Online GCD Calculator is useful to find the GCD of 157, 140, 420, 299 quickly. Get the easiest ways to solve the greatest common divisor of 157, 140, 420, 299 i.e 1 in different methods as follows.
Given Input numbers are 157, 140, 420, 299
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 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 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 299 :
The positive integer divisors of 299 that completely divides 299 are.
1, 13, 23, 299
GCD of numbers is the greatest common divisor
So, the GCD (157, 140, 420, 299) = 1.
Given numbers are 157, 140, 420, 299
The list of prime factors of all numbers are
Prime factors of 157 are 157
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 299 are 13 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 157, 140, 420, 299
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(157, 140) = 21980
GCD(157, 140) = ( 157 x 140 ) / 21980
= 157 / 140
= 157
Step2:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
Step3:
LCM(1, 299) = 299
GCD(1, 299) = ( 1 x 299 ) / 299
= 1 / 299
= 1
So, Greatest Common Divisor of 157, 140, 420, 299 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 157, 140, 420, 299
The greatest common divisor of numbers 157, 140, 420, 299 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 157, 140, 420, 299 is 1.
1. What is the GCD of 157, 140, 420, 299?
GCD of given numbers 157, 140, 420, 299 is 1
2. How to calculate the greatest common divisor of 157, 140, 420, 299?
We can find the highest common divisor of 157, 140, 420, 299 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, 140, 420, 299 i.e 1.
3. How can I use the GCD of 157, 140, 420, 299Calculator?
Out the numbers 157, 140, 420, 299 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.