Online GCD Calculator is useful to find the GCD of 110, 770, 920 quickly. Get the easiest ways to solve the greatest common divisor of 110, 770, 920 i.e 10 in different methods as follows.
Given Input numbers are 110, 770, 920
In the factoring method, we have to find the divisors of all numbers
Divisors of 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
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 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
GCD of numbers is the greatest common divisor
So, the GCD (110, 770, 920) = 10.
Given numbers are 110, 770, 920
The list of prime factors of all numbers are
Prime factors of 110 are 2 x 5 x 11
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
The highest common occurrence is 21 x 51
Therefore, GCD of 110, 770, 920 is 10.
Given numbers are 110, 770, 920
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(110, 770) = 770
GCD(110, 770) = ( 110 x 770 ) / 770
= 110 / 770
= 110
Step2:
LCM(110, 920) = 10120
GCD(110, 920) = ( 110 x 920 ) / 10120
= 110 / 920
= 110
So, Greatest Common Divisor of 110, 770, 920 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 110, 770, 920
The greatest common divisor of numbers 110, 770, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 110, 770, 920 is 10.
1. What is the GCD of 110, 770, 920?
GCD of given numbers 110, 770, 920 is 10
2. How to calculate the greatest common divisor of 110, 770, 920?
We can find the highest common divisor of 110, 770, 920 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 110, 770, 920 i.e 10.
3. How can I use the GCD of 110, 770, 920Calculator?
Out the numbers 110, 770, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.