GCF of 8647/355, 9783/840
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8647/355, 9783/840 i.e 1/59640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8647/355, 9783/840.
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 8647/355,9783/840?
Given fractions are 8647/355,9783/840
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 8647/355,9783/840, numerators are 8647,9783
Denominators are 355,840
The GCF of 8647,9783 is 1 .
LCM of 355,840 is 59640.
The greatest common factor of 8647/355,9783/840 = [GCF of 8647,9783]/[LCM of 355,840]= 1/59640
Therefore, the GCF of 8647/355,9783/840 is 1/59640.
To find the highest common factor of 8647,9783, we have to find the factors of both numbers and list the highest common factor.
The factors of 8647 are 1, 8647
The factors of 9783 are 1, 3, 9, 1087, 3261, 9783
The HCF of 8647,9783 is 1.
Lets's calculate GCF of 8647,9783
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8647,9783 By Matching Biggest Common Factor Method
Now, list down the factors of 8647
:1,8647
Now, list down the factors of 9783
:1,3,9,1087,3261,9783
Greatest Common Factor
We found the factors 8647,9783 . The biggest common factor number is the GCF number.
So the greatest common factor 8647,9783 is 1.
Lets's calculate LCM of 355,840
| 5 | 355, 840 |
| 71, 168 |
∴ So the LCM of the given numbers is 5 x 71 x 168 = 59640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59640
Therefore, the GCF of Fractions 8647/355,9783/840 is 1/59640
Least Common Multiple of 355,840 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 355,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(355,840) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(355,840) x common factors =5 x 1 = 5
LCM(355,840) = ( 355 × 840 ) / 5
LCM(355,840) = 298200 / 5
LCM(355,840) = 59640
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FAQs on GCF of Fractions of 8647/355, 9783/840
1. What is the HCF of 8647,9783?
The HCF of 8647,9783 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 8647/355, 9783/840?
Answer: GCF of Numerators as per given numbers 8647/355, 9783/840 is
GCF of Numerators i.e. for 8647,9783 is 1
LCM of denominators i.e. for 355,840 is 59640.
Thus, GCF of Fractions is 1/59640.Finally, GCF of Fractions for 8647/355, 9783/840 is 1/59640.