GCF of 791/40, 298/1280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 791/40, 298/1280 i.e 1/1280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 791/40, 298/1280.
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 791/40,298/1280?
Given fractions are 791/40,298/1280
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 791/40,298/1280, numerators are 791,298
Denominators are 40,1280
The GCF of 791,298 is 1 .
LCM of 40,1280 is 1280.
The greatest common factor of 791/40,298/1280 = [GCF of 791,298]/[LCM of 40,1280]= 1/1280
Therefore, the GCF of 791/40,298/1280 is 1/1280.
To find the highest common factor of 791,298, we have to find the factors of both numbers and list the highest common factor.
The factors of 791 are 1, 7, 113, 791
The factors of 298 are 1, 2, 149, 298
The HCF of 791,298 is 1.
Lets's calculate GCF of 791,298
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 791,298 By Matching Biggest Common Factor Method
Now, list down the factors of 791
:1,7,113,791
Now, list down the factors of 298
:1,2,149,298
Greatest Common Factor
We found the factors 791,298 . The biggest common factor number is the GCF number.
So the greatest common factor 791,298 is 1.
Lets's calculate LCM of 40,1280
| 2 | 40, 1280 |
| 2 | 20, 640 |
| 2 | 10, 320 |
| 5 | 5, 160 |
| 1, 32 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 32 = 1280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1280
Therefore, the GCF of Fractions 791/40,298/1280 is 1/1280
Least Common Multiple of 40,1280 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 40,1280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,1280) = 40
common factors(in case of two or more numbers have common factors) = 1
GCF(40,1280) x common factors =40 x 1 = 40
LCM(40,1280) = ( 40 × 1280 ) / 40
LCM(40,1280) = 51200 / 40
LCM(40,1280) = 1280
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FAQs on GCF of Fractions of 791/40, 298/1280
1. What is the HCF of 791,298?
The HCF of 791,298 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 791/40, 298/1280?
Answer: GCF of Numerators as per given numbers 791/40, 298/1280 is
GCF of Numerators i.e. for 791,298 is 1
LCM of denominators i.e. for 40,1280 is 1280.
Thus, GCF of Fractions is 1/1280.Finally, GCF of Fractions for 791/40, 298/1280 is 1/1280.