GCF of 7384/376, 7533/4490
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7384/376, 7533/4490 i.e 1/844120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7384/376, 7533/4490.
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 7384/376,7533/4490?
Given fractions are 7384/376,7533/4490
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 7384/376,7533/4490, numerators are 7384,7533
Denominators are 376,4490
The GCF of 7384,7533 is 1 .
LCM of 376,4490 is 844120.
The greatest common factor of 7384/376,7533/4490 = [GCF of 7384,7533]/[LCM of 376,4490]= 1/844120
Therefore, the GCF of 7384/376,7533/4490 is 1/844120.
To find the highest common factor of 7384,7533, we have to find the factors of both numbers and list the highest common factor.
The factors of 7384 are 1, 2, 4, 8, 13, 26, 52, 71, 104, 142, 284, 568, 923, 1846, 3692, 7384
The factors of 7533 are 1, 3, 9, 27, 31, 81, 93, 243, 279, 837, 2511, 7533
The HCF of 7384,7533 is 1.
Lets's calculate GCF of 7384,7533
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7384,7533 By Matching Biggest Common Factor Method
Now, list down the factors of 7384
:1,2,4,8,13,26,52,71,104,142,284,568,923,1846,3692,7384
Now, list down the factors of 7533
:1,3,9,27,31,81,93,243,279,837,2511,7533
Greatest Common Factor
We found the factors 7384,7533 . The biggest common factor number is the GCF number.
So the greatest common factor 7384,7533 is 1.
Lets's calculate LCM of 376,4490
| 2 | 376, 4490 |
| 188, 2245 |
∴ So the LCM of the given numbers is 2 x 188 x 2245 = 844120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/844120
Therefore, the GCF of Fractions 7384/376,7533/4490 is 1/844120
Least Common Multiple of 376,4490 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 376,4490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,4490) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(376,4490) x common factors =2 x 1 = 2
LCM(376,4490) = ( 376 × 4490 ) / 2
LCM(376,4490) = 1688240 / 2
LCM(376,4490) = 844120
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FAQs on GCF of Fractions of 7384/376, 7533/4490
1. What is the HCF of 7384,7533?
The HCF of 7384,7533 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 7384/376, 7533/4490?
Answer: GCF of Numerators as per given numbers 7384/376, 7533/4490 is
GCF of Numerators i.e. for 7384,7533 is 1
LCM of denominators i.e. for 376,4490 is 844120.
Thus, GCF of Fractions is 1/844120.Finally, GCF of Fractions for 7384/376, 7533/4490 is 1/844120.