Online GCD Calculator is useful to find the GCD of 987, 748, 688, 649 quickly. Get the easiest ways to solve the greatest common divisor of 987, 748, 688, 649 i.e 1 in different methods as follows.
Given Input numbers are 987, 748, 688, 649
In the factoring method, we have to find the divisors of all numbers
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 649 :
The positive integer divisors of 649 that completely divides 649 are.
1, 11, 59, 649
GCD of numbers is the greatest common divisor
So, the GCD (987, 748, 688, 649) = 1.
Given numbers are 987, 748, 688, 649
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 649 are 11 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 987, 748, 688, 649
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 748) = 738276
GCD(987, 748) = ( 987 x 748 ) / 738276
= 987 / 748
= 987
Step2:
LCM(1, 688) = 688
GCD(1, 688) = ( 1 x 688 ) / 688
= 1 / 688
= 1
Step3:
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
= 1 / 649
= 1
So, Greatest Common Divisor of 987, 748, 688, 649 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 987, 748, 688, 649
The greatest common divisor of numbers 987, 748, 688, 649 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 748, 688, 649 is 1.
1. What is the GCD of 987, 748, 688, 649?
GCD of given numbers 987, 748, 688, 649 is 1
2. How to calculate the greatest common divisor of 987, 748, 688, 649?
We can find the highest common divisor of 987, 748, 688, 649 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 987, 748, 688, 649 i.e 1.
3. How can I use the GCD of 987, 748, 688, 649Calculator?
Out the numbers 987, 748, 688, 649 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.