Online GCD Calculator is useful to find the GCD of 690, 980, 660, 634 quickly. Get the easiest ways to solve the greatest common divisor of 690, 980, 660, 634 i.e 2 in different methods as follows.
Given Input numbers are 690, 980, 660, 634
In the factoring method, we have to find the divisors of all numbers
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 634 :
The positive integer divisors of 634 that completely divides 634 are.
1, 2, 317, 634
GCD of numbers is the greatest common divisor
So, the GCD (690, 980, 660, 634) = 2.
Given numbers are 690, 980, 660, 634
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 634 are 2 x 317
The highest common occurrence is 21
Therefore, GCD of 690, 980, 660, 634 is 2.
Given numbers are 690, 980, 660, 634
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 980) = 67620
GCD(690, 980) = ( 690 x 980 ) / 67620
= 690 / 980
= 690
Step2:
LCM(10, 660) = 660
GCD(10, 660) = ( 10 x 660 ) / 660
= 10 / 660
= 10
Step3:
LCM(10, 634) = 3170
GCD(10, 634) = ( 10 x 634 ) / 3170
= 10 / 634
= 10
So, Greatest Common Divisor of 690, 980, 660, 634 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 980, 660, 634
The greatest common divisor of numbers 690, 980, 660, 634 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 980, 660, 634 is 2.
1. What is the GCD of 690, 980, 660, 634?
GCD of given numbers 690, 980, 660, 634 is 2
2. How to calculate the greatest common divisor of 690, 980, 660, 634?
We can find the highest common divisor of 690, 980, 660, 634 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 690, 980, 660, 634 i.e 2.
3. How can I use the GCD of 690, 980, 660, 634Calculator?
Out the numbers 690, 980, 660, 634 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.