Online GCD Calculator is useful to find the GCD of 770, 196, 348 quickly. Get the easiest ways to solve the greatest common divisor of 770, 196, 348 i.e 2 in different methods as follows.
Given Input numbers are 770, 196, 348
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 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
GCD of numbers is the greatest common divisor
So, the GCD (770, 196, 348) = 2.
Given numbers are 770, 196, 348
The list of prime factors of all numbers are
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 348 are 2 x 2 x 3 x 29
The highest common occurrence is 21
Therefore, GCD of 770, 196, 348 is 2.
Given numbers are 770, 196, 348
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(770, 196) = 10780
GCD(770, 196) = ( 770 x 196 ) / 10780
= 770 / 196
= 770
Step2:
LCM(14, 348) = 2436
GCD(14, 348) = ( 14 x 348 ) / 2436
= 14 / 348
= 14
So, Greatest Common Divisor of 770, 196, 348 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 770, 196, 348
The greatest common divisor of numbers 770, 196, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 196, 348 is 2.
1. What is the GCD of 770, 196, 348?
GCD of given numbers 770, 196, 348 is 2
2. How to calculate the greatest common divisor of 770, 196, 348?
We can find the highest common divisor of 770, 196, 348 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, 196, 348 i.e 2.
3. How can I use the GCD of 770, 196, 348Calculator?
Out the numbers 770, 196, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.