GCF of 7878/765, 8518/4014
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7878/765, 8518/4014 i.e 2/341190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7878/765, 8518/4014.
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 7878/765,8518/4014?
Given fractions are 7878/765,8518/4014
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 7878/765,8518/4014, numerators are 7878,8518
Denominators are 765,4014
The GCF of 7878,8518 is 2 .
LCM of 765,4014 is 341190.
The greatest common factor of 7878/765,8518/4014 = [GCF of 7878,8518]/[LCM of 765,4014]= 2/341190
Therefore, the GCF of 7878/765,8518/4014 is 2/341190.
To find the highest common factor of 7878,8518, we have to find the factors of both numbers and list the highest common factor.
The factors of 7878 are 1, 2, 3, 6, 13, 26, 39, 78, 101, 202, 303, 606, 1313, 2626, 3939, 7878
The factors of 8518 are 1, 2, 4259, 8518
The HCF of 7878,8518 is 2.
Lets's calculate GCF of 7878,8518
| 2 | 7878, 8518 |
| 3939, 4259 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7878,8518 By Matching Biggest Common Factor Method
Now, list down the factors of 7878
:1,2,3,6,13,26,39,78,101,202,303,606,1313,2626,3939,7878
Now, list down the factors of 8518
:1,2,4259,8518
Greatest Common Factor
We found the factors 7878,8518 . The biggest common factor number is the GCF number.
So the greatest common factor 7878,8518 is 2.
Lets's calculate LCM of 765,4014
| 3 | 765, 4014 |
| 3 | 255, 1338 |
| 85, 446 |
∴ So the LCM of the given numbers is 3 x 3 x 85 x 446 = 341190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/341190
Therefore, the GCF of Fractions 7878/765,8518/4014 is 2/341190
Least Common Multiple of 765,4014 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 765,4014 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,4014) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(765,4014) x common factors =9 x 1 = 9
LCM(765,4014) = ( 765 × 4014 ) / 9
LCM(765,4014) = 3070710 / 9
LCM(765,4014) = 341190
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FAQs on GCF of Fractions of 7878/765, 8518/4014
1. What is the HCF of 7878,8518?
The HCF of 7878,8518 is 2
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 7878/765, 8518/4014?
Answer: GCF of Numerators as per given numbers 7878/765, 8518/4014 is
GCF of Numerators i.e. for 7878,8518 is 2
LCM of denominators i.e. for 765,4014 is 341190.
Thus, GCF of Fractions is 2/341190.Finally, GCF of Fractions for 7878/765, 8518/4014 is 2/341190.