Online GCD Calculator is useful to find the GCD of 274, 150, 220, 662 quickly. Get the easiest ways to solve the greatest common divisor of 274, 150, 220, 662 i.e 2 in different methods as follows.
Given Input numbers are 274, 150, 220, 662
In the factoring method, we have to find the divisors of all numbers
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
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 662 :
The positive integer divisors of 662 that completely divides 662 are.
1, 2, 331, 662
GCD of numbers is the greatest common divisor
So, the GCD (274, 150, 220, 662) = 2.
Given numbers are 274, 150, 220, 662
The list of prime factors of all numbers are
Prime factors of 274 are 2 x 137
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 662 are 2 x 331
The highest common occurrence is 21
Therefore, GCD of 274, 150, 220, 662 is 2.
Given numbers are 274, 150, 220, 662
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(274, 150) = 20550
GCD(274, 150) = ( 274 x 150 ) / 20550
= 274 / 150
= 274
Step2:
LCM(2, 220) = 220
GCD(2, 220) = ( 2 x 220 ) / 220
= 2 / 220
= 2
Step3:
LCM(2, 662) = 662
GCD(2, 662) = ( 2 x 662 ) / 662
= 2 / 662
= 2
So, Greatest Common Divisor of 274, 150, 220, 662 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 274, 150, 220, 662
The greatest common divisor of numbers 274, 150, 220, 662 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 150, 220, 662 is 2.
1. What is the GCD of 274, 150, 220, 662?
GCD of given numbers 274, 150, 220, 662 is 2
2. How to calculate the greatest common divisor of 274, 150, 220, 662?
We can find the highest common divisor of 274, 150, 220, 662 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 274, 150, 220, 662 i.e 2.
3. How can I use the GCD of 274, 150, 220, 662Calculator?
Out the numbers 274, 150, 220, 662 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.