Online GCD Calculator is useful to find the GCD of 290, 510, 550, 748 quickly. Get the easiest ways to solve the greatest common divisor of 290, 510, 550, 748 i.e 2 in different methods as follows.
Given Input numbers are 290, 510, 550, 748
In the factoring method, we have to find the divisors of all numbers
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 510 :
The positive integer divisors of 510 that completely divides 510 are.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
GCD of numbers is the greatest common divisor
So, the GCD (290, 510, 550, 748) = 2.
Given numbers are 290, 510, 550, 748
The list of prime factors of all numbers are
Prime factors of 290 are 2 x 5 x 29
Prime factors of 510 are 2 x 3 x 5 x 17
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 748 are 2 x 2 x 11 x 17
The highest common occurrence is 21
Therefore, GCD of 290, 510, 550, 748 is 2.
Given numbers are 290, 510, 550, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(290, 510) = 14790
GCD(290, 510) = ( 290 x 510 ) / 14790
= 290 / 510
= 290
Step2:
LCM(10, 550) = 550
GCD(10, 550) = ( 10 x 550 ) / 550
= 10 / 550
= 10
Step3:
LCM(10, 748) = 3740
GCD(10, 748) = ( 10 x 748 ) / 3740
= 10 / 748
= 10
So, Greatest Common Divisor of 290, 510, 550, 748 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 290, 510, 550, 748
The greatest common divisor of numbers 290, 510, 550, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 290, 510, 550, 748 is 2.
1. What is the GCD of 290, 510, 550, 748?
GCD of given numbers 290, 510, 550, 748 is 2
2. How to calculate the greatest common divisor of 290, 510, 550, 748?
We can find the highest common divisor of 290, 510, 550, 748 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 290, 510, 550, 748 i.e 2.
3. How can I use the GCD of 290, 510, 550, 748Calculator?
Out the numbers 290, 510, 550, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.