Online GCD Calculator is useful to find the GCD of 540, 480, 749, 702 quickly. Get the easiest ways to solve the greatest common divisor of 540, 480, 749, 702 i.e 1 in different methods as follows.
Given Input numbers are 540, 480, 749, 702
In the factoring method, we have to find the divisors of all numbers
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
GCD of numbers is the greatest common divisor
So, the GCD (540, 480, 749, 702) = 1.
Given numbers are 540, 480, 749, 702
The list of prime factors of all numbers are
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 749 are 7 x 107
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 540, 480, 749, 702
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(540, 480) = 4320
GCD(540, 480) = ( 540 x 480 ) / 4320
= 540 / 480
= 540
Step2:
LCM(60, 749) = 44940
GCD(60, 749) = ( 60 x 749 ) / 44940
= 60 / 749
= 60
Step3:
LCM(1, 702) = 702
GCD(1, 702) = ( 1 x 702 ) / 702
= 1 / 702
= 1
So, Greatest Common Divisor of 540, 480, 749, 702 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 540, 480, 749, 702
The greatest common divisor of numbers 540, 480, 749, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 480, 749, 702 is 1.
1. What is the GCD of 540, 480, 749, 702?
GCD of given numbers 540, 480, 749, 702 is 1
2. How to calculate the greatest common divisor of 540, 480, 749, 702?
We can find the highest common divisor of 540, 480, 749, 702 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 540, 480, 749, 702 i.e 1.
3. How can I use the GCD of 540, 480, 749, 702Calculator?
Out the numbers 540, 480, 749, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.