Online GCD Calculator is useful to find the GCD of 992, 672, 340, 826 quickly. Get the easiest ways to solve the greatest common divisor of 992, 672, 340, 826 i.e 2 in different methods as follows.
Given Input numbers are 992, 672, 340, 826
In the factoring method, we have to find the divisors of all numbers
Divisors of 992 :
The positive integer divisors of 992 that completely divides 992 are.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
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 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 826 :
The positive integer divisors of 826 that completely divides 826 are.
1, 2, 7, 14, 59, 118, 413, 826
GCD of numbers is the greatest common divisor
So, the GCD (992, 672, 340, 826) = 2.
Given numbers are 992, 672, 340, 826
The list of prime factors of all numbers are
Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 826 are 2 x 7 x 59
The highest common occurrence is 21
Therefore, GCD of 992, 672, 340, 826 is 2.
Given numbers are 992, 672, 340, 826
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(992, 672) = 20832
GCD(992, 672) = ( 992 x 672 ) / 20832
= 992 / 672
= 992
Step2:
LCM(32, 340) = 2720
GCD(32, 340) = ( 32 x 340 ) / 2720
= 32 / 340
= 32
Step3:
LCM(4, 826) = 1652
GCD(4, 826) = ( 4 x 826 ) / 1652
= 4 / 826
= 4
So, Greatest Common Divisor of 992, 672, 340, 826 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 992, 672, 340, 826
The greatest common divisor of numbers 992, 672, 340, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 672, 340, 826 is 2.
1. What is the GCD of 992, 672, 340, 826?
GCD of given numbers 992, 672, 340, 826 is 2
2. How to calculate the greatest common divisor of 992, 672, 340, 826?
We can find the highest common divisor of 992, 672, 340, 826 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 992, 672, 340, 826 i.e 2.
3. How can I use the GCD of 992, 672, 340, 826Calculator?
Out the numbers 992, 672, 340, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.