Online GCD Calculator is useful to find the GCD of 490, 375, 349, 402 quickly. Get the easiest ways to solve the greatest common divisor of 490, 375, 349, 402 i.e 1 in different methods as follows.
Given Input numbers are 490, 375, 349, 402
In the factoring method, we have to find the divisors of all numbers
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
GCD of numbers is the greatest common divisor
So, the GCD (490, 375, 349, 402) = 1.
Given numbers are 490, 375, 349, 402
The list of prime factors of all numbers are
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 349 are 349
Prime factors of 402 are 2 x 3 x 67
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 490, 375, 349, 402
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(490, 375) = 36750
GCD(490, 375) = ( 490 x 375 ) / 36750
= 490 / 375
= 490
Step2:
LCM(5, 349) = 1745
GCD(5, 349) = ( 5 x 349 ) / 1745
= 5 / 349
= 5
Step3:
LCM(1, 402) = 402
GCD(1, 402) = ( 1 x 402 ) / 402
= 1 / 402
= 1
So, Greatest Common Divisor of 490, 375, 349, 402 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 490, 375, 349, 402
The greatest common divisor of numbers 490, 375, 349, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 375, 349, 402 is 1.
1. What is the GCD of 490, 375, 349, 402?
GCD of given numbers 490, 375, 349, 402 is 1
2. How to calculate the greatest common divisor of 490, 375, 349, 402?
We can find the highest common divisor of 490, 375, 349, 402 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 490, 375, 349, 402 i.e 1.
3. How can I use the GCD of 490, 375, 349, 402Calculator?
Out the numbers 490, 375, 349, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.