Online GCD Calculator is useful to find the GCD of 940, 752, 980, 674 quickly. Get the easiest ways to solve the greatest common divisor of 940, 752, 980, 674 i.e 2 in different methods as follows.
Given Input numbers are 940, 752, 980, 674
In the factoring method, we have to find the divisors of all numbers
Divisors of 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
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 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
GCD of numbers is the greatest common divisor
So, the GCD (940, 752, 980, 674) = 2.
Given numbers are 940, 752, 980, 674
The list of prime factors of all numbers are
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 674 are 2 x 337
The highest common occurrence is 21
Therefore, GCD of 940, 752, 980, 674 is 2.
Given numbers are 940, 752, 980, 674
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(940, 752) = 3760
GCD(940, 752) = ( 940 x 752 ) / 3760
= 940 / 752
= 940
Step2:
LCM(188, 980) = 46060
GCD(188, 980) = ( 188 x 980 ) / 46060
= 188 / 980
= 188
Step3:
LCM(4, 674) = 1348
GCD(4, 674) = ( 4 x 674 ) / 1348
= 4 / 674
= 4
So, Greatest Common Divisor of 940, 752, 980, 674 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 940, 752, 980, 674
The greatest common divisor of numbers 940, 752, 980, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 940, 752, 980, 674 is 2.
1. What is the GCD of 940, 752, 980, 674?
GCD of given numbers 940, 752, 980, 674 is 2
2. How to calculate the greatest common divisor of 940, 752, 980, 674?
We can find the highest common divisor of 940, 752, 980, 674 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 940, 752, 980, 674 i.e 2.
3. How can I use the GCD of 940, 752, 980, 674Calculator?
Out the numbers 940, 752, 980, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.