GCF of 55/205, 90/284, 143/549
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 55/205, 90/284, 143/549 i.e 1/31962780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 55/205, 90/284, 143/549.
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 55/205,90/284,143/549?
Given fractions are 55/205,90/284,143/549
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 55/205,90/284,143/549, numerators are 55,90,143
Denominators are 205,284,549
The GCF of 55,90,143 is 1 .
LCM of 205,284,549 is 31962780.
The greatest common factor of 55/205,90/284,143/549 = [GCF of 55,90,143]/[LCM of 205,284,549]= 1/31962780
Therefore, the GCF of 55/205,90/284,143/549 is 1/31962780.
To find the highest common factor of 55,90,143, we have to find the factors of both numbers and list the highest common factor.
The factors of 55 are 1, 5, 11, 55
The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
The factors of 143 are 1, 11, 13, 143
The HCF of 55,90,143 is 1.
Lets's calculate GCF of 55,90,143
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 55,90,143 By Matching Biggest Common Factor Method
Now, list down the factors of 55
:1,5,11,55
Now, list down the factors of 90
:1,2,3,5,6,9,10,15,18,30,45,90
Now, list down the factors of 143
:1,11,13,143
Greatest Common Factor
We found the factors 55,90,143 . The biggest common factor number is the GCF number.
So the greatest common factor 55,90,143 is 1.
Lets's calculate LCM of 205,284,549
Given numbers has no common factors except 1. So, there LCM is their product i.e 31962780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31962780
Therefore, the GCF of Fractions 55/205,90/284,143/549 is 1/31962780
Least Common Multiple of 205,284,549 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 205,284,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,284,549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(205,284,549) x common factors =1 x 1 = 1
LCM(205,284,549) = ( 205 × 284 × 549 ) / 1
LCM(205,284,549) = 31962780 / 1
LCM(205,284,549) = 31962780
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 55/205, 90/284, 143/549
1. What is the HCF of 55,90,143?
The HCF of 55,90,143 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 55/205, 90/284, 143/549?
Answer: GCF of Numerators as per given numbers 55/205, 90/284, 143/549 is
GCF of Numerators i.e. for 55,90,143 is 1
LCM of denominators i.e. for 205,284,549 is 31962780.
Thus, GCF of Fractions is 1/31962780.Finally, GCF of Fractions for 55/205, 90/284, 143/549 is 1/31962780.