Online GCD Calculator is useful to find the GCD of 374, 470, 220, 132 quickly. Get the easiest ways to solve the greatest common divisor of 374, 470, 220, 132 i.e 2 in different methods as follows.
Given Input numbers are 374, 470, 220, 132
In the factoring method, we have to find the divisors of all numbers
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
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 (374, 470, 220, 132) = 2.
Given numbers are 374, 470, 220, 132
The list of prime factors of all numbers are
Prime factors of 374 are 2 x 11 x 17
Prime factors of 470 are 2 x 5 x 47
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 132 are 2 x 2 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 374, 470, 220, 132 is 2.
Given numbers are 374, 470, 220, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(374, 470) = 87890
GCD(374, 470) = ( 374 x 470 ) / 87890
= 374 / 470
= 374
Step2:
LCM(2, 220) = 220
GCD(2, 220) = ( 2 x 220 ) / 220
= 2 / 220
= 2
Step3:
LCM(2, 132) = 132
GCD(2, 132) = ( 2 x 132 ) / 132
= 2 / 132
= 2
So, Greatest Common Divisor of 374, 470, 220, 132 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 374, 470, 220, 132
The greatest common divisor of numbers 374, 470, 220, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 470, 220, 132 is 2.
1. What is the GCD of 374, 470, 220, 132?
GCD of given numbers 374, 470, 220, 132 is 2
2. How to calculate the greatest common divisor of 374, 470, 220, 132?
We can find the highest common divisor of 374, 470, 220, 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 374, 470, 220, 132 i.e 2.
3. How can I use the GCD of 374, 470, 220, 132Calculator?
Out the numbers 374, 470, 220, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.