Online GCD Calculator is useful to find the GCD of 672, 350, 954, 116 quickly. Get the easiest ways to solve the greatest common divisor of 672, 350, 954, 116 i.e 2 in different methods as follows.
Given Input numbers are 672, 350, 954, 116
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 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 954 :
The positive integer divisors of 954 that completely divides 954 are.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
GCD of numbers is the greatest common divisor
So, the GCD (672, 350, 954, 116) = 2.
Given numbers are 672, 350, 954, 116
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 350 are 2 x 5 x 5 x 7
Prime factors of 954 are 2 x 3 x 3 x 53
Prime factors of 116 are 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 672, 350, 954, 116 is 2.
Given numbers are 672, 350, 954, 116
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(672, 350) = 16800
GCD(672, 350) = ( 672 x 350 ) / 16800
= 672 / 350
= 672
Step2:
LCM(14, 954) = 6678
GCD(14, 954) = ( 14 x 954 ) / 6678
= 14 / 954
= 14
Step3:
LCM(2, 116) = 116
GCD(2, 116) = ( 2 x 116 ) / 116
= 2 / 116
= 2
So, Greatest Common Divisor of 672, 350, 954, 116 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 672, 350, 954, 116
The greatest common divisor of numbers 672, 350, 954, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 350, 954, 116 is 2.
1. What is the GCD of 672, 350, 954, 116?
GCD of given numbers 672, 350, 954, 116 is 2
2. How to calculate the greatest common divisor of 672, 350, 954, 116?
We can find the highest common divisor of 672, 350, 954, 116 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, 350, 954, 116 i.e 2.
3. How can I use the GCD of 672, 350, 954, 116Calculator?
Out the numbers 672, 350, 954, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.