GCF of 3994/514, 3982/6892
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3994/514, 3982/6892 i.e 2/1771244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3994/514, 3982/6892.
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 3994/514,3982/6892?
Given fractions are 3994/514,3982/6892
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 3994/514,3982/6892, numerators are 3994,3982
Denominators are 514,6892
The GCF of 3994,3982 is 2 .
LCM of 514,6892 is 1771244.
The greatest common factor of 3994/514,3982/6892 = [GCF of 3994,3982]/[LCM of 514,6892]= 2/1771244
Therefore, the GCF of 3994/514,3982/6892 is 2/1771244.
To find the highest common factor of 3994,3982, we have to find the factors of both numbers and list the highest common factor.
The factors of 3994 are 1, 2, 1997, 3994
The factors of 3982 are 1, 2, 11, 22, 181, 362, 1991, 3982
The HCF of 3994,3982 is 2.
Lets's calculate GCF of 3994,3982
| 2 | 3994, 3982 |
| 1997, 1991 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3994,3982 By Matching Biggest Common Factor Method
Now, list down the factors of 3994
:1,2,1997,3994
Now, list down the factors of 3982
:1,2,11,22,181,362,1991,3982
Greatest Common Factor
We found the factors 3994,3982 . The biggest common factor number is the GCF number.
So the greatest common factor 3994,3982 is 2.
Lets's calculate LCM of 514,6892
| 2 | 514, 6892 |
| 257, 3446 |
∴ So the LCM of the given numbers is 2 x 257 x 3446 = 1771244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1771244
Therefore, the GCF of Fractions 3994/514,3982/6892 is 2/1771244
Least Common Multiple of 514,6892 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 514,6892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,6892) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(514,6892) x common factors =2 x 1 = 2
LCM(514,6892) = ( 514 × 6892 ) / 2
LCM(514,6892) = 3542488 / 2
LCM(514,6892) = 1771244
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FAQs on GCF of Fractions of 3994/514, 3982/6892
1. What is the HCF of 3994,3982?
The HCF of 3994,3982 is 2
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 3994/514, 3982/6892?
Answer: GCF of Numerators as per given numbers 3994/514, 3982/6892 is
GCF of Numerators i.e. for 3994,3982 is 2
LCM of denominators i.e. for 514,6892 is 1771244.
Thus, GCF of Fractions is 2/1771244.Finally, GCF of Fractions for 3994/514, 3982/6892 is 2/1771244.