GCF of 6982/240, 9285/7254
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6982/240, 9285/7254 i.e 1/290160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6982/240, 9285/7254.
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 6982/240,9285/7254?
Given fractions are 6982/240,9285/7254
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 6982/240,9285/7254, numerators are 6982,9285
Denominators are 240,7254
The GCF of 6982,9285 is 1 .
LCM of 240,7254 is 290160.
The greatest common factor of 6982/240,9285/7254 = [GCF of 6982,9285]/[LCM of 240,7254]= 1/290160
Therefore, the GCF of 6982/240,9285/7254 is 1/290160.
To find the highest common factor of 6982,9285, we have to find the factors of both numbers and list the highest common factor.
The factors of 6982 are 1, 2, 3491, 6982
The factors of 9285 are 1, 3, 5, 15, 619, 1857, 3095, 9285
The HCF of 6982,9285 is 1.
Lets's calculate GCF of 6982,9285
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6982,9285 By Matching Biggest Common Factor Method
Now, list down the factors of 6982
:1,2,3491,6982
Now, list down the factors of 9285
:1,3,5,15,619,1857,3095,9285
Greatest Common Factor
We found the factors 6982,9285 . The biggest common factor number is the GCF number.
So the greatest common factor 6982,9285 is 1.
Lets's calculate LCM of 240,7254
| 2 | 240, 7254 |
| 3 | 120, 3627 |
| 40, 1209 |
∴ So the LCM of the given numbers is 2 x 3 x 40 x 1209 = 290160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/290160
Therefore, the GCF of Fractions 6982/240,9285/7254 is 1/290160
Least Common Multiple of 240,7254 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 240,7254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,7254) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(240,7254) x common factors =6 x 1 = 6
LCM(240,7254) = ( 240 × 7254 ) / 6
LCM(240,7254) = 1740960 / 6
LCM(240,7254) = 290160
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FAQs on GCF of Fractions of 6982/240, 9285/7254
1. What is the HCF of 6982,9285?
The HCF of 6982,9285 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 6982/240, 9285/7254?
Answer: GCF of Numerators as per given numbers 6982/240, 9285/7254 is
GCF of Numerators i.e. for 6982,9285 is 1
LCM of denominators i.e. for 240,7254 is 290160.
Thus, GCF of Fractions is 1/290160.Finally, GCF of Fractions for 6982/240, 9285/7254 is 1/290160.