GCF of 9247/782, 4727/161
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9247/782, 4727/161 i.e 1/5474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9247/782, 4727/161.
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 9247/782,4727/161?
Given fractions are 9247/782,4727/161
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 9247/782,4727/161, numerators are 9247,4727
Denominators are 782,161
The GCF of 9247,4727 is 1 .
LCM of 782,161 is 5474.
The greatest common factor of 9247/782,4727/161 = [GCF of 9247,4727]/[LCM of 782,161]= 1/5474
Therefore, the GCF of 9247/782,4727/161 is 1/5474.
To find the highest common factor of 9247,4727, we have to find the factors of both numbers and list the highest common factor.
The factors of 9247 are 1, 7, 1321, 9247
The factors of 4727 are 1, 29, 163, 4727
The HCF of 9247,4727 is 1.
Lets's calculate GCF of 9247,4727
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9247,4727 By Matching Biggest Common Factor Method
Now, list down the factors of 9247
:1,7,1321,9247
Now, list down the factors of 4727
:1,29,163,4727
Greatest Common Factor
We found the factors 9247,4727 . The biggest common factor number is the GCF number.
So the greatest common factor 9247,4727 is 1.
Lets's calculate LCM of 782,161
| 23 | 782, 161 |
| 34, 7 |
∴ So the LCM of the given numbers is 23 x 34 x 7 = 5474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5474
Therefore, the GCF of Fractions 9247/782,4727/161 is 1/5474
Least Common Multiple of 782,161 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 782,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,161) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(782,161) x common factors =23 x 1 = 23
LCM(782,161) = ( 782 × 161 ) / 23
LCM(782,161) = 125902 / 23
LCM(782,161) = 5474
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FAQs on GCF of Fractions of 9247/782, 4727/161
1. What is the HCF of 9247,4727?
The HCF of 9247,4727 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 9247/782, 4727/161?
Answer: GCF of Numerators as per given numbers 9247/782, 4727/161 is
GCF of Numerators i.e. for 9247,4727 is 1
LCM of denominators i.e. for 782,161 is 5474.
Thus, GCF of Fractions is 1/5474.Finally, GCF of Fractions for 9247/782, 4727/161 is 1/5474.