GCF of 3993/554, 5956/907
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3993/554, 5956/907 i.e 1/502478 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3993/554, 5956/907.
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 3993/554,5956/907?
Given fractions are 3993/554,5956/907
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 3993/554,5956/907, numerators are 3993,5956
Denominators are 554,907
The GCF of 3993,5956 is 1 .
LCM of 554,907 is 502478.
The greatest common factor of 3993/554,5956/907 = [GCF of 3993,5956]/[LCM of 554,907]= 1/502478
Therefore, the GCF of 3993/554,5956/907 is 1/502478.
To find the highest common factor of 3993,5956, we have to find the factors of both numbers and list the highest common factor.
The factors of 3993 are 1, 3, 11, 33, 121, 363, 1331, 3993
The factors of 5956 are 1, 2, 4, 1489, 2978, 5956
The HCF of 3993,5956 is 1.
Lets's calculate GCF of 3993,5956
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3993,5956 By Matching Biggest Common Factor Method
Now, list down the factors of 3993
:1,3,11,33,121,363,1331,3993
Now, list down the factors of 5956
:1,2,4,1489,2978,5956
Greatest Common Factor
We found the factors 3993,5956 . The biggest common factor number is the GCF number.
So the greatest common factor 3993,5956 is 1.
Lets's calculate LCM of 554,907
Given numbers has no common factors except 1. So, there LCM is their product i.e 502478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/502478
Therefore, the GCF of Fractions 3993/554,5956/907 is 1/502478
Least Common Multiple of 554,907 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 554,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(554,907) x common factors =1 x 1 = 1
LCM(554,907) = ( 554 × 907 ) / 1
LCM(554,907) = 502478 / 1
LCM(554,907) = 502478
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FAQs on GCF of Fractions of 3993/554, 5956/907
1. What is the HCF of 3993,5956?
The HCF of 3993,5956 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 3993/554, 5956/907?
Answer: GCF of Numerators as per given numbers 3993/554, 5956/907 is
GCF of Numerators i.e. for 3993,5956 is 1
LCM of denominators i.e. for 554,907 is 502478.
Thus, GCF of Fractions is 1/502478.Finally, GCF of Fractions for 3993/554, 5956/907 is 1/502478.