GCF of 495/730, 8956/978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 495/730, 8956/978 i.e 1/356970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 495/730, 8956/978.
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 495/730,8956/978?
Given fractions are 495/730,8956/978
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 495/730,8956/978, numerators are 495,8956
Denominators are 730,978
The GCF of 495,8956 is 1 .
LCM of 730,978 is 356970.
The greatest common factor of 495/730,8956/978 = [GCF of 495,8956]/[LCM of 730,978]= 1/356970
Therefore, the GCF of 495/730,8956/978 is 1/356970.
To find the highest common factor of 495,8956, we have to find the factors of both numbers and list the highest common factor.
The factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
The factors of 8956 are 1, 2, 4, 2239, 4478, 8956
The HCF of 495,8956 is 1.
Lets's calculate GCF of 495,8956
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 495,8956 By Matching Biggest Common Factor Method
Now, list down the factors of 495
:1,3,5,9,11,15,33,45,55,99,165,495
Now, list down the factors of 8956
:1,2,4,2239,4478,8956
Greatest Common Factor
We found the factors 495,8956 . The biggest common factor number is the GCF number.
So the greatest common factor 495,8956 is 1.
Lets's calculate LCM of 730,978
| 2 | 730, 978 |
| 365, 489 |
∴ So the LCM of the given numbers is 2 x 365 x 489 = 356970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/356970
Therefore, the GCF of Fractions 495/730,8956/978 is 1/356970
Least Common Multiple of 730,978 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 730,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(730,978) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(730,978) x common factors =2 x 1 = 2
LCM(730,978) = ( 730 × 978 ) / 2
LCM(730,978) = 713940 / 2
LCM(730,978) = 356970
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FAQs on GCF of Fractions of 495/730, 8956/978
1. What is the HCF of 495,8956?
The HCF of 495,8956 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 495/730, 8956/978?
Answer: GCF of Numerators as per given numbers 495/730, 8956/978 is
GCF of Numerators i.e. for 495,8956 is 1
LCM of denominators i.e. for 730,978 is 356970.
Thus, GCF of Fractions is 1/356970.Finally, GCF of Fractions for 495/730, 8956/978 is 1/356970.