Online GCD Calculator is useful to find the GCD of 120, 932, 546, 266 quickly. Get the easiest ways to solve the greatest common divisor of 120, 932, 546, 266 i.e 2 in different methods as follows.
Given Input numbers are 120, 932, 546, 266
In the factoring method, we have to find the divisors of all numbers
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 932 :
The positive integer divisors of 932 that completely divides 932 are.
1, 2, 4, 233, 466, 932
Divisors of 546 :
The positive integer divisors of 546 that completely divides 546 are.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 266 :
The positive integer divisors of 266 that completely divides 266 are.
1, 2, 7, 14, 19, 38, 133, 266
GCD of numbers is the greatest common divisor
So, the GCD (120, 932, 546, 266) = 2.
Given numbers are 120, 932, 546, 266
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 932 are 2 x 2 x 233
Prime factors of 546 are 2 x 3 x 7 x 13
Prime factors of 266 are 2 x 7 x 19
The highest common occurrence is 21
Therefore, GCD of 120, 932, 546, 266 is 2.
Given numbers are 120, 932, 546, 266
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 932) = 27960
GCD(120, 932) = ( 120 x 932 ) / 27960
= 120 / 932
= 120
Step2:
LCM(4, 546) = 1092
GCD(4, 546) = ( 4 x 546 ) / 1092
= 4 / 546
= 4
Step3:
LCM(2, 266) = 266
GCD(2, 266) = ( 2 x 266 ) / 266
= 2 / 266
= 2
So, Greatest Common Divisor of 120, 932, 546, 266 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 932, 546, 266
The greatest common divisor of numbers 120, 932, 546, 266 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 932, 546, 266 is 2.
1. What is the GCD of 120, 932, 546, 266?
GCD of given numbers 120, 932, 546, 266 is 2
2. How to calculate the greatest common divisor of 120, 932, 546, 266?
We can find the highest common divisor of 120, 932, 546, 266 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 120, 932, 546, 266 i.e 2.
3. How can I use the GCD of 120, 932, 546, 266Calculator?
Out the numbers 120, 932, 546, 266 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.