Online GCD Calculator is useful to find the GCD of 768, 420, 552, 678 quickly. Get the easiest ways to solve the greatest common divisor of 768, 420, 552, 678 i.e 6 in different methods as follows.
Given Input numbers are 768, 420, 552, 678
In the factoring method, we have to find the divisors of all numbers
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
GCD of numbers is the greatest common divisor
So, the GCD (768, 420, 552, 678) = 6.
Given numbers are 768, 420, 552, 678
The list of prime factors of all numbers are
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
Prime factors of 678 are 2 x 3 x 113
The highest common occurrence is 21 x 31
Therefore, GCD of 768, 420, 552, 678 is 6.
Given numbers are 768, 420, 552, 678
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(768, 420) = 26880
GCD(768, 420) = ( 768 x 420 ) / 26880
= 768 / 420
= 768
Step2:
LCM(12, 552) = 552
GCD(12, 552) = ( 12 x 552 ) / 552
= 12 / 552
= 12
Step3:
LCM(12, 678) = 1356
GCD(12, 678) = ( 12 x 678 ) / 1356
= 12 / 678
= 12
So, Greatest Common Divisor of 768, 420, 552, 678 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 768, 420, 552, 678
The greatest common divisor of numbers 768, 420, 552, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 420, 552, 678 is 6.
1. What is the GCD of 768, 420, 552, 678?
GCD of given numbers 768, 420, 552, 678 is 6
2. How to calculate the greatest common divisor of 768, 420, 552, 678?
We can find the highest common divisor of 768, 420, 552, 678 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 768, 420, 552, 678 i.e 6.
3. How can I use the GCD of 768, 420, 552, 678Calculator?
Out the numbers 768, 420, 552, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.