Online GCD Calculator is useful to find the GCD of 648, 476, 616, 762 quickly. Get the easiest ways to solve the greatest common divisor of 648, 476, 616, 762 i.e 2 in different methods as follows.
Given Input numbers are 648, 476, 616, 762
In the factoring method, we have to find the divisors of all numbers
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
GCD of numbers is the greatest common divisor
So, the GCD (648, 476, 616, 762) = 2.
Given numbers are 648, 476, 616, 762
The list of prime factors of all numbers are
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 762 are 2 x 3 x 127
The highest common occurrence is 21
Therefore, GCD of 648, 476, 616, 762 is 2.
Given numbers are 648, 476, 616, 762
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(648, 476) = 77112
GCD(648, 476) = ( 648 x 476 ) / 77112
= 648 / 476
= 648
Step2:
LCM(4, 616) = 616
GCD(4, 616) = ( 4 x 616 ) / 616
= 4 / 616
= 4
Step3:
LCM(4, 762) = 1524
GCD(4, 762) = ( 4 x 762 ) / 1524
= 4 / 762
= 4
So, Greatest Common Divisor of 648, 476, 616, 762 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 648, 476, 616, 762
The greatest common divisor of numbers 648, 476, 616, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 476, 616, 762 is 2.
1. What is the GCD of 648, 476, 616, 762?
GCD of given numbers 648, 476, 616, 762 is 2
2. How to calculate the greatest common divisor of 648, 476, 616, 762?
We can find the highest common divisor of 648, 476, 616, 762 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 648, 476, 616, 762 i.e 2.
3. How can I use the GCD of 648, 476, 616, 762Calculator?
Out the numbers 648, 476, 616, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.