Online GCD Calculator is useful to find the GCD of 770, 290, 340 quickly. Get the easiest ways to solve the greatest common divisor of 770, 290, 340 i.e 10 in different methods as follows.
Given Input numbers are 770, 290, 340
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 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
GCD of numbers is the greatest common divisor
So, the GCD (770, 290, 340) = 10.
Given numbers are 770, 290, 340
The list of prime factors of all numbers are
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 290 are 2 x 5 x 29
Prime factors of 340 are 2 x 2 x 5 x 17
The highest common occurrence is 21 x 51
Therefore, GCD of 770, 290, 340 is 10.
Given numbers are 770, 290, 340
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(770, 290) = 22330
GCD(770, 290) = ( 770 x 290 ) / 22330
= 770 / 290
= 770
Step2:
LCM(10, 340) = 340
GCD(10, 340) = ( 10 x 340 ) / 340
= 10 / 340
= 10
So, Greatest Common Divisor of 770, 290, 340 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 770, 290, 340
The greatest common divisor of numbers 770, 290, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 290, 340 is 10.
1. What is the GCD of 770, 290, 340?
GCD of given numbers 770, 290, 340 is 10
2. How to calculate the greatest common divisor of 770, 290, 340?
We can find the highest common divisor of 770, 290, 340 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, 290, 340 i.e 10.
3. How can I use the GCD of 770, 290, 340Calculator?
Out the numbers 770, 290, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.