Online GCD Calculator is useful to find the GCD of 550, 280, 690, 102 quickly. Get the easiest ways to solve the greatest common divisor of 550, 280, 690, 102 i.e 2 in different methods as follows.
Given Input numbers are 550, 280, 690, 102
In the factoring method, we have to find the divisors of all numbers
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 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
GCD of numbers is the greatest common divisor
So, the GCD (550, 280, 690, 102) = 2.
Given numbers are 550, 280, 690, 102
The list of prime factors of all numbers are
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 102 are 2 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 550, 280, 690, 102 is 2.
Given numbers are 550, 280, 690, 102
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(550, 280) = 15400
GCD(550, 280) = ( 550 x 280 ) / 15400
= 550 / 280
= 550
Step2:
LCM(10, 690) = 690
GCD(10, 690) = ( 10 x 690 ) / 690
= 10 / 690
= 10
Step3:
LCM(10, 102) = 510
GCD(10, 102) = ( 10 x 102 ) / 510
= 10 / 102
= 10
So, Greatest Common Divisor of 550, 280, 690, 102 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 550, 280, 690, 102
The greatest common divisor of numbers 550, 280, 690, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 280, 690, 102 is 2.
1. What is the GCD of 550, 280, 690, 102?
GCD of given numbers 550, 280, 690, 102 is 2
2. How to calculate the greatest common divisor of 550, 280, 690, 102?
We can find the highest common divisor of 550, 280, 690, 102 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 550, 280, 690, 102 i.e 2.
3. How can I use the GCD of 550, 280, 690, 102Calculator?
Out the numbers 550, 280, 690, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.