Online GCD Calculator is useful to find the GCD of 270, 660, 620, 740 quickly. Get the easiest ways to solve the greatest common divisor of 270, 660, 620, 740 i.e 10 in different methods as follows.
Given Input numbers are 270, 660, 620, 740
In the factoring method, we have to find the divisors of all numbers
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 620 :
The positive integer divisors of 620 that completely divides 620 are.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
GCD of numbers is the greatest common divisor
So, the GCD (270, 660, 620, 740) = 10.
Given numbers are 270, 660, 620, 740
The list of prime factors of all numbers are
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 620 are 2 x 2 x 5 x 31
Prime factors of 740 are 2 x 2 x 5 x 37
The highest common occurrence is 21 x 51
Therefore, GCD of 270, 660, 620, 740 is 10.
Given numbers are 270, 660, 620, 740
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 660) = 5940
GCD(270, 660) = ( 270 x 660 ) / 5940
= 270 / 660
= 270
Step2:
LCM(30, 620) = 1860
GCD(30, 620) = ( 30 x 620 ) / 1860
= 30 / 620
= 30
Step3:
LCM(10, 740) = 740
GCD(10, 740) = ( 10 x 740 ) / 740
= 10 / 740
= 10
So, Greatest Common Divisor of 270, 660, 620, 740 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 660, 620, 740
The greatest common divisor of numbers 270, 660, 620, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 660, 620, 740 is 10.
1. What is the GCD of 270, 660, 620, 740?
GCD of given numbers 270, 660, 620, 740 is 10
2. How to calculate the greatest common divisor of 270, 660, 620, 740?
We can find the highest common divisor of 270, 660, 620, 740 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 270, 660, 620, 740 i.e 10.
3. How can I use the GCD of 270, 660, 620, 740Calculator?
Out the numbers 270, 660, 620, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.