GCF of 2397/548, 9384/9513
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2397/548, 9384/9513 i.e 51/5213124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2397/548, 9384/9513.
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 2397/548,9384/9513?
Given fractions are 2397/548,9384/9513
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 2397/548,9384/9513, numerators are 2397,9384
Denominators are 548,9513
The GCF of 2397,9384 is 51 .
LCM of 548,9513 is 5213124.
The greatest common factor of 2397/548,9384/9513 = [GCF of 2397,9384]/[LCM of 548,9513]= 51/5213124
Therefore, the GCF of 2397/548,9384/9513 is 51/5213124.
To find the highest common factor of 2397,9384, we have to find the factors of both numbers and list the highest common factor.
The factors of 2397 are 1, 3, 17, 47, 51, 141, 799, 2397
The factors of 9384 are 1, 2, 3, 4, 6, 8, 12, 17, 23, 24, 34, 46, 51, 68, 69, 92, 102, 136, 138, 184, 204, 276, 391, 408, 552, 782, 1173, 1564, 2346, 3128, 4692, 9384
The HCF of 2397,9384 is 51.
Lets's calculate GCF of 2397,9384
| 3 | 2397, 9384 |
| 17 | 799, 3128 |
| 47, 184 |
∴ So the GCF of the given numbers is 3 x 17 = 51
Greatest Common Factor of 2397,9384 By Matching Biggest Common Factor Method
Now, list down the factors of 2397
:1,3,17,47,51,141,799,2397
Now, list down the factors of 9384
:1,2,3,4,6,8,12,17,23,24,34,46,51,68,69,92,102,136,138,184,204,276,391,408,552,782,1173,1564,2346,3128,4692,9384
Greatest Common Factor
We found the factors 2397,9384 . The biggest common factor number is the GCF number.
So the greatest common factor 2397,9384 is 51.
Lets's calculate LCM of 548,9513
Given numbers has no common factors except 1. So, there LCM is their product i.e 5213124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 51/5213124
Therefore, the GCF of Fractions 2397/548,9384/9513 is 51/5213124
Least Common Multiple of 548,9513 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 548,9513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,9513) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(548,9513) x common factors =1 x 1 = 1
LCM(548,9513) = ( 548 × 9513 ) / 1
LCM(548,9513) = 5213124 / 1
LCM(548,9513) = 5213124
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FAQs on GCF of Fractions of 2397/548, 9384/9513
1. What is the HCF of 2397,9384?
The HCF of 2397,9384 is 51
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 2397/548, 9384/9513?
Answer: GCF of Numerators as per given numbers 2397/548, 9384/9513 is
GCF of Numerators i.e. for 2397,9384 is 51
LCM of denominators i.e. for 548,9513 is 5213124.
Thus, GCF of Fractions is 51/5213124.Finally, GCF of Fractions for 2397/548, 9384/9513 is 51/5213124.