Online GCD Calculator is useful to find the GCD of 260, 754, 980, 378 quickly. Get the easiest ways to solve the greatest common divisor of 260, 754, 980, 378 i.e 2 in different methods as follows.
Given Input numbers are 260, 754, 980, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 260 :
The positive integer divisors of 260 that completely divides 260 are.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 754 :
The positive integer divisors of 754 that completely divides 754 are.
1, 2, 13, 26, 29, 58, 377, 754
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 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD of numbers is the greatest common divisor
So, the GCD (260, 754, 980, 378) = 2.
Given numbers are 260, 754, 980, 378
The list of prime factors of all numbers are
Prime factors of 260 are 2 x 2 x 5 x 13
Prime factors of 754 are 2 x 13 x 29
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 260, 754, 980, 378 is 2.
Given numbers are 260, 754, 980, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(260, 754) = 7540
GCD(260, 754) = ( 260 x 754 ) / 7540
= 260 / 754
= 260
Step2:
LCM(26, 980) = 12740
GCD(26, 980) = ( 26 x 980 ) / 12740
= 26 / 980
= 26
Step3:
LCM(2, 378) = 378
GCD(2, 378) = ( 2 x 378 ) / 378
= 2 / 378
= 2
So, Greatest Common Divisor of 260, 754, 980, 378 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 260, 754, 980, 378
The greatest common divisor of numbers 260, 754, 980, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 260, 754, 980, 378 is 2.
1. What is the GCD of 260, 754, 980, 378?
GCD of given numbers 260, 754, 980, 378 is 2
2. How to calculate the greatest common divisor of 260, 754, 980, 378?
We can find the highest common divisor of 260, 754, 980, 378 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 260, 754, 980, 378 i.e 2.
3. How can I use the GCD of 260, 754, 980, 378Calculator?
Out the numbers 260, 754, 980, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.