GCF of 2352/387, 8582/3396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2352/387, 8582/3396 i.e 14/438084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2352/387, 8582/3396.
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 2352/387,8582/3396?
Given fractions are 2352/387,8582/3396
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 2352/387,8582/3396, numerators are 2352,8582
Denominators are 387,3396
The GCF of 2352,8582 is 14 .
LCM of 387,3396 is 438084.
The greatest common factor of 2352/387,8582/3396 = [GCF of 2352,8582]/[LCM of 387,3396]= 14/438084
Therefore, the GCF of 2352/387,8582/3396 is 14/438084.
To find the highest common factor of 2352,8582, we have to find the factors of both numbers and list the highest common factor.
The factors of 2352 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 49, 56, 84, 98, 112, 147, 168, 196, 294, 336, 392, 588, 784, 1176, 2352
The factors of 8582 are 1, 2, 7, 14, 613, 1226, 4291, 8582
The HCF of 2352,8582 is 14.
Lets's calculate GCF of 2352,8582
| 2 | 2352, 8582 |
| 7 | 1176, 4291 |
| 168, 613 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 2352,8582 By Matching Biggest Common Factor Method
Now, list down the factors of 2352
:1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,49,56,84,98,112,147,168,196,294,336,392,588,784,1176,2352
Now, list down the factors of 8582
:1,2,7,14,613,1226,4291,8582
Greatest Common Factor
We found the factors 2352,8582 . The biggest common factor number is the GCF number.
So the greatest common factor 2352,8582 is 14.
Lets's calculate LCM of 387,3396
| 3 | 387, 3396 |
| 129, 1132 |
∴ So the LCM of the given numbers is 3 x 129 x 1132 = 438084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/438084
Therefore, the GCF of Fractions 2352/387,8582/3396 is 14/438084
Least Common Multiple of 387,3396 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 387,3396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,3396) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(387,3396) x common factors =3 x 1 = 3
LCM(387,3396) = ( 387 × 3396 ) / 3
LCM(387,3396) = 1314252 / 3
LCM(387,3396) = 438084
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FAQs on GCF of Fractions of 2352/387, 8582/3396
1. What is the HCF of 2352,8582?
The HCF of 2352,8582 is 14
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 2352/387, 8582/3396?
Answer: GCF of Numerators as per given numbers 2352/387, 8582/3396 is
GCF of Numerators i.e. for 2352,8582 is 14
LCM of denominators i.e. for 387,3396 is 438084.
Thus, GCF of Fractions is 14/438084.Finally, GCF of Fractions for 2352/387, 8582/3396 is 14/438084.