GCF of 819/681, 128/558, 947/271
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 819/681, 128/558, 947/271 i.e 1/34326486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 819/681, 128/558, 947/271.
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 819/681,128/558,947/271?
Given fractions are 819/681,128/558,947/271
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 819/681,128/558,947/271, numerators are 819,128,947
Denominators are 681,558,271
The GCF of 819,128,947 is 1 .
LCM of 681,558,271 is 34326486.
The greatest common factor of 819/681,128/558,947/271 = [GCF of 819,128,947]/[LCM of 681,558,271]= 1/34326486
Therefore, the GCF of 819/681,128/558,947/271 is 1/34326486.
To find the highest common factor of 819,128,947, we have to find the factors of both numbers and list the highest common factor.
The factors of 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
The factors of 947 are 1, 947
The HCF of 819,128,947 is 1.
Lets's calculate GCF of 819,128,947
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 819,128,947 By Matching Biggest Common Factor Method
Now, list down the factors of 819
:1,3,7,9,13,21,39,63,91,117,273,819
Now, list down the factors of 128
:1,2,4,8,16,32,64,128
Now, list down the factors of 947
:1,947
Greatest Common Factor
We found the factors 819,128,947 . The biggest common factor number is the GCF number.
So the greatest common factor 819,128,947 is 1.
Lets's calculate LCM of 681,558,271
| 3 | 681, 558, 271 |
| 227, 186, 271 |
∴ So the LCM of the given numbers is 3 x 227 x 186 x 271 = 34326486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34326486
Therefore, the GCF of Fractions 819/681,128/558,947/271 is 1/34326486
Least Common Multiple of 681,558,271 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 681,558,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,558,271) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(681,558,271) x common factors =1 x 3 = 3
LCM(681,558,271) = ( 681 × 558 × 271 ) / 3
LCM(681,558,271) = 102979458 / 3
LCM(681,558,271) = 34326486
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 819/681, 128/558, 947/271
1. What is the HCF of 819,128,947?
The HCF of 819,128,947 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 819/681, 128/558, 947/271?
Answer: GCF of Numerators as per given numbers 819/681, 128/558, 947/271 is
GCF of Numerators i.e. for 819,128,947 is 1
LCM of denominators i.e. for 681,558,271 is 34326486.
Thus, GCF of Fractions is 1/34326486.Finally, GCF of Fractions for 819/681, 128/558, 947/271 is 1/34326486.