GCF of 7911/763, 3485/411
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7911/763, 3485/411 i.e 1/313593 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7911/763, 3485/411.
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 7911/763,3485/411?
Given fractions are 7911/763,3485/411
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 7911/763,3485/411, numerators are 7911,3485
Denominators are 763,411
The GCF of 7911,3485 is 1 .
LCM of 763,411 is 313593.
The greatest common factor of 7911/763,3485/411 = [GCF of 7911,3485]/[LCM of 763,411]= 1/313593
Therefore, the GCF of 7911/763,3485/411 is 1/313593.
To find the highest common factor of 7911,3485, we have to find the factors of both numbers and list the highest common factor.
The factors of 7911 are 1, 3, 9, 27, 293, 879, 2637, 7911
The factors of 3485 are 1, 5, 17, 41, 85, 205, 697, 3485
The HCF of 7911,3485 is 1.
Lets's calculate GCF of 7911,3485
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7911,3485 By Matching Biggest Common Factor Method
Now, list down the factors of 7911
:1,3,9,27,293,879,2637,7911
Now, list down the factors of 3485
:1,5,17,41,85,205,697,3485
Greatest Common Factor
We found the factors 7911,3485 . The biggest common factor number is the GCF number.
So the greatest common factor 7911,3485 is 1.
Lets's calculate LCM of 763,411
Given numbers has no common factors except 1. So, there LCM is their product i.e 313593
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/313593
Therefore, the GCF of Fractions 7911/763,3485/411 is 1/313593
Least Common Multiple of 763,411 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 763,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,411) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(763,411) x common factors =1 x 1 = 1
LCM(763,411) = ( 763 × 411 ) / 1
LCM(763,411) = 313593 / 1
LCM(763,411) = 313593
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7911/763, 3485/411
1. What is the HCF of 7911,3485?
The HCF of 7911,3485 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 7911/763, 3485/411?
Answer: GCF of Numerators as per given numbers 7911/763, 3485/411 is
GCF of Numerators i.e. for 7911,3485 is 1
LCM of denominators i.e. for 763,411 is 313593.
Thus, GCF of Fractions is 1/313593.Finally, GCF of Fractions for 7911/763, 3485/411 is 1/313593.