GCF of 7909/763, 5687/2287
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7909/763, 5687/2287 i.e 11/1744981 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7909/763, 5687/2287.
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 7909/763,5687/2287?
Given fractions are 7909/763,5687/2287
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 7909/763,5687/2287, numerators are 7909,5687
Denominators are 763,2287
The GCF of 7909,5687 is 11 .
LCM of 763,2287 is 1744981.
The greatest common factor of 7909/763,5687/2287 = [GCF of 7909,5687]/[LCM of 763,2287]= 11/1744981
Therefore, the GCF of 7909/763,5687/2287 is 11/1744981.
To find the highest common factor of 7909,5687, we have to find the factors of both numbers and list the highest common factor.
The factors of 7909 are 1, 11, 719, 7909
The factors of 5687 are 1, 11, 47, 121, 517, 5687
The HCF of 7909,5687 is 11.
Lets's calculate GCF of 7909,5687
| 11 | 7909, 5687 |
| 719, 517 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 7909,5687 By Matching Biggest Common Factor Method
Now, list down the factors of 7909
:1,11,719,7909
Now, list down the factors of 5687
:1,11,47,121,517,5687
Greatest Common Factor
We found the factors 7909,5687 . The biggest common factor number is the GCF number.
So the greatest common factor 7909,5687 is 11.
Lets's calculate LCM of 763,2287
Given numbers has no common factors except 1. So, there LCM is their product i.e 1744981
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1744981
Therefore, the GCF of Fractions 7909/763,5687/2287 is 11/1744981
Least Common Multiple of 763,2287 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 763,2287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,2287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(763,2287) x common factors =1 x 1 = 1
LCM(763,2287) = ( 763 × 2287 ) / 1
LCM(763,2287) = 1744981 / 1
LCM(763,2287) = 1744981
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FAQs on GCF of Fractions of 7909/763, 5687/2287
1. What is the HCF of 7909,5687?
The HCF of 7909,5687 is 11
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 7909/763, 5687/2287?
Answer: GCF of Numerators as per given numbers 7909/763, 5687/2287 is
GCF of Numerators i.e. for 7909,5687 is 11
LCM of denominators i.e. for 763,2287 is 1744981.
Thus, GCF of Fractions is 11/1744981.Finally, GCF of Fractions for 7909/763, 5687/2287 is 11/1744981.