GCF of 9294/924, 1513/9144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9294/924, 1513/9144 i.e 1/704088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9294/924, 1513/9144.
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 9294/924,1513/9144?
Given fractions are 9294/924,1513/9144
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 9294/924,1513/9144, numerators are 9294,1513
Denominators are 924,9144
The GCF of 9294,1513 is 1 .
LCM of 924,9144 is 704088.
The greatest common factor of 9294/924,1513/9144 = [GCF of 9294,1513]/[LCM of 924,9144]= 1/704088
Therefore, the GCF of 9294/924,1513/9144 is 1/704088.
To find the highest common factor of 9294,1513, we have to find the factors of both numbers and list the highest common factor.
The factors of 9294 are 1, 2, 3, 6, 1549, 3098, 4647, 9294
The factors of 1513 are 1, 17, 89, 1513
The HCF of 9294,1513 is 1.
Lets's calculate GCF of 9294,1513
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9294,1513 By Matching Biggest Common Factor Method
Now, list down the factors of 9294
:1,2,3,6,1549,3098,4647,9294
Now, list down the factors of 1513
:1,17,89,1513
Greatest Common Factor
We found the factors 9294,1513 . The biggest common factor number is the GCF number.
So the greatest common factor 9294,1513 is 1.
Lets's calculate LCM of 924,9144
| 2 | 924, 9144 |
| 2 | 462, 4572 |
| 3 | 231, 2286 |
| 77, 762 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 77 x 762 = 704088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/704088
Therefore, the GCF of Fractions 9294/924,1513/9144 is 1/704088
Least Common Multiple of 924,9144 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 924,9144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,9144) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(924,9144) x common factors =12 x 1 = 12
LCM(924,9144) = ( 924 × 9144 ) / 12
LCM(924,9144) = 8449056 / 12
LCM(924,9144) = 704088
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FAQs on GCF of Fractions of 9294/924, 1513/9144
1. What is the HCF of 9294,1513?
The HCF of 9294,1513 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 9294/924, 1513/9144?
Answer: GCF of Numerators as per given numbers 9294/924, 1513/9144 is
GCF of Numerators i.e. for 9294,1513 is 1
LCM of denominators i.e. for 924,9144 is 704088.
Thus, GCF of Fractions is 1/704088.Finally, GCF of Fractions for 9294/924, 1513/9144 is 1/704088.