Online GCD Calculator is useful to find the GCD of 498, 375, 692, 118 quickly. Get the easiest ways to solve the greatest common divisor of 498, 375, 692, 118 i.e 1 in different methods as follows.
Given Input numbers are 498, 375, 692, 118
In the factoring method, we have to find the divisors of all numbers
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
GCD of numbers is the greatest common divisor
So, the GCD (498, 375, 692, 118) = 1.
Given numbers are 498, 375, 692, 118
The list of prime factors of all numbers are
Prime factors of 498 are 2 x 3 x 83
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 692 are 2 x 2 x 173
Prime factors of 118 are 2 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 498, 375, 692, 118
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(498, 375) = 62250
GCD(498, 375) = ( 498 x 375 ) / 62250
= 498 / 375
= 498
Step2:
LCM(3, 692) = 2076
GCD(3, 692) = ( 3 x 692 ) / 2076
= 3 / 692
= 3
Step3:
LCM(1, 118) = 118
GCD(1, 118) = ( 1 x 118 ) / 118
= 1 / 118
= 1
So, Greatest Common Divisor of 498, 375, 692, 118 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 498, 375, 692, 118
The greatest common divisor of numbers 498, 375, 692, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 375, 692, 118 is 1.
1. What is the GCD of 498, 375, 692, 118?
GCD of given numbers 498, 375, 692, 118 is 1
2. How to calculate the greatest common divisor of 498, 375, 692, 118?
We can find the highest common divisor of 498, 375, 692, 118 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 498, 375, 692, 118 i.e 1.
3. How can I use the GCD of 498, 375, 692, 118Calculator?
Out the numbers 498, 375, 692, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.