GCF of 7372/396, 2075/276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7372/396, 2075/276 i.e 1/9108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7372/396, 2075/276.
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 7372/396,2075/276?
Given fractions are 7372/396,2075/276
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 7372/396,2075/276, numerators are 7372,2075
Denominators are 396,276
The GCF of 7372,2075 is 1 .
LCM of 396,276 is 9108.
The greatest common factor of 7372/396,2075/276 = [GCF of 7372,2075]/[LCM of 396,276]= 1/9108
Therefore, the GCF of 7372/396,2075/276 is 1/9108.
To find the highest common factor of 7372,2075, we have to find the factors of both numbers and list the highest common factor.
The factors of 7372 are 1, 2, 4, 19, 38, 76, 97, 194, 388, 1843, 3686, 7372
The factors of 2075 are 1, 5, 25, 83, 415, 2075
The HCF of 7372,2075 is 1.
Lets's calculate GCF of 7372,2075
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7372,2075 By Matching Biggest Common Factor Method
Now, list down the factors of 7372
:1,2,4,19,38,76,97,194,388,1843,3686,7372
Now, list down the factors of 2075
:1,5,25,83,415,2075
Greatest Common Factor
We found the factors 7372,2075 . The biggest common factor number is the GCF number.
So the greatest common factor 7372,2075 is 1.
Lets's calculate LCM of 396,276
| 2 | 396, 276 |
| 2 | 198, 138 |
| 3 | 99, 69 |
| 33, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 33 x 23 = 9108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9108
Therefore, the GCF of Fractions 7372/396,2075/276 is 1/9108
Least Common Multiple of 396,276 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 396,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,276) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(396,276) x common factors =12 x 1 = 12
LCM(396,276) = ( 396 × 276 ) / 12
LCM(396,276) = 109296 / 12
LCM(396,276) = 9108
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FAQs on GCF of Fractions of 7372/396, 2075/276
1. What is the HCF of 7372,2075?
The HCF of 7372,2075 is 1
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 7372/396, 2075/276?
Answer: GCF of Numerators as per given numbers 7372/396, 2075/276 is
GCF of Numerators i.e. for 7372,2075 is 1
LCM of denominators i.e. for 396,276 is 9108.
Thus, GCF of Fractions is 1/9108.Finally, GCF of Fractions for 7372/396, 2075/276 is 1/9108.