Online GCD Calculator is useful to find the GCD of 890, 210, 770, 640 quickly. Get the easiest ways to solve the greatest common divisor of 890, 210, 770, 640 i.e 10 in different methods as follows.
Given Input numbers are 890, 210, 770, 640
In the factoring method, we have to find the divisors of all numbers
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 640 :
The positive integer divisors of 640 that completely divides 640 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
GCD of numbers is the greatest common divisor
So, the GCD (890, 210, 770, 640) = 10.
Given numbers are 890, 210, 770, 640
The list of prime factors of all numbers are
Prime factors of 890 are 2 x 5 x 89
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21 x 51
Therefore, GCD of 890, 210, 770, 640 is 10.
Given numbers are 890, 210, 770, 640
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(890, 210) = 18690
GCD(890, 210) = ( 890 x 210 ) / 18690
= 890 / 210
= 890
Step2:
LCM(10, 770) = 770
GCD(10, 770) = ( 10 x 770 ) / 770
= 10 / 770
= 10
Step3:
LCM(10, 640) = 640
GCD(10, 640) = ( 10 x 640 ) / 640
= 10 / 640
= 10
So, Greatest Common Divisor of 890, 210, 770, 640 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 890, 210, 770, 640
The greatest common divisor of numbers 890, 210, 770, 640 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 890, 210, 770, 640 is 10.
1. What is the GCD of 890, 210, 770, 640?
GCD of given numbers 890, 210, 770, 640 is 10
2. How to calculate the greatest common divisor of 890, 210, 770, 640?
We can find the highest common divisor of 890, 210, 770, 640 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 890, 210, 770, 640 i.e 10.
3. How can I use the GCD of 890, 210, 770, 640Calculator?
Out the numbers 890, 210, 770, 640 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.