GCF of 8696/116, 9802/2808
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8696/116, 9802/2808 i.e 2/81432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8696/116, 9802/2808.
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 8696/116,9802/2808?
Given fractions are 8696/116,9802/2808
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 8696/116,9802/2808, numerators are 8696,9802
Denominators are 116,2808
The GCF of 8696,9802 is 2 .
LCM of 116,2808 is 81432.
The greatest common factor of 8696/116,9802/2808 = [GCF of 8696,9802]/[LCM of 116,2808]= 2/81432
Therefore, the GCF of 8696/116,9802/2808 is 2/81432.
To find the highest common factor of 8696,9802, we have to find the factors of both numbers and list the highest common factor.
The factors of 8696 are 1, 2, 4, 8, 1087, 2174, 4348, 8696
The factors of 9802 are 1, 2, 13, 26, 29, 58, 169, 338, 377, 754, 4901, 9802
The HCF of 8696,9802 is 2.
Lets's calculate GCF of 8696,9802
| 2 | 8696, 9802 |
| 4348, 4901 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8696,9802 By Matching Biggest Common Factor Method
Now, list down the factors of 8696
:1,2,4,8,1087,2174,4348,8696
Now, list down the factors of 9802
:1,2,13,26,29,58,169,338,377,754,4901,9802
Greatest Common Factor
We found the factors 8696,9802 . The biggest common factor number is the GCF number.
So the greatest common factor 8696,9802 is 2.
Lets's calculate LCM of 116,2808
| 2 | 116, 2808 |
| 2 | 58, 1404 |
| 29, 702 |
∴ So the LCM of the given numbers is 2 x 2 x 29 x 702 = 81432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/81432
Therefore, the GCF of Fractions 8696/116,9802/2808 is 2/81432
Least Common Multiple of 116,2808 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 116,2808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,2808) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(116,2808) x common factors =4 x 1 = 4
LCM(116,2808) = ( 116 × 2808 ) / 4
LCM(116,2808) = 325728 / 4
LCM(116,2808) = 81432
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FAQs on GCF of Fractions of 8696/116, 9802/2808
1. What is the HCF of 8696,9802?
The HCF of 8696,9802 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 8696/116, 9802/2808?
Answer: GCF of Numerators as per given numbers 8696/116, 9802/2808 is
GCF of Numerators i.e. for 8696,9802 is 2
LCM of denominators i.e. for 116,2808 is 81432.
Thus, GCF of Fractions is 2/81432.Finally, GCF of Fractions for 8696/116, 9802/2808 is 2/81432.