Online GCD Calculator is useful to find the GCD of 348, 708, 220, 812 quickly. Get the easiest ways to solve the greatest common divisor of 348, 708, 220, 812 i.e 4 in different methods as follows.
Given Input numbers are 348, 708, 220, 812
In the factoring method, we have to find the divisors of all numbers
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
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 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
GCD of numbers is the greatest common divisor
So, the GCD (348, 708, 220, 812) = 4.
Given numbers are 348, 708, 220, 812
The list of prime factors of all numbers are
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 812 are 2 x 2 x 7 x 29
The highest common occurrence is 22
Therefore, GCD of 348, 708, 220, 812 is 4.
Given numbers are 348, 708, 220, 812
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(348, 708) = 20532
GCD(348, 708) = ( 348 x 708 ) / 20532
= 348 / 708
= 348
Step2:
LCM(12, 220) = 660
GCD(12, 220) = ( 12 x 220 ) / 660
= 12 / 220
= 12
Step3:
LCM(4, 812) = 812
GCD(4, 812) = ( 4 x 812 ) / 812
= 4 / 812
= 4
So, Greatest Common Divisor of 348, 708, 220, 812 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 348, 708, 220, 812
The greatest common divisor of numbers 348, 708, 220, 812 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 708, 220, 812 is 4.
1. What is the GCD of 348, 708, 220, 812?
GCD of given numbers 348, 708, 220, 812 is 4
2. How to calculate the greatest common divisor of 348, 708, 220, 812?
We can find the highest common divisor of 348, 708, 220, 812 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 348, 708, 220, 812 i.e 4.
3. How can I use the GCD of 348, 708, 220, 812Calculator?
Out the numbers 348, 708, 220, 812 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.