Online GCD Calculator is useful to find the GCD of 994, 542, 562, 688 quickly. Get the easiest ways to solve the greatest common divisor of 994, 542, 562, 688 i.e 2 in different methods as follows.
Given Input numbers are 994, 542, 562, 688
In the factoring method, we have to find the divisors of all numbers
Divisors of 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
Divisors of 562 :
The positive integer divisors of 562 that completely divides 562 are.
1, 2, 281, 562
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
GCD of numbers is the greatest common divisor
So, the GCD (994, 542, 562, 688) = 2.
Given numbers are 994, 542, 562, 688
The list of prime factors of all numbers are
Prime factors of 994 are 2 x 7 x 71
Prime factors of 542 are 2 x 271
Prime factors of 562 are 2 x 281
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
The highest common occurrence is 21
Therefore, GCD of 994, 542, 562, 688 is 2.
Given numbers are 994, 542, 562, 688
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(994, 542) = 269374
GCD(994, 542) = ( 994 x 542 ) / 269374
= 994 / 542
= 994
Step2:
LCM(2, 562) = 562
GCD(2, 562) = ( 2 x 562 ) / 562
= 2 / 562
= 2
Step3:
LCM(2, 688) = 688
GCD(2, 688) = ( 2 x 688 ) / 688
= 2 / 688
= 2
So, Greatest Common Divisor of 994, 542, 562, 688 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 994, 542, 562, 688
The greatest common divisor of numbers 994, 542, 562, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 994, 542, 562, 688 is 2.
1. What is the GCD of 994, 542, 562, 688?
GCD of given numbers 994, 542, 562, 688 is 2
2. How to calculate the greatest common divisor of 994, 542, 562, 688?
We can find the highest common divisor of 994, 542, 562, 688 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 994, 542, 562, 688 i.e 2.
3. How can I use the GCD of 994, 542, 562, 688Calculator?
Out the numbers 994, 542, 562, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.