GCF of 7879/868, 9665/8326
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7879/868, 9665/8326 i.e 1/3613484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7879/868, 9665/8326.
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 7879/868,9665/8326?
Given fractions are 7879/868,9665/8326
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 7879/868,9665/8326, numerators are 7879,9665
Denominators are 868,8326
The GCF of 7879,9665 is 1 .
LCM of 868,8326 is 3613484.
The greatest common factor of 7879/868,9665/8326 = [GCF of 7879,9665]/[LCM of 868,8326]= 1/3613484
Therefore, the GCF of 7879/868,9665/8326 is 1/3613484.
To find the highest common factor of 7879,9665, we have to find the factors of both numbers and list the highest common factor.
The factors of 7879 are 1, 7879
The factors of 9665 are 1, 5, 1933, 9665
The HCF of 7879,9665 is 1.
Lets's calculate GCF of 7879,9665
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7879,9665 By Matching Biggest Common Factor Method
Now, list down the factors of 7879
:1,7879
Now, list down the factors of 9665
:1,5,1933,9665
Greatest Common Factor
We found the factors 7879,9665 . The biggest common factor number is the GCF number.
So the greatest common factor 7879,9665 is 1.
Lets's calculate LCM of 868,8326
| 2 | 868, 8326 |
| 434, 4163 |
∴ So the LCM of the given numbers is 2 x 434 x 4163 = 3613484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3613484
Therefore, the GCF of Fractions 7879/868,9665/8326 is 1/3613484
Least Common Multiple of 868,8326 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 868,8326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(868,8326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(868,8326) x common factors =2 x 1 = 2
LCM(868,8326) = ( 868 × 8326 ) / 2
LCM(868,8326) = 7226968 / 2
LCM(868,8326) = 3613484
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FAQs on GCF of Fractions of 7879/868, 9665/8326
1. What is the HCF of 7879,9665?
The HCF of 7879,9665 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 7879/868, 9665/8326?
Answer: GCF of Numerators as per given numbers 7879/868, 9665/8326 is
GCF of Numerators i.e. for 7879,9665 is 1
LCM of denominators i.e. for 868,8326 is 3613484.
Thus, GCF of Fractions is 1/3613484.Finally, GCF of Fractions for 7879/868, 9665/8326 is 1/3613484.