Online GCD Calculator is useful to find the GCD of 671, 278, 132, 748 quickly. Get the easiest ways to solve the greatest common divisor of 671, 278, 132, 748 i.e 1 in different methods as follows.
Given Input numbers are 671, 278, 132, 748
In the factoring method, we have to find the divisors of all numbers
Divisors of 671 :
The positive integer divisors of 671 that completely divides 671 are.
1, 11, 61, 671
Divisors of 278 :
The positive integer divisors of 278 that completely divides 278 are.
1, 2, 139, 278
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
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
GCD of numbers is the greatest common divisor
So, the GCD (671, 278, 132, 748) = 1.
Given numbers are 671, 278, 132, 748
The list of prime factors of all numbers are
Prime factors of 671 are 11 x 61
Prime factors of 278 are 2 x 139
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 748 are 2 x 2 x 11 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 671, 278, 132, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(671, 278) = 186538
GCD(671, 278) = ( 671 x 278 ) / 186538
= 671 / 278
= 671
Step2:
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
= 1 / 132
= 1
Step3:
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
= 1 / 748
= 1
So, Greatest Common Divisor of 671, 278, 132, 748 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 671, 278, 132, 748
The greatest common divisor of numbers 671, 278, 132, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 671, 278, 132, 748 is 1.
1. What is the GCD of 671, 278, 132, 748?
GCD of given numbers 671, 278, 132, 748 is 1
2. How to calculate the greatest common divisor of 671, 278, 132, 748?
We can find the highest common divisor of 671, 278, 132, 748 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 671, 278, 132, 748 i.e 1.
3. How can I use the GCD of 671, 278, 132, 748Calculator?
Out the numbers 671, 278, 132, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.