Online GCD Calculator is useful to find the GCD of 672, 748, 759, 567 quickly. Get the easiest ways to solve the greatest common divisor of 672, 748, 759, 567 i.e 1 in different methods as follows.
Given Input numbers are 672, 748, 759, 567
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 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
GCD of numbers is the greatest common divisor
So, the GCD (672, 748, 759, 567) = 1.
Given numbers are 672, 748, 759, 567
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 748 are 2 x 2 x 11 x 17
Prime factors of 759 are 3 x 11 x 23
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 672, 748, 759, 567
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(672, 748) = 125664
GCD(672, 748) = ( 672 x 748 ) / 125664
= 672 / 748
= 672
Step2:
LCM(4, 759) = 3036
GCD(4, 759) = ( 4 x 759 ) / 3036
= 4 / 759
= 4
Step3:
LCM(1, 567) = 567
GCD(1, 567) = ( 1 x 567 ) / 567
= 1 / 567
= 1
So, Greatest Common Divisor of 672, 748, 759, 567 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 672, 748, 759, 567
The greatest common divisor of numbers 672, 748, 759, 567 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 748, 759, 567 is 1.
1. What is the GCD of 672, 748, 759, 567?
GCD of given numbers 672, 748, 759, 567 is 1
2. How to calculate the greatest common divisor of 672, 748, 759, 567?
We can find the highest common divisor of 672, 748, 759, 567 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, 748, 759, 567 i.e 1.
3. How can I use the GCD of 672, 748, 759, 567Calculator?
Out the numbers 672, 748, 759, 567 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.