Online GCD Calculator is useful to find the GCD of 848, 109, 705, 742 quickly. Get the easiest ways to solve the greatest common divisor of 848, 109, 705, 742 i.e 1 in different methods as follows.
Given Input numbers are 848, 109, 705, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 848 :
The positive integer divisors of 848 that completely divides 848 are.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (848, 109, 705, 742) = 1.
Given numbers are 848, 109, 705, 742
The list of prime factors of all numbers are
Prime factors of 848 are 2 x 2 x 2 x 2 x 53
Prime factors of 109 are 109
Prime factors of 705 are 3 x 5 x 47
Prime factors of 742 are 2 x 7 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 848, 109, 705, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(848, 109) = 92432
GCD(848, 109) = ( 848 x 109 ) / 92432
= 848 / 109
= 848
Step2:
LCM(1, 705) = 705
GCD(1, 705) = ( 1 x 705 ) / 705
= 1 / 705
= 1
Step3:
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
= 1 / 742
= 1
So, Greatest Common Divisor of 848, 109, 705, 742 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 848, 109, 705, 742
The greatest common divisor of numbers 848, 109, 705, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 848, 109, 705, 742 is 1.
1. What is the GCD of 848, 109, 705, 742?
GCD of given numbers 848, 109, 705, 742 is 1
2. How to calculate the greatest common divisor of 848, 109, 705, 742?
We can find the highest common divisor of 848, 109, 705, 742 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 848, 109, 705, 742 i.e 1.
3. How can I use the GCD of 848, 109, 705, 742Calculator?
Out the numbers 848, 109, 705, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.