Online GCD Calculator is useful to find the GCD of 650, 490, 280, 850 quickly. Get the easiest ways to solve the greatest common divisor of 650, 490, 280, 850 i.e 10 in different methods as follows.
Given Input numbers are 650, 490, 280, 850
In the factoring method, we have to find the divisors of all numbers
Divisors of 650 :
The positive integer divisors of 650 that completely divides 650 are.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
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 850 :
The positive integer divisors of 850 that completely divides 850 are.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
GCD of numbers is the greatest common divisor
So, the GCD (650, 490, 280, 850) = 10.
Given numbers are 650, 490, 280, 850
The list of prime factors of all numbers are
Prime factors of 650 are 2 x 5 x 5 x 13
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 850 are 2 x 5 x 5 x 17
The highest common occurrence is 21 x 51
Therefore, GCD of 650, 490, 280, 850 is 10.
Given numbers are 650, 490, 280, 850
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(650, 490) = 31850
GCD(650, 490) = ( 650 x 490 ) / 31850
= 650 / 490
= 650
Step2:
LCM(10, 280) = 280
GCD(10, 280) = ( 10 x 280 ) / 280
= 10 / 280
= 10
Step3:
LCM(10, 850) = 850
GCD(10, 850) = ( 10 x 850 ) / 850
= 10 / 850
= 10
So, Greatest Common Divisor of 650, 490, 280, 850 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 650, 490, 280, 850
The greatest common divisor of numbers 650, 490, 280, 850 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 650, 490, 280, 850 is 10.
1. What is the GCD of 650, 490, 280, 850?
GCD of given numbers 650, 490, 280, 850 is 10
2. How to calculate the greatest common divisor of 650, 490, 280, 850?
We can find the highest common divisor of 650, 490, 280, 850 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 650, 490, 280, 850 i.e 10.
3. How can I use the GCD of 650, 490, 280, 850Calculator?
Out the numbers 650, 490, 280, 850 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.