GCF of 4329/278, 9372/3863
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4329/278, 9372/3863 i.e 3/1073914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4329/278, 9372/3863.
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 4329/278,9372/3863?
Given fractions are 4329/278,9372/3863
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 4329/278,9372/3863, numerators are 4329,9372
Denominators are 278,3863
The GCF of 4329,9372 is 3 .
LCM of 278,3863 is 1073914.
The greatest common factor of 4329/278,9372/3863 = [GCF of 4329,9372]/[LCM of 278,3863]= 3/1073914
Therefore, the GCF of 4329/278,9372/3863 is 3/1073914.
To find the highest common factor of 4329,9372, we have to find the factors of both numbers and list the highest common factor.
The factors of 4329 are 1, 3, 9, 13, 37, 39, 111, 117, 333, 481, 1443, 4329
The factors of 9372 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 71, 132, 142, 213, 284, 426, 781, 852, 1562, 2343, 3124, 4686, 9372
The HCF of 4329,9372 is 3.
Lets's calculate GCF of 4329,9372
| 3 | 4329, 9372 |
| 1443, 3124 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4329,9372 By Matching Biggest Common Factor Method
Now, list down the factors of 4329
:1,3,9,13,37,39,111,117,333,481,1443,4329
Now, list down the factors of 9372
:1,2,3,4,6,11,12,22,33,44,66,71,132,142,213,284,426,781,852,1562,2343,3124,4686,9372
Greatest Common Factor
We found the factors 4329,9372 . The biggest common factor number is the GCF number.
So the greatest common factor 4329,9372 is 3.
Lets's calculate LCM of 278,3863
Given numbers has no common factors except 1. So, there LCM is their product i.e 1073914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1073914
Therefore, the GCF of Fractions 4329/278,9372/3863 is 3/1073914
Least Common Multiple of 278,3863 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 278,3863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,3863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(278,3863) x common factors =1 x 1 = 1
LCM(278,3863) = ( 278 × 3863 ) / 1
LCM(278,3863) = 1073914 / 1
LCM(278,3863) = 1073914
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FAQs on GCF of Fractions of 4329/278, 9372/3863
1. What is the HCF of 4329,9372?
The HCF of 4329,9372 is 3
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 4329/278, 9372/3863?
Answer: GCF of Numerators as per given numbers 4329/278, 9372/3863 is
GCF of Numerators i.e. for 4329,9372 is 3
LCM of denominators i.e. for 278,3863 is 1073914.
Thus, GCF of Fractions is 3/1073914.Finally, GCF of Fractions for 4329/278, 9372/3863 is 3/1073914.