Online GCD Calculator is useful to find the GCD of 770, 854, 140 quickly. Get the easiest ways to solve the greatest common divisor of 770, 854, 140 i.e 14 in different methods as follows.
Given Input numbers are 770, 854, 140
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 854 :
The positive integer divisors of 854 that completely divides 854 are.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (770, 854, 140) = 14.
Given numbers are 770, 854, 140
The list of prime factors of all numbers are
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 854 are 2 x 7 x 61
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 21 x 71
Therefore, GCD of 770, 854, 140 is 14.
Given numbers are 770, 854, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(770, 854) = 46970
GCD(770, 854) = ( 770 x 854 ) / 46970
= 770 / 854
= 770
Step2:
LCM(14, 140) = 140
GCD(14, 140) = ( 14 x 140 ) / 140
= 14 / 140
= 14
So, Greatest Common Divisor of 770, 854, 140 is 14
Here are some samples of GCD of Numbers calculations.
Given numbers are 770, 854, 140
The greatest common divisor of numbers 770, 854, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 854, 140 is 14.
1. What is the GCD of 770, 854, 140?
GCD of given numbers 770, 854, 140 is 14
2. How to calculate the greatest common divisor of 770, 854, 140?
We can find the highest common divisor of 770, 854, 140 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, 854, 140 i.e 14.
3. How can I use the GCD of 770, 854, 140Calculator?
Out the numbers 770, 854, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.