GCF of 9249/738, 7746/497
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9249/738, 7746/497 i.e 3/366786 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9249/738, 7746/497.
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 9249/738,7746/497?
Given fractions are 9249/738,7746/497
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 9249/738,7746/497, numerators are 9249,7746
Denominators are 738,497
The GCF of 9249,7746 is 3 .
LCM of 738,497 is 366786.
The greatest common factor of 9249/738,7746/497 = [GCF of 9249,7746]/[LCM of 738,497]= 3/366786
Therefore, the GCF of 9249/738,7746/497 is 3/366786.
To find the highest common factor of 9249,7746, we have to find the factors of both numbers and list the highest common factor.
The factors of 9249 are 1, 3, 3083, 9249
The factors of 7746 are 1, 2, 3, 6, 1291, 2582, 3873, 7746
The HCF of 9249,7746 is 3.
Lets's calculate GCF of 9249,7746
| 3 | 9249, 7746 |
| 3083, 2582 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9249,7746 By Matching Biggest Common Factor Method
Now, list down the factors of 9249
:1,3,3083,9249
Now, list down the factors of 7746
:1,2,3,6,1291,2582,3873,7746
Greatest Common Factor
We found the factors 9249,7746 . The biggest common factor number is the GCF number.
So the greatest common factor 9249,7746 is 3.
Lets's calculate LCM of 738,497
Given numbers has no common factors except 1. So, there LCM is their product i.e 366786
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/366786
Therefore, the GCF of Fractions 9249/738,7746/497 is 3/366786
Least Common Multiple of 738,497 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 738,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(738,497) x common factors =1 x 1 = 1
LCM(738,497) = ( 738 × 497 ) / 1
LCM(738,497) = 366786 / 1
LCM(738,497) = 366786
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FAQs on GCF of Fractions of 9249/738, 7746/497
1. What is the HCF of 9249,7746?
The HCF of 9249,7746 is 3
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 9249/738, 7746/497?
Answer: GCF of Numerators as per given numbers 9249/738, 7746/497 is
GCF of Numerators i.e. for 9249,7746 is 3
LCM of denominators i.e. for 738,497 is 366786.
Thus, GCF of Fractions is 3/366786.Finally, GCF of Fractions for 9249/738, 7746/497 is 3/366786.