GCF of 85/910, 886/721, 947/978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 85/910, 886/721, 947/978 i.e 1/45833970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 85/910, 886/721, 947/978.
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 85/910,886/721,947/978?
Given fractions are 85/910,886/721,947/978
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 85/910,886/721,947/978, numerators are 85,886,947
Denominators are 910,721,978
The GCF of 85,886,947 is 1 .
LCM of 910,721,978 is 45833970.
The greatest common factor of 85/910,886/721,947/978 = [GCF of 85,886,947]/[LCM of 910,721,978]= 1/45833970
Therefore, the GCF of 85/910,886/721,947/978 is 1/45833970.
To find the highest common factor of 85,886,947, we have to find the factors of both numbers and list the highest common factor.
The factors of 85 are 1, 5, 17, 85
The factors of 886 are 1, 2, 443, 886
The factors of 947 are 1, 947
The HCF of 85,886,947 is 1.
Lets's calculate GCF of 85,886,947
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 85,886,947 By Matching Biggest Common Factor Method
Now, list down the factors of 85
:1,5,17,85
Now, list down the factors of 886
:1,2,443,886
Now, list down the factors of 947
:1,947
Greatest Common Factor
We found the factors 85,886,947 . The biggest common factor number is the GCF number.
So the greatest common factor 85,886,947 is 1.
Lets's calculate LCM of 910,721,978
| 2 | 910, 721, 978 |
| 7 | 455, 721, 489 |
| 65, 103, 489 |
∴ So the LCM of the given numbers is 2 x 7 x 65 x 103 x 489 = 45833970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45833970
Therefore, the GCF of Fractions 85/910,886/721,947/978 is 1/45833970
Least Common Multiple of 910,721,978 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 910,721,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,721,978) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(910,721,978) x common factors =1 x 14 = 14
LCM(910,721,978) = ( 910 × 721 × 978 ) / 14
LCM(910,721,978) = 641675580 / 14
LCM(910,721,978) = 45833970
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 85/910, 886/721, 947/978
1. What is the HCF of 85,886,947?
The HCF of 85,886,947 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 85/910, 886/721, 947/978?
Answer: GCF of Numerators as per given numbers 85/910, 886/721, 947/978 is
GCF of Numerators i.e. for 85,886,947 is 1
LCM of denominators i.e. for 910,721,978 is 45833970.
Thus, GCF of Fractions is 1/45833970.Finally, GCF of Fractions for 85/910, 886/721, 947/978 is 1/45833970.