Online GCD Calculator is useful to find the GCD of 770, 946, 473, 110 quickly. Get the easiest ways to solve the greatest common divisor of 770, 946, 473, 110 i.e 11 in different methods as follows.
Given Input numbers are 770, 946, 473, 110
In the factoring method, we have to find the divisors of all numbers
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 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 473 :
The positive integer divisors of 473 that completely divides 473 are.
1, 11, 43, 473
Divisors of 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
GCD of numbers is the greatest common divisor
So, the GCD (770, 946, 473, 110) = 11.
Given numbers are 770, 946, 473, 110
The list of prime factors of all numbers are
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 946 are 2 x 11 x 43
Prime factors of 473 are 11 x 43
Prime factors of 110 are 2 x 5 x 11
The highest common occurrence is 111
Therefore, GCD of 770, 946, 473, 110 is 11.
Given numbers are 770, 946, 473, 110
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(770, 946) = 33110
GCD(770, 946) = ( 770 x 946 ) / 33110
= 770 / 946
= 770
Step2:
LCM(22, 473) = 946
GCD(22, 473) = ( 22 x 473 ) / 946
= 22 / 473
= 22
Step3:
LCM(11, 110) = 110
GCD(11, 110) = ( 11 x 110 ) / 110
= 11 / 110
= 11
So, Greatest Common Divisor of 770, 946, 473, 110 is 11
Here are some samples of GCD of Numbers calculations.
Given numbers are 770, 946, 473, 110
The greatest common divisor of numbers 770, 946, 473, 110 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 946, 473, 110 is 11.
1. What is the GCD of 770, 946, 473, 110?
GCD of given numbers 770, 946, 473, 110 is 11
2. How to calculate the greatest common divisor of 770, 946, 473, 110?
We can find the highest common divisor of 770, 946, 473, 110 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 770, 946, 473, 110 i.e 11.
3. How can I use the GCD of 770, 946, 473, 110Calculator?
Out the numbers 770, 946, 473, 110 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.