Online GCD Calculator is useful to find the GCD of 490, 670, 316, 687 quickly. Get the easiest ways to solve the greatest common divisor of 490, 670, 316, 687 i.e 1 in different methods as follows.
Given Input numbers are 490, 670, 316, 687
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 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
GCD of numbers is the greatest common divisor
So, the GCD (490, 670, 316, 687) = 1.
Given numbers are 490, 670, 316, 687
The list of prime factors of all numbers are
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 670 are 2 x 5 x 67
Prime factors of 316 are 2 x 2 x 79
Prime factors of 687 are 3 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 490, 670, 316, 687
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(490, 670) = 32830
GCD(490, 670) = ( 490 x 670 ) / 32830
= 490 / 670
= 490
Step2:
LCM(10, 316) = 1580
GCD(10, 316) = ( 10 x 316 ) / 1580
= 10 / 316
= 10
Step3:
LCM(2, 687) = 1374
GCD(2, 687) = ( 2 x 687 ) / 1374
= 2 / 687
= 2
So, Greatest Common Divisor of 490, 670, 316, 687 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 490, 670, 316, 687
The greatest common divisor of numbers 490, 670, 316, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 670, 316, 687 is 1.
1. What is the GCD of 490, 670, 316, 687?
GCD of given numbers 490, 670, 316, 687 is 1
2. How to calculate the greatest common divisor of 490, 670, 316, 687?
We can find the highest common divisor of 490, 670, 316, 687 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, 670, 316, 687 i.e 1.
3. How can I use the GCD of 490, 670, 316, 687Calculator?
Out the numbers 490, 670, 316, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.