GCF of 9696/285, 7498/369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9696/285, 7498/369 i.e 2/35055 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9696/285, 7498/369.
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 9696/285,7498/369?
Given fractions are 9696/285,7498/369
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 9696/285,7498/369, numerators are 9696,7498
Denominators are 285,369
The GCF of 9696,7498 is 2 .
LCM of 285,369 is 35055.
The greatest common factor of 9696/285,7498/369 = [GCF of 9696,7498]/[LCM of 285,369]= 2/35055
Therefore, the GCF of 9696/285,7498/369 is 2/35055.
To find the highest common factor of 9696,7498, we have to find the factors of both numbers and list the highest common factor.
The factors of 9696 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 101, 202, 303, 404, 606, 808, 1212, 1616, 2424, 3232, 4848, 9696
The factors of 7498 are 1, 2, 23, 46, 163, 326, 3749, 7498
The HCF of 9696,7498 is 2.
Lets's calculate GCF of 9696,7498
| 2 | 9696, 7498 |
| 4848, 3749 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9696,7498 By Matching Biggest Common Factor Method
Now, list down the factors of 9696
:1,2,3,4,6,8,12,16,24,32,48,96,101,202,303,404,606,808,1212,1616,2424,3232,4848,9696
Now, list down the factors of 7498
:1,2,23,46,163,326,3749,7498
Greatest Common Factor
We found the factors 9696,7498 . The biggest common factor number is the GCF number.
So the greatest common factor 9696,7498 is 2.
Lets's calculate LCM of 285,369
| 3 | 285, 369 |
| 95, 123 |
∴ So the LCM of the given numbers is 3 x 95 x 123 = 35055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35055
Therefore, the GCF of Fractions 9696/285,7498/369 is 2/35055
Least Common Multiple of 285,369 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 285,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,369) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(285,369) x common factors =3 x 1 = 3
LCM(285,369) = ( 285 × 369 ) / 3
LCM(285,369) = 105165 / 3
LCM(285,369) = 35055
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FAQs on GCF of Fractions of 9696/285, 7498/369
1. What is the HCF of 9696,7498?
The HCF of 9696,7498 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 9696/285, 7498/369?
Answer: GCF of Numerators as per given numbers 9696/285, 7498/369 is
GCF of Numerators i.e. for 9696,7498 is 2
LCM of denominators i.e. for 285,369 is 35055.
Thus, GCF of Fractions is 2/35055.Finally, GCF of Fractions for 9696/285, 7498/369 is 2/35055.