Online GCD Calculator is useful to find the GCD of 849, 140, 765, 748 quickly. Get the easiest ways to solve the greatest common divisor of 849, 140, 765, 748 i.e 1 in different methods as follows.
Given Input numbers are 849, 140, 765, 748
In the factoring method, we have to find the divisors of all numbers
Divisors of 849 :
The positive integer divisors of 849 that completely divides 849 are.
1, 3, 283, 849
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
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 (849, 140, 765, 748) = 1.
Given numbers are 849, 140, 765, 748
The list of prime factors of all numbers are
Prime factors of 849 are 3 x 283
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 765 are 3 x 3 x 5 x 17
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 849, 140, 765, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(849, 140) = 118860
GCD(849, 140) = ( 849 x 140 ) / 118860
= 849 / 140
= 849
Step2:
LCM(1, 765) = 765
GCD(1, 765) = ( 1 x 765 ) / 765
= 1 / 765
= 1
Step3:
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
= 1 / 748
= 1
So, Greatest Common Divisor of 849, 140, 765, 748 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 849, 140, 765, 748
The greatest common divisor of numbers 849, 140, 765, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 140, 765, 748 is 1.
1. What is the GCD of 849, 140, 765, 748?
GCD of given numbers 849, 140, 765, 748 is 1
2. How to calculate the greatest common divisor of 849, 140, 765, 748?
We can find the highest common divisor of 849, 140, 765, 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 849, 140, 765, 748 i.e 1.
3. How can I use the GCD of 849, 140, 765, 748Calculator?
Out the numbers 849, 140, 765, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.