Online GCD Calculator is useful to find the GCD of 946, 502, 726, 132 quickly. Get the easiest ways to solve the greatest common divisor of 946, 502, 726, 132 i.e 2 in different methods as follows.
Given Input numbers are 946, 502, 726, 132
In the factoring method, we have to find the divisors of all numbers
Divisors of 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 502 :
The positive integer divisors of 502 that completely divides 502 are.
1, 2, 251, 502
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
GCD of numbers is the greatest common divisor
So, the GCD (946, 502, 726, 132) = 2.
Given numbers are 946, 502, 726, 132
The list of prime factors of all numbers are
Prime factors of 946 are 2 x 11 x 43
Prime factors of 502 are 2 x 251
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 132 are 2 x 2 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 946, 502, 726, 132 is 2.
Given numbers are 946, 502, 726, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(946, 502) = 237446
GCD(946, 502) = ( 946 x 502 ) / 237446
= 946 / 502
= 946
Step2:
LCM(2, 726) = 726
GCD(2, 726) = ( 2 x 726 ) / 726
= 2 / 726
= 2
Step3:
LCM(2, 132) = 132
GCD(2, 132) = ( 2 x 132 ) / 132
= 2 / 132
= 2
So, Greatest Common Divisor of 946, 502, 726, 132 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 946, 502, 726, 132
The greatest common divisor of numbers 946, 502, 726, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 946, 502, 726, 132 is 2.
1. What is the GCD of 946, 502, 726, 132?
GCD of given numbers 946, 502, 726, 132 is 2
2. How to calculate the greatest common divisor of 946, 502, 726, 132?
We can find the highest common divisor of 946, 502, 726, 132 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 946, 502, 726, 132 i.e 2.
3. How can I use the GCD of 946, 502, 726, 132Calculator?
Out the numbers 946, 502, 726, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.