Online GCD Calculator is useful to find the GCD of 280, 542, 77, 140 quickly. Get the easiest ways to solve the greatest common divisor of 280, 542, 77, 140 i.e 1 in different methods as follows.
Given Input numbers are 280, 542, 77, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
Divisors of 77 :
The positive integer divisors of 77 that completely divides 77 are.
1, 7, 11, 77
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
GCD of numbers is the greatest common divisor
So, the GCD (280, 542, 77, 140) = 1.
Given numbers are 280, 542, 77, 140
The list of prime factors of all numbers are
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 542 are 2 x 271
Prime factors of 77 are 7 x 11
Prime factors of 140 are 2 x 2 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 280, 542, 77, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(280, 542) = 75880
GCD(280, 542) = ( 280 x 542 ) / 75880
= 280 / 542
= 280
Step2:
LCM(2, 77) = 154
GCD(2, 77) = ( 2 x 77 ) / 154
= 2 / 77
= 2
Step3:
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
= 1 / 140
= 1
So, Greatest Common Divisor of 280, 542, 77, 140 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 280, 542, 77, 140
The greatest common divisor of numbers 280, 542, 77, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 542, 77, 140 is 1.
1. What is the GCD of 280, 542, 77, 140?
GCD of given numbers 280, 542, 77, 140 is 1
2. How to calculate the greatest common divisor of 280, 542, 77, 140?
We can find the highest common divisor of 280, 542, 77, 140 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 280, 542, 77, 140 i.e 1.
3. How can I use the GCD of 280, 542, 77, 140Calculator?
Out the numbers 280, 542, 77, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.