Online GCD Calculator is useful to find the GCD of 968, 624, 784 quickly. Get the easiest ways to solve the greatest common divisor of 968, 624, 784 i.e 8 in different methods as follows.
Given Input numbers are 968, 624, 784
In the factoring method, we have to find the divisors of all numbers
Divisors of 968 :
The positive integer divisors of 968 that completely divides 968 are.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
GCD of numbers is the greatest common divisor
So, the GCD (968, 624, 784) = 8.
Given numbers are 968, 624, 784
The list of prime factors of all numbers are
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
The highest common occurrence is 23
Therefore, GCD of 968, 624, 784 is 8.
Given numbers are 968, 624, 784
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(968, 624) = 75504
GCD(968, 624) = ( 968 x 624 ) / 75504
= 968 / 624
= 968
Step2:
LCM(8, 784) = 784
GCD(8, 784) = ( 8 x 784 ) / 784
= 8 / 784
= 8
So, Greatest Common Divisor of 968, 624, 784 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 968, 624, 784
The greatest common divisor of numbers 968, 624, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 968, 624, 784 is 8.
1. What is the GCD of 968, 624, 784?
GCD of given numbers 968, 624, 784 is 8
2. How to calculate the greatest common divisor of 968, 624, 784?
We can find the highest common divisor of 968, 624, 784 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 968, 624, 784 i.e 8.
3. How can I use the GCD of 968, 624, 784Calculator?
Out the numbers 968, 624, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.