867 / 688
= 867
Step2:
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
= 1 / 49
= 1
Step3:
LCM(1, 896) = 896
GCD(1, 896) = ( 1 x 896 ) / 896
= 1 / 896
= 1
So, Greatest Common Divisor of 867, 688, 49, 896 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 867, 688, 49, 896
The greatest common divisor of numbers 867, 688, 49, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 867, 688, 49, 896 is 1.
1. What is the GCD of 867, 688, 49, 896?
GCD of given numbers 867, 688, 49, 896 is 1
2. How to calculate the greatest common divisor of 867, 688, 49, 896?
We can find the highest common divisor of 867, 688, 49, 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 867, 688, 49, 896 i.e 1.
3. How can I use the GCD of 867, 688, 49, 896Calculator?
Out the numbers 867, 688, 49, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.