Online GCD Calculator is useful to find the GCD of 490, 358, 354, 778 quickly. Get the easiest ways to solve the greatest common divisor of 490, 358, 354, 778 i.e 2 in different methods as follows.
Given Input numbers are 490, 358, 354, 778
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 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 778 :
The positive integer divisors of 778 that completely divides 778 are.
1, 2, 389, 778
GCD of numbers is the greatest common divisor
So, the GCD (490, 358, 354, 778) = 2.
Given numbers are 490, 358, 354, 778
The list of prime factors of all numbers are
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 358 are 2 x 179
Prime factors of 354 are 2 x 3 x 59
Prime factors of 778 are 2 x 389
The highest common occurrence is 21
Therefore, GCD of 490, 358, 354, 778 is 2.
Given numbers are 490, 358, 354, 778
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(490, 358) = 87710
GCD(490, 358) = ( 490 x 358 ) / 87710
= 490 / 358
= 490
Step2:
LCM(2, 354) = 354
GCD(2, 354) = ( 2 x 354 ) / 354
= 2 / 354
= 2
Step3:
LCM(2, 778) = 778
GCD(2, 778) = ( 2 x 778 ) / 778
= 2 / 778
= 2
So, Greatest Common Divisor of 490, 358, 354, 778 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 490, 358, 354, 778
The greatest common divisor of numbers 490, 358, 354, 778 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 358, 354, 778 is 2.
1. What is the GCD of 490, 358, 354, 778?
GCD of given numbers 490, 358, 354, 778 is 2
2. How to calculate the greatest common divisor of 490, 358, 354, 778?
We can find the highest common divisor of 490, 358, 354, 778 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, 358, 354, 778 i.e 2.
3. How can I use the GCD of 490, 358, 354, 778Calculator?
Out the numbers 490, 358, 354, 778 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.