GCF of 7996/450, 9647/7401
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7996/450, 9647/7401 i.e 1/1110150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7996/450, 9647/7401.
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 7996/450,9647/7401?
Given fractions are 7996/450,9647/7401
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 7996/450,9647/7401, numerators are 7996,9647
Denominators are 450,7401
The GCF of 7996,9647 is 1 .
LCM of 450,7401 is 1110150.
The greatest common factor of 7996/450,9647/7401 = [GCF of 7996,9647]/[LCM of 450,7401]= 1/1110150
Therefore, the GCF of 7996/450,9647/7401 is 1/1110150.
To find the highest common factor of 7996,9647, we have to find the factors of both numbers and list the highest common factor.
The factors of 7996 are 1, 2, 4, 1999, 3998, 7996
The factors of 9647 are 1, 11, 877, 9647
The HCF of 7996,9647 is 1.
Lets's calculate GCF of 7996,9647
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7996,9647 By Matching Biggest Common Factor Method
Now, list down the factors of 7996
:1,2,4,1999,3998,7996
Now, list down the factors of 9647
:1,11,877,9647
Greatest Common Factor
We found the factors 7996,9647 . The biggest common factor number is the GCF number.
So the greatest common factor 7996,9647 is 1.
Lets's calculate LCM of 450,7401
| 3 | 450, 7401 |
| 150, 2467 |
∴ So the LCM of the given numbers is 3 x 150 x 2467 = 1110150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1110150
Therefore, the GCF of Fractions 7996/450,9647/7401 is 1/1110150
Least Common Multiple of 450,7401 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 450,7401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,7401) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(450,7401) x common factors =3 x 1 = 3
LCM(450,7401) = ( 450 × 7401 ) / 3
LCM(450,7401) = 3330450 / 3
LCM(450,7401) = 1110150
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FAQs on GCF of Fractions of 7996/450, 9647/7401
1. What is the HCF of 7996,9647?
The HCF of 7996,9647 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 7996/450, 9647/7401?
Answer: GCF of Numerators as per given numbers 7996/450, 9647/7401 is
GCF of Numerators i.e. for 7996,9647 is 1
LCM of denominators i.e. for 450,7401 is 1110150.
Thus, GCF of Fractions is 1/1110150.Finally, GCF of Fractions for 7996/450, 9647/7401 is 1/1110150.