GCF of 809/12, 742/648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 809/12, 742/648 i.e 1/648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 809/12, 742/648.
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 809/12,742/648?
Given fractions are 809/12,742/648
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 809/12,742/648, numerators are 809,742
Denominators are 12,648
The GCF of 809,742 is 1 .
LCM of 12,648 is 648.
The greatest common factor of 809/12,742/648 = [GCF of 809,742]/[LCM of 12,648]= 1/648
Therefore, the GCF of 809/12,742/648 is 1/648.
To find the highest common factor of 809,742, we have to find the factors of both numbers and list the highest common factor.
The factors of 809 are 1, 809
The factors of 742 are 1, 2, 7, 14, 53, 106, 371, 742
The HCF of 809,742 is 1.
Lets's calculate GCF of 809,742
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 809,742 By Matching Biggest Common Factor Method
Now, list down the factors of 809
:1,809
Now, list down the factors of 742
:1,2,7,14,53,106,371,742
Greatest Common Factor
We found the factors 809,742 . The biggest common factor number is the GCF number.
So the greatest common factor 809,742 is 1.
Lets's calculate LCM of 12,648
| 2 | 12, 648 |
| 2 | 6, 324 |
| 3 | 3, 162 |
| 1, 54 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 54 = 648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/648
Therefore, the GCF of Fractions 809/12,742/648 is 1/648
Least Common Multiple of 12,648 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 12,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,648) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(12,648) x common factors =12 x 1 = 12
LCM(12,648) = ( 12 × 648 ) / 12
LCM(12,648) = 7776 / 12
LCM(12,648) = 648
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FAQs on GCF of Fractions of 809/12, 742/648
1. What is the HCF of 809,742?
The HCF of 809,742 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 809/12, 742/648?
Answer: GCF of Numerators as per given numbers 809/12, 742/648 is
GCF of Numerators i.e. for 809,742 is 1
LCM of denominators i.e. for 12,648 is 648.
Thus, GCF of Fractions is 1/648.Finally, GCF of Fractions for 809/12, 742/648 is 1/648.