GCF of 3963/965, 5382/5087
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3963/965, 5382/5087 i.e 3/4908955 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3963/965, 5382/5087.
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 3963/965,5382/5087?
Given fractions are 3963/965,5382/5087
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 3963/965,5382/5087, numerators are 3963,5382
Denominators are 965,5087
The GCF of 3963,5382 is 3 .
LCM of 965,5087 is 4908955.
The greatest common factor of 3963/965,5382/5087 = [GCF of 3963,5382]/[LCM of 965,5087]= 3/4908955
Therefore, the GCF of 3963/965,5382/5087 is 3/4908955.
To find the highest common factor of 3963,5382, we have to find the factors of both numbers and list the highest common factor.
The factors of 3963 are 1, 3, 1321, 3963
The factors of 5382 are 1, 2, 3, 6, 9, 13, 18, 23, 26, 39, 46, 69, 78, 117, 138, 207, 234, 299, 414, 598, 897, 1794, 2691, 5382
The HCF of 3963,5382 is 3.
Lets's calculate GCF of 3963,5382
| 3 | 3963, 5382 |
| 1321, 1794 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3963,5382 By Matching Biggest Common Factor Method
Now, list down the factors of 3963
:1,3,1321,3963
Now, list down the factors of 5382
:1,2,3,6,9,13,18,23,26,39,46,69,78,117,138,207,234,299,414,598,897,1794,2691,5382
Greatest Common Factor
We found the factors 3963,5382 . The biggest common factor number is the GCF number.
So the greatest common factor 3963,5382 is 3.
Lets's calculate LCM of 965,5087
Given numbers has no common factors except 1. So, there LCM is their product i.e 4908955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4908955
Therefore, the GCF of Fractions 3963/965,5382/5087 is 3/4908955
Least Common Multiple of 965,5087 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 965,5087 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,5087) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(965,5087) x common factors =1 x 1 = 1
LCM(965,5087) = ( 965 × 5087 ) / 1
LCM(965,5087) = 4908955 / 1
LCM(965,5087) = 4908955
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FAQs on GCF of Fractions of 3963/965, 5382/5087
1. What is the HCF of 3963,5382?
The HCF of 3963,5382 is 3
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 3963/965, 5382/5087?
Answer: GCF of Numerators as per given numbers 3963/965, 5382/5087 is
GCF of Numerators i.e. for 3963,5382 is 3
LCM of denominators i.e. for 965,5087 is 4908955.
Thus, GCF of Fractions is 3/4908955.Finally, GCF of Fractions for 3963/965, 5382/5087 is 3/4908955.