GCF of 131/55, 547/489
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 131/55, 547/489 i.e 1/26895 easily. The following is the detailed procedure to determine the greatest common factor of fractions 131/55, 547/489.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 131/55,547/489?
Given fractions are 131/55,547/489
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 131/55,547/489, numerators are 131,547
Denominators are 55,489
The GCF of 131,547 is 1 .
LCM of 55,489 is 26895.
The greatest common factor of 131/55,547/489 = [GCF of 131,547]/[LCM of 55,489]= 1/26895
Therefore, the GCF of 131/55,547/489 is 1/26895.
To find the highest common factor of 131,547, we have to find the factors of both numbers and list the highest common factor.
The factors of 131 are 1, 131
The factors of 547 are 1, 547
The HCF of 131,547 is 1.
Lets's calculate GCF of 131,547
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 131,547 By Matching Biggest Common Factor Method
Now, list down the factors of 131
:1,131
Now, list down the factors of 547
:1,547
Greatest Common Factor
We found the factors 131,547 . The biggest common factor number is the GCF number.
So the greatest common factor 131,547 is 1.
Lets's calculate LCM of 55,489
Given numbers has no common factors except 1. So, there LCM is their product i.e 26895
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26895
Therefore, the GCF of Fractions 131/55,547/489 is 1/26895
Least Common Multiple of 55,489 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 55,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,489) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,489) x common factors =1 x 1 = 1
LCM(55,489) = ( 55 × 489 ) / 1
LCM(55,489) = 26895 / 1
LCM(55,489) = 26895
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 131/55, 547/489
1. What is the HCF of 131,547?
The HCF of 131,547 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 131/55, 547/489?
Answer: GCF of Numerators as per given numbers 131/55, 547/489 is
GCF of Numerators i.e. for 131,547 is 1
LCM of denominators i.e. for 55,489 is 26895.
Thus, GCF of Fractions is 1/26895.Finally, GCF of Fractions for 131/55, 547/489 is 1/26895.