GCF of 89/781, 171/236, 255/305
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 89/781, 171/236, 255/305 i.e 1/56216380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 89/781, 171/236, 255/305.
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 89/781,171/236,255/305?
Given fractions are 89/781,171/236,255/305
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 89/781,171/236,255/305, numerators are 89,171,255
Denominators are 781,236,305
The GCF of 89,171,255 is 1 .
LCM of 781,236,305 is 56216380.
The greatest common factor of 89/781,171/236,255/305 = [GCF of 89,171,255]/[LCM of 781,236,305]= 1/56216380
Therefore, the GCF of 89/781,171/236,255/305 is 1/56216380.
To find the highest common factor of 89,171,255, we have to find the factors of both numbers and list the highest common factor.
The factors of 89 are 1, 89
The factors of 171 are 1, 3, 9, 19, 57, 171
The factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255
The HCF of 89,171,255 is 1.
Lets's calculate GCF of 89,171,255
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 89,171,255 By Matching Biggest Common Factor Method
Now, list down the factors of 89
:1,89
Now, list down the factors of 171
:1,3,9,19,57,171
Now, list down the factors of 255
:1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors 89,171,255 . The biggest common factor number is the GCF number.
So the greatest common factor 89,171,255 is 1.
Lets's calculate LCM of 781,236,305
Given numbers has no common factors except 1. So, there LCM is their product i.e 56216380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56216380
Therefore, the GCF of Fractions 89/781,171/236,255/305 is 1/56216380
Least Common Multiple of 781,236,305 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 781,236,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,236,305) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(781,236,305) x common factors =1 x 1 = 1
LCM(781,236,305) = ( 781 × 236 × 305 ) / 1
LCM(781,236,305) = 56216380 / 1
LCM(781,236,305) = 56216380
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 89/781, 171/236, 255/305
1. What is the HCF of 89,171,255?
The HCF of 89,171,255 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 89/781, 171/236, 255/305?
Answer: GCF of Numerators as per given numbers 89/781, 171/236, 255/305 is
GCF of Numerators i.e. for 89,171,255 is 1
LCM of denominators i.e. for 781,236,305 is 56216380.
Thus, GCF of Fractions is 1/56216380.Finally, GCF of Fractions for 89/781, 171/236, 255/305 is 1/56216380.