GCD of 548, 765, 980 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 548, 765, 980 quickly. Get the easiest ways to solve the greatest common divisor of 548, 765, 980 i.e 1 in different methods as follows.
Given Input numbers are 548, 765, 980
In the factoring method, we have to find the divisors of all numbers
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
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
GCD of numbers is the greatest common divisor
So, the GCD (548, 765, 980) = 1.
Given numbers are 548, 765, 980
The list of prime factors of all numbers are
Prime factors of 548 are 2 x 2 x 137
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 548, 765, 980 using LCM Formula
Given numbers are 548, 765, 980
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(548, 765) = 419220
GCD(548, 765) = ( 548 x 765 ) / 419220
= 548 / 765
= 548
Step2:
LCM(1, 980) = 980
GCD(1, 980) = ( 1 x 980 ) / 980
= 1 / 980
= 1
So, Greatest Common Divisor of 548, 765, 980 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 548, 765, 980
Given numbers are 548, 765, 980
The greatest common divisor of numbers 548, 765, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 765, 980 is 1.
FAQs on GCD of 548, 765, 980 Calculator
1. What is the GCD of 548, 765, 980?
GCD of given numbers 548, 765, 980 is 1
2. How to calculate the greatest common divisor of 548, 765, 980?
We can find the highest common divisor of 548, 765, 980 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 548, 765, 980 i.e 1.
3. How can I use the GCD of 548, 765, 980Calculator?
Out the numbers 548, 765, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.