Online GCD Calculator is useful to find the GCD of 672, 868, 348, 756 quickly. Get the easiest ways to solve the greatest common divisor of 672, 868, 348, 756 i.e 4 in different methods as follows.
Given Input numbers are 672, 868, 348, 756
In the factoring method, we have to find the divisors of all numbers
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 868 :
The positive integer divisors of 868 that completely divides 868 are.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
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 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
GCD of numbers is the greatest common divisor
So, the GCD (672, 868, 348, 756) = 4.
Given numbers are 672, 868, 348, 756
The list of prime factors of all numbers are
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 868 are 2 x 2 x 7 x 31
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
The highest common occurrence is 22
Therefore, GCD of 672, 868, 348, 756 is 4.
Given numbers are 672, 868, 348, 756
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(672, 868) = 20832
GCD(672, 868) = ( 672 x 868 ) / 20832
= 672 / 868
= 672
Step2:
LCM(28, 348) = 2436
GCD(28, 348) = ( 28 x 348 ) / 2436
= 28 / 348
= 28
Step3:
LCM(4, 756) = 756
GCD(4, 756) = ( 4 x 756 ) / 756
= 4 / 756
= 4
So, Greatest Common Divisor of 672, 868, 348, 756 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 672, 868, 348, 756
The greatest common divisor of numbers 672, 868, 348, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 868, 348, 756 is 4.
1. What is the GCD of 672, 868, 348, 756?
GCD of given numbers 672, 868, 348, 756 is 4
2. How to calculate the greatest common divisor of 672, 868, 348, 756?
We can find the highest common divisor of 672, 868, 348, 756 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 672, 868, 348, 756 i.e 4.
3. How can I use the GCD of 672, 868, 348, 756Calculator?
Out the numbers 672, 868, 348, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.