GCF of 9483/924, 9628/9919
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9483/924, 9628/9919 i.e 29/1309308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9483/924, 9628/9919.
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 9483/924,9628/9919?
Given fractions are 9483/924,9628/9919
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 9483/924,9628/9919, numerators are 9483,9628
Denominators are 924,9919
The GCF of 9483,9628 is 29 .
LCM of 924,9919 is 1309308.
The greatest common factor of 9483/924,9628/9919 = [GCF of 9483,9628]/[LCM of 924,9919]= 29/1309308
Therefore, the GCF of 9483/924,9628/9919 is 29/1309308.
To find the highest common factor of 9483,9628, we have to find the factors of both numbers and list the highest common factor.
The factors of 9483 are 1, 3, 29, 87, 109, 327, 3161, 9483
The factors of 9628 are 1, 2, 4, 29, 58, 83, 116, 166, 332, 2407, 4814, 9628
The HCF of 9483,9628 is 29.
Lets's calculate GCF of 9483,9628
| 29 | 9483, 9628 |
| 327, 332 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 9483,9628 By Matching Biggest Common Factor Method
Now, list down the factors of 9483
:1,3,29,87,109,327,3161,9483
Now, list down the factors of 9628
:1,2,4,29,58,83,116,166,332,2407,4814,9628
Greatest Common Factor
We found the factors 9483,9628 . The biggest common factor number is the GCF number.
So the greatest common factor 9483,9628 is 29.
Lets's calculate LCM of 924,9919
| 7 | 924, 9919 |
| 132, 1417 |
∴ So the LCM of the given numbers is 7 x 132 x 1417 = 1309308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/1309308
Therefore, the GCF of Fractions 9483/924,9628/9919 is 29/1309308
Least Common Multiple of 924,9919 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 924,9919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,9919) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(924,9919) x common factors =7 x 1 = 7
LCM(924,9919) = ( 924 × 9919 ) / 7
LCM(924,9919) = 9165156 / 7
LCM(924,9919) = 1309308
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FAQs on GCF of Fractions of 9483/924, 9628/9919
1. What is the HCF of 9483,9628?
The HCF of 9483,9628 is 29
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 9483/924, 9628/9919?
Answer: GCF of Numerators as per given numbers 9483/924, 9628/9919 is
GCF of Numerators i.e. for 9483,9628 is 29
LCM of denominators i.e. for 924,9919 is 1309308.
Thus, GCF of Fractions is 29/1309308.Finally, GCF of Fractions for 9483/924, 9628/9919 is 29/1309308.