Online GCD Calculator is useful to find the GCD of 108, 118, 700, 143 quickly. Get the easiest ways to solve the greatest common divisor of 108, 118, 700, 143 i.e 1 in different methods as follows.
Given Input numbers are 108, 118, 700, 143
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 143 :
The positive integer divisors of 143 that completely divides 143 are.
1, 11, 13, 143
GCD of numbers is the greatest common divisor
So, the GCD (108, 118, 700, 143) = 1.
Given numbers are 108, 118, 700, 143
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 118 are 2 x 59
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 143 are 11 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 108, 118, 700, 143
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 118) = 6372
GCD(108, 118) = ( 108 x 118 ) / 6372
= 108 / 118
= 108
Step2:
LCM(2, 700) = 700
GCD(2, 700) = ( 2 x 700 ) / 700
= 2 / 700
= 2
Step3:
LCM(2, 143) = 286
GCD(2, 143) = ( 2 x 143 ) / 286
= 2 / 143
= 2
So, Greatest Common Divisor of 108, 118, 700, 143 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 118, 700, 143
The greatest common divisor of numbers 108, 118, 700, 143 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 118, 700, 143 is 1.
1. What is the GCD of 108, 118, 700, 143?
GCD of given numbers 108, 118, 700, 143 is 1
2. How to calculate the greatest common divisor of 108, 118, 700, 143?
We can find the highest common divisor of 108, 118, 700, 143 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 108, 118, 700, 143 i.e 1.
3. How can I use the GCD of 108, 118, 700, 143Calculator?
Out the numbers 108, 118, 700, 143 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.