Online GCD Calculator is useful to find the GCD of 760, 674, 748, 614 quickly. Get the easiest ways to solve the greatest common divisor of 760, 674, 748, 614 i.e 2 in different methods as follows.
Given Input numbers are 760, 674, 748, 614
In the factoring method, we have to find the divisors of all numbers
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
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 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
GCD of numbers is the greatest common divisor
So, the GCD (760, 674, 748, 614) = 2.
Given numbers are 760, 674, 748, 614
The list of prime factors of all numbers are
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 674 are 2 x 337
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 614 are 2 x 307
The highest common occurrence is 21
Therefore, GCD of 760, 674, 748, 614 is 2.
Given numbers are 760, 674, 748, 614
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(760, 674) = 256120
GCD(760, 674) = ( 760 x 674 ) / 256120
= 760 / 674
= 760
Step2:
LCM(2, 748) = 748
GCD(2, 748) = ( 2 x 748 ) / 748
= 2 / 748
= 2
Step3:
LCM(2, 614) = 614
GCD(2, 614) = ( 2 x 614 ) / 614
= 2 / 614
= 2
So, Greatest Common Divisor of 760, 674, 748, 614 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 760, 674, 748, 614
The greatest common divisor of numbers 760, 674, 748, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 674, 748, 614 is 2.
1. What is the GCD of 760, 674, 748, 614?
GCD of given numbers 760, 674, 748, 614 is 2
2. How to calculate the greatest common divisor of 760, 674, 748, 614?
We can find the highest common divisor of 760, 674, 748, 614 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 760, 674, 748, 614 i.e 2.
3. How can I use the GCD of 760, 674, 748, 614Calculator?
Out the numbers 760, 674, 748, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.