GCF of 4137/522, 4844/3364
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4137/522, 4844/3364 i.e 7/30276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4137/522, 4844/3364.
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 4137/522,4844/3364?
Given fractions are 4137/522,4844/3364
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 4137/522,4844/3364, numerators are 4137,4844
Denominators are 522,3364
The GCF of 4137,4844 is 7 .
LCM of 522,3364 is 30276.
The greatest common factor of 4137/522,4844/3364 = [GCF of 4137,4844]/[LCM of 522,3364]= 7/30276
Therefore, the GCF of 4137/522,4844/3364 is 7/30276.
To find the highest common factor of 4137,4844, we have to find the factors of both numbers and list the highest common factor.
The factors of 4137 are 1, 3, 7, 21, 197, 591, 1379, 4137
The factors of 4844 are 1, 2, 4, 7, 14, 28, 173, 346, 692, 1211, 2422, 4844
The HCF of 4137,4844 is 7.
Lets's calculate GCF of 4137,4844
| 7 | 4137, 4844 |
| 591, 692 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4137,4844 By Matching Biggest Common Factor Method
Now, list down the factors of 4137
:1,3,7,21,197,591,1379,4137
Now, list down the factors of 4844
:1,2,4,7,14,28,173,346,692,1211,2422,4844
Greatest Common Factor
We found the factors 4137,4844 . The biggest common factor number is the GCF number.
So the greatest common factor 4137,4844 is 7.
Lets's calculate LCM of 522,3364
| 2 | 522, 3364 |
| 29 | 261, 1682 |
| 9, 58 |
∴ So the LCM of the given numbers is 2 x 29 x 9 x 58 = 30276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/30276
Therefore, the GCF of Fractions 4137/522,4844/3364 is 7/30276
Least Common Multiple of 522,3364 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 522,3364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,3364) = 58
common factors(in case of two or more numbers have common factors) = 1
GCF(522,3364) x common factors =58 x 1 = 58
LCM(522,3364) = ( 522 × 3364 ) / 58
LCM(522,3364) = 1756008 / 58
LCM(522,3364) = 30276
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FAQs on GCF of Fractions of 4137/522, 4844/3364
1. What is the HCF of 4137,4844?
The HCF of 4137,4844 is 7
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 4137/522, 4844/3364?
Answer: GCF of Numerators as per given numbers 4137/522, 4844/3364 is
GCF of Numerators i.e. for 4137,4844 is 7
LCM of denominators i.e. for 522,3364 is 30276.
Thus, GCF of Fractions is 7/30276.Finally, GCF of Fractions for 4137/522, 4844/3364 is 7/30276.