Online GCD Calculator is useful to find the GCD of 672, 898, 826, 676 quickly. Get the easiest ways to solve the greatest common divisor of 672, 898, 826, 676 i.e 2 in different methods as follows.
Given Input numbers are 672, 898, 826, 676
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 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 826 :
The positive integer divisors of 826 that completely divides 826 are.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
GCD of numbers is the greatest common divisor
So, the GCD (672, 898, 826, 676) = 2.
Given numbers are 672, 898, 826, 676
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 898 are 2 x 449
Prime factors of 826 are 2 x 7 x 59
Prime factors of 676 are 2 x 2 x 13 x 13
The highest common occurrence is 21
Therefore, GCD of 672, 898, 826, 676 is 2.
Given numbers are 672, 898, 826, 676
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(672, 898) = 301728
GCD(672, 898) = ( 672 x 898 ) / 301728
= 672 / 898
= 672
Step2:
LCM(2, 826) = 826
GCD(2, 826) = ( 2 x 826 ) / 826
= 2 / 826
= 2
Step3:
LCM(2, 676) = 676
GCD(2, 676) = ( 2 x 676 ) / 676
= 2 / 676
= 2
So, Greatest Common Divisor of 672, 898, 826, 676 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 672, 898, 826, 676
The greatest common divisor of numbers 672, 898, 826, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 898, 826, 676 is 2.
1. What is the GCD of 672, 898, 826, 676?
GCD of given numbers 672, 898, 826, 676 is 2
2. How to calculate the greatest common divisor of 672, 898, 826, 676?
We can find the highest common divisor of 672, 898, 826, 676 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, 898, 826, 676 i.e 2.
3. How can I use the GCD of 672, 898, 826, 676Calculator?
Out the numbers 672, 898, 826, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.