Online GCD Calculator is useful to find the GCD of 957, 749, 112, 142 quickly. Get the easiest ways to solve the greatest common divisor of 957, 749, 112, 142 i.e 1 in different methods as follows.
Given Input numbers are 957, 749, 112, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 957 :
The positive integer divisors of 957 that completely divides 957 are.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (957, 749, 112, 142) = 1.
Given numbers are 957, 749, 112, 142
The list of prime factors of all numbers are
Prime factors of 957 are 3 x 11 x 29
Prime factors of 749 are 7 x 107
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 142 are 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 957, 749, 112, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(957, 749) = 716793
GCD(957, 749) = ( 957 x 749 ) / 716793
= 957 / 749
= 957
Step2:
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
= 1 / 112
= 1
Step3:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
So, Greatest Common Divisor of 957, 749, 112, 142 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 957, 749, 112, 142
The greatest common divisor of numbers 957, 749, 112, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 957, 749, 112, 142 is 1.
1. What is the GCD of 957, 749, 112, 142?
GCD of given numbers 957, 749, 112, 142 is 1
2. How to calculate the greatest common divisor of 957, 749, 112, 142?
We can find the highest common divisor of 957, 749, 112, 142 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 957, 749, 112, 142 i.e 1.
3. How can I use the GCD of 957, 749, 112, 142Calculator?
Out the numbers 957, 749, 112, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.