Online GCD Calculator is useful to find the GCD of 708, 860, 848, 456 quickly. Get the easiest ways to solve the greatest common divisor of 708, 860, 848, 456 i.e 4 in different methods as follows.
Given Input numbers are 708, 860, 848, 456
In the factoring method, we have to find the divisors of all numbers
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 860 :
The positive integer divisors of 860 that completely divides 860 are.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 848 :
The positive integer divisors of 848 that completely divides 848 are.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
GCD of numbers is the greatest common divisor
So, the GCD (708, 860, 848, 456) = 4.
Given numbers are 708, 860, 848, 456
The list of prime factors of all numbers are
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 860 are 2 x 2 x 5 x 43
Prime factors of 848 are 2 x 2 x 2 x 2 x 53
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
The highest common occurrence is 22
Therefore, GCD of 708, 860, 848, 456 is 4.
Given numbers are 708, 860, 848, 456
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(708, 860) = 152220
GCD(708, 860) = ( 708 x 860 ) / 152220
= 708 / 860
= 708
Step2:
LCM(4, 848) = 848
GCD(4, 848) = ( 4 x 848 ) / 848
= 4 / 848
= 4
Step3:
LCM(4, 456) = 456
GCD(4, 456) = ( 4 x 456 ) / 456
= 4 / 456
= 4
So, Greatest Common Divisor of 708, 860, 848, 456 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 708, 860, 848, 456
The greatest common divisor of numbers 708, 860, 848, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 860, 848, 456 is 4.
1. What is the GCD of 708, 860, 848, 456?
GCD of given numbers 708, 860, 848, 456 is 4
2. How to calculate the greatest common divisor of 708, 860, 848, 456?
We can find the highest common divisor of 708, 860, 848, 456 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 708, 860, 848, 456 i.e 4.
3. How can I use the GCD of 708, 860, 848, 456Calculator?
Out the numbers 708, 860, 848, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.