Online GCD Calculator is useful to find the GCD of 734, 126, 61 quickly. Get the easiest ways to solve the greatest common divisor of 734, 126, 61 i.e 1 in different methods as follows.
Given Input numbers are 734, 126, 61
In the factoring method, we have to find the divisors of all numbers
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 61 :
The positive integer divisors of 61 that completely divides 61 are.
1, 61
GCD of numbers is the greatest common divisor
So, the GCD (734, 126, 61) = 1.
Given numbers are 734, 126, 61
The list of prime factors of all numbers are
Prime factors of 734 are 2 x 367
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 61 are 61
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 734, 126, 61
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(734, 126) = 46242
GCD(734, 126) = ( 734 x 126 ) / 46242
= 734 / 126
= 734
Step2:
LCM(2, 61) = 122
GCD(2, 61) = ( 2 x 61 ) / 122
= 2 / 61
= 2
So, Greatest Common Divisor of 734, 126, 61 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 734, 126, 61
The greatest common divisor of numbers 734, 126, 61 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 126, 61 is 1.
1. What is the GCD of 734, 126, 61?
GCD of given numbers 734, 126, 61 is 1
2. How to calculate the greatest common divisor of 734, 126, 61?
We can find the highest common divisor of 734, 126, 61 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 734, 126, 61 i.e 1.
3. How can I use the GCD of 734, 126, 61Calculator?
Out the numbers 734, 126, 61 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.