GCF of 927/278, 783/806
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 927/278, 783/806 i.e 9/112034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 927/278, 783/806.
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 927/278,783/806?
Given fractions are 927/278,783/806
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 927/278,783/806, numerators are 927,783
Denominators are 278,806
The GCF of 927,783 is 9 .
LCM of 278,806 is 112034.
The greatest common factor of 927/278,783/806 = [GCF of 927,783]/[LCM of 278,806]= 9/112034
Therefore, the GCF of 927/278,783/806 is 9/112034.
To find the highest common factor of 927,783, we have to find the factors of both numbers and list the highest common factor.
The factors of 927 are 1, 3, 9, 103, 309, 927
The factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783
The HCF of 927,783 is 9.
Lets's calculate GCF of 927,783
| 3 | 927, 783 |
| 3 | 309, 261 |
| 103, 87 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 927,783 By Matching Biggest Common Factor Method
Now, list down the factors of 927
:1,3,9,103,309,927
Now, list down the factors of 783
:1,3,9,27,29,87,261,783
Greatest Common Factor
We found the factors 927,783 . The biggest common factor number is the GCF number.
So the greatest common factor 927,783 is 9.
Lets's calculate LCM of 278,806
| 2 | 278, 806 |
| 139, 403 |
∴ So the LCM of the given numbers is 2 x 139 x 403 = 112034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/112034
Therefore, the GCF of Fractions 927/278,783/806 is 9/112034
Least Common Multiple of 278,806 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 278,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,806) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(278,806) x common factors =2 x 1 = 2
LCM(278,806) = ( 278 × 806 ) / 2
LCM(278,806) = 224068 / 2
LCM(278,806) = 112034
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 927/278, 783/806
1. What is the HCF of 927,783?
The HCF of 927,783 is 9
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 927/278, 783/806?
Answer: GCF of Numerators as per given numbers 927/278, 783/806 is
GCF of Numerators i.e. for 927,783 is 9
LCM of denominators i.e. for 278,806 is 112034.
Thus, GCF of Fractions is 9/112034.Finally, GCF of Fractions for 927/278, 783/806 is 9/112034.