Online GCD Calculator is useful to find the GCD of 157, 100, 345, 672 quickly. Get the easiest ways to solve the greatest common divisor of 157, 100, 345, 672 i.e 1 in different methods as follows.
Given Input numbers are 157, 100, 345, 672
In the factoring method, we have to find the divisors of all numbers
Divisors of 157 :
The positive integer divisors of 157 that completely divides 157 are.
1, 157
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
GCD of numbers is the greatest common divisor
So, the GCD (157, 100, 345, 672) = 1.
Given numbers are 157, 100, 345, 672
The list of prime factors of all numbers are
Prime factors of 157 are 157
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 345 are 3 x 5 x 23
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 157, 100, 345, 672
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(157, 100) = 15700
GCD(157, 100) = ( 157 x 100 ) / 15700
= 157 / 100
= 157
Step2:
LCM(1, 345) = 345
GCD(1, 345) = ( 1 x 345 ) / 345
= 1 / 345
= 1
Step3:
LCM(1, 672) = 672
GCD(1, 672) = ( 1 x 672 ) / 672
= 1 / 672
= 1
So, Greatest Common Divisor of 157, 100, 345, 672 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 157, 100, 345, 672
The greatest common divisor of numbers 157, 100, 345, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 157, 100, 345, 672 is 1.
1. What is the GCD of 157, 100, 345, 672?
GCD of given numbers 157, 100, 345, 672 is 1
2. How to calculate the greatest common divisor of 157, 100, 345, 672?
We can find the highest common divisor of 157, 100, 345, 672 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 157, 100, 345, 672 i.e 1.
3. How can I use the GCD of 157, 100, 345, 672Calculator?
Out the numbers 157, 100, 345, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.