Online GCD Calculator is useful to find the GCD of 118, 660, 172, 202 quickly. Get the easiest ways to solve the greatest common divisor of 118, 660, 172, 202 i.e 2 in different methods as follows.
Given Input numbers are 118, 660, 172, 202
In the factoring method, we have to find the divisors of all numbers
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 202 :
The positive integer divisors of 202 that completely divides 202 are.
1, 2, 101, 202
GCD of numbers is the greatest common divisor
So, the GCD (118, 660, 172, 202) = 2.
Given numbers are 118, 660, 172, 202
The list of prime factors of all numbers are
Prime factors of 118 are 2 x 59
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 172 are 2 x 2 x 43
Prime factors of 202 are 2 x 101
The highest common occurrence is 21
Therefore, GCD of 118, 660, 172, 202 is 2.
Given numbers are 118, 660, 172, 202
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(118, 660) = 38940
GCD(118, 660) = ( 118 x 660 ) / 38940
= 118 / 660
= 118
Step2:
LCM(2, 172) = 172
GCD(2, 172) = ( 2 x 172 ) / 172
= 2 / 172
= 2
Step3:
LCM(2, 202) = 202
GCD(2, 202) = ( 2 x 202 ) / 202
= 2 / 202
= 2
So, Greatest Common Divisor of 118, 660, 172, 202 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 118, 660, 172, 202
The greatest common divisor of numbers 118, 660, 172, 202 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 660, 172, 202 is 2.
1. What is the GCD of 118, 660, 172, 202?
GCD of given numbers 118, 660, 172, 202 is 2
2. How to calculate the greatest common divisor of 118, 660, 172, 202?
We can find the highest common divisor of 118, 660, 172, 202 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 118, 660, 172, 202 i.e 2.
3. How can I use the GCD of 118, 660, 172, 202Calculator?
Out the numbers 118, 660, 172, 202 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.