GCF of 3977/969, 7449/993
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3977/969, 7449/993 i.e 1/320739 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3977/969, 7449/993.
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 3977/969,7449/993?
Given fractions are 3977/969,7449/993
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 3977/969,7449/993, numerators are 3977,7449
Denominators are 969,993
The GCF of 3977,7449 is 1 .
LCM of 969,993 is 320739.
The greatest common factor of 3977/969,7449/993 = [GCF of 3977,7449]/[LCM of 969,993]= 1/320739
Therefore, the GCF of 3977/969,7449/993 is 1/320739.
To find the highest common factor of 3977,7449, we have to find the factors of both numbers and list the highest common factor.
The factors of 3977 are 1, 41, 97, 3977
The factors of 7449 are 1, 3, 13, 39, 191, 573, 2483, 7449
The HCF of 3977,7449 is 1.
Lets's calculate GCF of 3977,7449
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3977,7449 By Matching Biggest Common Factor Method
Now, list down the factors of 3977
:1,41,97,3977
Now, list down the factors of 7449
:1,3,13,39,191,573,2483,7449
Greatest Common Factor
We found the factors 3977,7449 . The biggest common factor number is the GCF number.
So the greatest common factor 3977,7449 is 1.
Lets's calculate LCM of 969,993
| 3 | 969, 993 |
| 323, 331 |
∴ So the LCM of the given numbers is 3 x 323 x 331 = 320739
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/320739
Therefore, the GCF of Fractions 3977/969,7449/993 is 1/320739
Least Common Multiple of 969,993 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 969,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,993) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(969,993) x common factors =3 x 1 = 3
LCM(969,993) = ( 969 × 993 ) / 3
LCM(969,993) = 962217 / 3
LCM(969,993) = 320739
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FAQs on GCF of Fractions of 3977/969, 7449/993
1. What is the HCF of 3977,7449?
The HCF of 3977,7449 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 3977/969, 7449/993?
Answer: GCF of Numerators as per given numbers 3977/969, 7449/993 is
GCF of Numerators i.e. for 3977,7449 is 1
LCM of denominators i.e. for 969,993 is 320739.
Thus, GCF of Fractions is 1/320739.Finally, GCF of Fractions for 3977/969, 7449/993 is 1/320739.