Online GCD Calculator is useful to find the GCD of 140, 692, 313, 736 quickly. Get the easiest ways to solve the greatest common divisor of 140, 692, 313, 736 i.e 1 in different methods as follows.
Given Input numbers are 140, 692, 313, 736
In the factoring method, we have to find the divisors of all numbers
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 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
GCD of numbers is the greatest common divisor
So, the GCD (140, 692, 313, 736) = 1.
Given numbers are 140, 692, 313, 736
The list of prime factors of all numbers are
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 692 are 2 x 2 x 173
Prime factors of 313 are 313
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 140, 692, 313, 736
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(140, 692) = 24220
GCD(140, 692) = ( 140 x 692 ) / 24220
= 140 / 692
= 140
Step2:
LCM(4, 313) = 1252
GCD(4, 313) = ( 4 x 313 ) / 1252
= 4 / 313
= 4
Step3:
LCM(1, 736) = 736
GCD(1, 736) = ( 1 x 736 ) / 736
= 1 / 736
= 1
So, Greatest Common Divisor of 140, 692, 313, 736 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 140, 692, 313, 736
The greatest common divisor of numbers 140, 692, 313, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 692, 313, 736 is 1.
1. What is the GCD of 140, 692, 313, 736?
GCD of given numbers 140, 692, 313, 736 is 1
2. How to calculate the greatest common divisor of 140, 692, 313, 736?
We can find the highest common divisor of 140, 692, 313, 736 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 140, 692, 313, 736 i.e 1.
3. How can I use the GCD of 140, 692, 313, 736Calculator?
Out the numbers 140, 692, 313, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.