GCF of 9783/154, 9716/9823
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9783/154, 9716/9823 i.e 1/137522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9783/154, 9716/9823.
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 9783/154,9716/9823?
Given fractions are 9783/154,9716/9823
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 9783/154,9716/9823, numerators are 9783,9716
Denominators are 154,9823
The GCF of 9783,9716 is 1 .
LCM of 154,9823 is 137522.
The greatest common factor of 9783/154,9716/9823 = [GCF of 9783,9716]/[LCM of 154,9823]= 1/137522
Therefore, the GCF of 9783/154,9716/9823 is 1/137522.
To find the highest common factor of 9783,9716, we have to find the factors of both numbers and list the highest common factor.
The factors of 9783 are 1, 3, 9, 1087, 3261, 9783
The factors of 9716 are 1, 2, 4, 7, 14, 28, 347, 694, 1388, 2429, 4858, 9716
The HCF of 9783,9716 is 1.
Lets's calculate GCF of 9783,9716
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9783,9716 By Matching Biggest Common Factor Method
Now, list down the factors of 9783
:1,3,9,1087,3261,9783
Now, list down the factors of 9716
:1,2,4,7,14,28,347,694,1388,2429,4858,9716
Greatest Common Factor
We found the factors 9783,9716 . The biggest common factor number is the GCF number.
So the greatest common factor 9783,9716 is 1.
Lets's calculate LCM of 154,9823
| 11 | 154, 9823 |
| 14, 893 |
∴ So the LCM of the given numbers is 11 x 14 x 893 = 137522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/137522
Therefore, the GCF of Fractions 9783/154,9716/9823 is 1/137522
Least Common Multiple of 154,9823 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 154,9823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,9823) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(154,9823) x common factors =11 x 1 = 11
LCM(154,9823) = ( 154 × 9823 ) / 11
LCM(154,9823) = 1512742 / 11
LCM(154,9823) = 137522
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FAQs on GCF of Fractions of 9783/154, 9716/9823
1. What is the HCF of 9783,9716?
The HCF of 9783,9716 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 9783/154, 9716/9823?
Answer: GCF of Numerators as per given numbers 9783/154, 9716/9823 is
GCF of Numerators i.e. for 9783,9716 is 1
LCM of denominators i.e. for 154,9823 is 137522.
Thus, GCF of Fractions is 1/137522.Finally, GCF of Fractions for 9783/154, 9716/9823 is 1/137522.