Online GCD Calculator is useful to find the GCD of 562, 292, 266, 490 quickly. Get the easiest ways to solve the greatest common divisor of 562, 292, 266, 490 i.e 2 in different methods as follows.
Given Input numbers are 562, 292, 266, 490
In the factoring method, we have to find the divisors of all numbers
Divisors of 562 :
The positive integer divisors of 562 that completely divides 562 are.
1, 2, 281, 562
Divisors of 292 :
The positive integer divisors of 292 that completely divides 292 are.
1, 2, 4, 73, 146, 292
Divisors of 266 :
The positive integer divisors of 266 that completely divides 266 are.
1, 2, 7, 14, 19, 38, 133, 266
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
GCD of numbers is the greatest common divisor
So, the GCD (562, 292, 266, 490) = 2.
Given numbers are 562, 292, 266, 490
The list of prime factors of all numbers are
Prime factors of 562 are 2 x 281
Prime factors of 292 are 2 x 2 x 73
Prime factors of 266 are 2 x 7 x 19
Prime factors of 490 are 2 x 5 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 562, 292, 266, 490 is 2.
Given numbers are 562, 292, 266, 490
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(562, 292) = 82052
GCD(562, 292) = ( 562 x 292 ) / 82052
= 562 / 292
= 562
Step2:
LCM(2, 266) = 266
GCD(2, 266) = ( 2 x 266 ) / 266
= 2 / 266
= 2
Step3:
LCM(2, 490) = 490
GCD(2, 490) = ( 2 x 490 ) / 490
= 2 / 490
= 2
So, Greatest Common Divisor of 562, 292, 266, 490 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 562, 292, 266, 490
The greatest common divisor of numbers 562, 292, 266, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 562, 292, 266, 490 is 2.
1. What is the GCD of 562, 292, 266, 490?
GCD of given numbers 562, 292, 266, 490 is 2
2. How to calculate the greatest common divisor of 562, 292, 266, 490?
We can find the highest common divisor of 562, 292, 266, 490 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 562, 292, 266, 490 i.e 2.
3. How can I use the GCD of 562, 292, 266, 490Calculator?
Out the numbers 562, 292, 266, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.