GCF of 7996/768, 8001/9160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7996/768, 8001/9160 i.e 1/879360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7996/768, 8001/9160.
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 7996/768,8001/9160?
Given fractions are 7996/768,8001/9160
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 7996/768,8001/9160, numerators are 7996,8001
Denominators are 768,9160
The GCF of 7996,8001 is 1 .
LCM of 768,9160 is 879360.
The greatest common factor of 7996/768,8001/9160 = [GCF of 7996,8001]/[LCM of 768,9160]= 1/879360
Therefore, the GCF of 7996/768,8001/9160 is 1/879360.
To find the highest common factor of 7996,8001, 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 8001 are 1, 3, 7, 9, 21, 63, 127, 381, 889, 1143, 2667, 8001
The HCF of 7996,8001 is 1.
Lets's calculate GCF of 7996,8001
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7996,8001 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 8001
:1,3,7,9,21,63,127,381,889,1143,2667,8001
Greatest Common Factor
We found the factors 7996,8001 . The biggest common factor number is the GCF number.
So the greatest common factor 7996,8001 is 1.
Lets's calculate LCM of 768,9160
| 2 | 768, 9160 |
| 2 | 384, 4580 |
| 2 | 192, 2290 |
| 96, 1145 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 96 x 1145 = 879360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/879360
Therefore, the GCF of Fractions 7996/768,8001/9160 is 1/879360
Least Common Multiple of 768,9160 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 768,9160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,9160) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(768,9160) x common factors =8 x 1 = 8
LCM(768,9160) = ( 768 × 9160 ) / 8
LCM(768,9160) = 7034880 / 8
LCM(768,9160) = 879360
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FAQs on GCF of Fractions of 7996/768, 8001/9160
1. What is the HCF of 7996,8001?
The HCF of 7996,8001 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 7996/768, 8001/9160?
Answer: GCF of Numerators as per given numbers 7996/768, 8001/9160 is
GCF of Numerators i.e. for 7996,8001 is 1
LCM of denominators i.e. for 768,9160 is 879360.
Thus, GCF of Fractions is 1/879360.Finally, GCF of Fractions for 7996/768, 8001/9160 is 1/879360.