GCF of 9696/651, 9492/3609
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9696/651, 9492/3609 i.e 12/783153 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9696/651, 9492/3609.
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 9696/651,9492/3609?
Given fractions are 9696/651,9492/3609
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 9696/651,9492/3609, numerators are 9696,9492
Denominators are 651,3609
The GCF of 9696,9492 is 12 .
LCM of 651,3609 is 783153.
The greatest common factor of 9696/651,9492/3609 = [GCF of 9696,9492]/[LCM of 651,3609]= 12/783153
Therefore, the GCF of 9696/651,9492/3609 is 12/783153.
To find the highest common factor of 9696,9492, 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 9492 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 113, 226, 339, 452, 678, 791, 1356, 1582, 2373, 3164, 4746, 9492
The HCF of 9696,9492 is 12.
Lets's calculate GCF of 9696,9492
| 2 | 9696, 9492 |
| 2 | 4848, 4746 |
| 3 | 2424, 2373 |
| 808, 791 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9696,9492 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 9492
:1,2,3,4,6,7,12,14,21,28,42,84,113,226,339,452,678,791,1356,1582,2373,3164,4746,9492
Greatest Common Factor
We found the factors 9696,9492 . The biggest common factor number is the GCF number.
So the greatest common factor 9696,9492 is 12.
Lets's calculate LCM of 651,3609
| 3 | 651, 3609 |
| 217, 1203 |
∴ So the LCM of the given numbers is 3 x 217 x 1203 = 783153
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/783153
Therefore, the GCF of Fractions 9696/651,9492/3609 is 12/783153
Least Common Multiple of 651,3609 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 651,3609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,3609) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(651,3609) x common factors =3 x 1 = 3
LCM(651,3609) = ( 651 × 3609 ) / 3
LCM(651,3609) = 2349459 / 3
LCM(651,3609) = 783153
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FAQs on GCF of Fractions of 9696/651, 9492/3609
1. What is the HCF of 9696,9492?
The HCF of 9696,9492 is 12
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 9696/651, 9492/3609?
Answer: GCF of Numerators as per given numbers 9696/651, 9492/3609 is
GCF of Numerators i.e. for 9696,9492 is 12
LCM of denominators i.e. for 651,3609 is 783153.
Thus, GCF of Fractions is 12/783153.Finally, GCF of Fractions for 9696/651, 9492/3609 is 12/783153.