GCF of 7801/894, 1469/9726
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7801/894, 1469/9726 i.e 1/1449174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7801/894, 1469/9726.
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 7801/894,1469/9726?
Given fractions are 7801/894,1469/9726
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 7801/894,1469/9726, numerators are 7801,1469
Denominators are 894,9726
The GCF of 7801,1469 is 1 .
LCM of 894,9726 is 1449174.
The greatest common factor of 7801/894,1469/9726 = [GCF of 7801,1469]/[LCM of 894,9726]= 1/1449174
Therefore, the GCF of 7801/894,1469/9726 is 1/1449174.
To find the highest common factor of 7801,1469, we have to find the factors of both numbers and list the highest common factor.
The factors of 7801 are 1, 29, 269, 7801
The factors of 1469 are 1, 13, 113, 1469
The HCF of 7801,1469 is 1.
Lets's calculate GCF of 7801,1469
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7801,1469 By Matching Biggest Common Factor Method
Now, list down the factors of 7801
:1,29,269,7801
Now, list down the factors of 1469
:1,13,113,1469
Greatest Common Factor
We found the factors 7801,1469 . The biggest common factor number is the GCF number.
So the greatest common factor 7801,1469 is 1.
Lets's calculate LCM of 894,9726
| 2 | 894, 9726 |
| 3 | 447, 4863 |
| 149, 1621 |
∴ So the LCM of the given numbers is 2 x 3 x 149 x 1621 = 1449174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1449174
Therefore, the GCF of Fractions 7801/894,1469/9726 is 1/1449174
Least Common Multiple of 894,9726 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 894,9726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,9726) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(894,9726) x common factors =6 x 1 = 6
LCM(894,9726) = ( 894 × 9726 ) / 6
LCM(894,9726) = 8695044 / 6
LCM(894,9726) = 1449174
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FAQs on GCF of Fractions of 7801/894, 1469/9726
1. What is the HCF of 7801,1469?
The HCF of 7801,1469 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 7801/894, 1469/9726?
Answer: GCF of Numerators as per given numbers 7801/894, 1469/9726 is
GCF of Numerators i.e. for 7801,1469 is 1
LCM of denominators i.e. for 894,9726 is 1449174.
Thus, GCF of Fractions is 1/1449174.Finally, GCF of Fractions for 7801/894, 1469/9726 is 1/1449174.