Online GCD Calculator is useful to find the GCD of 107, 118, 278, 891 quickly. Get the easiest ways to solve the greatest common divisor of 107, 118, 278, 891 i.e 1 in different methods as follows.
Given Input numbers are 107, 118, 278, 891
In the factoring method, we have to find the divisors of all numbers
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 278 :
The positive integer divisors of 278 that completely divides 278 are.
1, 2, 139, 278
Divisors of 891 :
The positive integer divisors of 891 that completely divides 891 are.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
GCD of numbers is the greatest common divisor
So, the GCD (107, 118, 278, 891) = 1.
Given numbers are 107, 118, 278, 891
The list of prime factors of all numbers are
Prime factors of 107 are 107
Prime factors of 118 are 2 x 59
Prime factors of 278 are 2 x 139
Prime factors of 891 are 3 x 3 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 107, 118, 278, 891
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(107, 118) = 12626
GCD(107, 118) = ( 107 x 118 ) / 12626
= 107 / 118
= 107
Step2:
LCM(1, 278) = 278
GCD(1, 278) = ( 1 x 278 ) / 278
= 1 / 278
= 1
Step3:
LCM(1, 891) = 891
GCD(1, 891) = ( 1 x 891 ) / 891
= 1 / 891
= 1
So, Greatest Common Divisor of 107, 118, 278, 891 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 107, 118, 278, 891
The greatest common divisor of numbers 107, 118, 278, 891 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 107, 118, 278, 891 is 1.
1. What is the GCD of 107, 118, 278, 891?
GCD of given numbers 107, 118, 278, 891 is 1
2. How to calculate the greatest common divisor of 107, 118, 278, 891?
We can find the highest common divisor of 107, 118, 278, 891 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 107, 118, 278, 891 i.e 1.
3. How can I use the GCD of 107, 118, 278, 891Calculator?
Out the numbers 107, 118, 278, 891 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.