Online GCD Calculator is useful to find the GCD of 774, 840, 980, 746 quickly. Get the easiest ways to solve the greatest common divisor of 774, 840, 980, 746 i.e 2 in different methods as follows.
Given Input numbers are 774, 840, 980, 746
In the factoring method, we have to find the divisors of all numbers
Divisors of 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
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 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
GCD of numbers is the greatest common divisor
So, the GCD (774, 840, 980, 746) = 2.
Given numbers are 774, 840, 980, 746
The list of prime factors of all numbers are
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 746 are 2 x 373
The highest common occurrence is 21
Therefore, GCD of 774, 840, 980, 746 is 2.
Given numbers are 774, 840, 980, 746
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(774, 840) = 108360
GCD(774, 840) = ( 774 x 840 ) / 108360
= 774 / 840
= 774
Step2:
LCM(6, 980) = 2940
GCD(6, 980) = ( 6 x 980 ) / 2940
= 6 / 980
= 6
Step3:
LCM(2, 746) = 746
GCD(2, 746) = ( 2 x 746 ) / 746
= 2 / 746
= 2
So, Greatest Common Divisor of 774, 840, 980, 746 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 774, 840, 980, 746
The greatest common divisor of numbers 774, 840, 980, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 840, 980, 746 is 2.
1. What is the GCD of 774, 840, 980, 746?
GCD of given numbers 774, 840, 980, 746 is 2
2. How to calculate the greatest common divisor of 774, 840, 980, 746?
We can find the highest common divisor of 774, 840, 980, 746 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 774, 840, 980, 746 i.e 2.
3. How can I use the GCD of 774, 840, 980, 746Calculator?
Out the numbers 774, 840, 980, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.