Online GCD Calculator is useful to find the GCD of 770, 294, 157, 108 quickly. Get the easiest ways to solve the greatest common divisor of 770, 294, 157, 108 i.e 1 in different methods as follows.
Given Input numbers are 770, 294, 157, 108
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 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 157 :
The positive integer divisors of 157 that completely divides 157 are.
1, 157
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD of numbers is the greatest common divisor
So, the GCD (770, 294, 157, 108) = 1.
Given numbers are 770, 294, 157, 108
The list of prime factors of all numbers are
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 294 are 2 x 3 x 7 x 7
Prime factors of 157 are 157
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 770, 294, 157, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(770, 294) = 16170
GCD(770, 294) = ( 770 x 294 ) / 16170
= 770 / 294
= 770
Step2:
LCM(14, 157) = 2198
GCD(14, 157) = ( 14 x 157 ) / 2198
= 14 / 157
= 14
Step3:
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
= 1 / 108
= 1
So, Greatest Common Divisor of 770, 294, 157, 108 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 770, 294, 157, 108
The greatest common divisor of numbers 770, 294, 157, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 294, 157, 108 is 1.
1. What is the GCD of 770, 294, 157, 108?
GCD of given numbers 770, 294, 157, 108 is 1
2. How to calculate the greatest common divisor of 770, 294, 157, 108?
We can find the highest common divisor of 770, 294, 157, 108 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, 294, 157, 108 i.e 1.
3. How can I use the GCD of 770, 294, 157, 108Calculator?
Out the numbers 770, 294, 157, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.