GCF of 9708/309, 3624/272
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9708/309, 3624/272 i.e 12/84048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9708/309, 3624/272.
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 9708/309,3624/272?
Given fractions are 9708/309,3624/272
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 9708/309,3624/272, numerators are 9708,3624
Denominators are 309,272
The GCF of 9708,3624 is 12 .
LCM of 309,272 is 84048.
The greatest common factor of 9708/309,3624/272 = [GCF of 9708,3624]/[LCM of 309,272]= 12/84048
Therefore, the GCF of 9708/309,3624/272 is 12/84048.
To find the highest common factor of 9708,3624, we have to find the factors of both numbers and list the highest common factor.
The factors of 9708 are 1, 2, 3, 4, 6, 12, 809, 1618, 2427, 3236, 4854, 9708
The factors of 3624 are 1, 2, 3, 4, 6, 8, 12, 24, 151, 302, 453, 604, 906, 1208, 1812, 3624
The HCF of 9708,3624 is 12.
Lets's calculate GCF of 9708,3624
| 2 | 9708, 3624 |
| 2 | 4854, 1812 |
| 3 | 2427, 906 |
| 809, 302 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9708,3624 By Matching Biggest Common Factor Method
Now, list down the factors of 9708
:1,2,3,4,6,12,809,1618,2427,3236,4854,9708
Now, list down the factors of 3624
:1,2,3,4,6,8,12,24,151,302,453,604,906,1208,1812,3624
Greatest Common Factor
We found the factors 9708,3624 . The biggest common factor number is the GCF number.
So the greatest common factor 9708,3624 is 12.
Lets's calculate LCM of 309,272
Given numbers has no common factors except 1. So, there LCM is their product i.e 84048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/84048
Therefore, the GCF of Fractions 9708/309,3624/272 is 12/84048
Least Common Multiple of 309,272 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 309,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,272) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(309,272) x common factors =1 x 1 = 1
LCM(309,272) = ( 309 × 272 ) / 1
LCM(309,272) = 84048 / 1
LCM(309,272) = 84048
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FAQs on GCF of Fractions of 9708/309, 3624/272
1. What is the HCF of 9708,3624?
The HCF of 9708,3624 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 9708/309, 3624/272?
Answer: GCF of Numerators as per given numbers 9708/309, 3624/272 is
GCF of Numerators i.e. for 9708,3624 is 12
LCM of denominators i.e. for 309,272 is 84048.
Thus, GCF of Fractions is 12/84048.Finally, GCF of Fractions for 9708/309, 3624/272 is 12/84048.