Online GCD Calculator is useful to find the GCD of 980, 624, 685, 742 quickly. Get the easiest ways to solve the greatest common divisor of 980, 624, 685, 742 i.e 1 in different methods as follows.
Given Input numbers are 980, 624, 685, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 685 :
The positive integer divisors of 685 that completely divides 685 are.
1, 5, 137, 685
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (980, 624, 685, 742) = 1.
Given numbers are 980, 624, 685, 742
The list of prime factors of all numbers are
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 685 are 5 x 137
Prime factors of 742 are 2 x 7 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 980, 624, 685, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(980, 624) = 152880
GCD(980, 624) = ( 980 x 624 ) / 152880
= 980 / 624
= 980
Step2:
LCM(4, 685) = 2740
GCD(4, 685) = ( 4 x 685 ) / 2740
= 4 / 685
= 4
Step3:
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
= 1 / 742
= 1
So, Greatest Common Divisor of 980, 624, 685, 742 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 980, 624, 685, 742
The greatest common divisor of numbers 980, 624, 685, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 624, 685, 742 is 1.
1. What is the GCD of 980, 624, 685, 742?
GCD of given numbers 980, 624, 685, 742 is 1
2. How to calculate the greatest common divisor of 980, 624, 685, 742?
We can find the highest common divisor of 980, 624, 685, 742 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 980, 624, 685, 742 i.e 1.
3. How can I use the GCD of 980, 624, 685, 742Calculator?
Out the numbers 980, 624, 685, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.