GCF of 3373/994, 2639/6819
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3373/994, 2639/6819 i.e 1/6778086 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3373/994, 2639/6819.
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 3373/994,2639/6819?
Given fractions are 3373/994,2639/6819
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 3373/994,2639/6819, numerators are 3373,2639
Denominators are 994,6819
The GCF of 3373,2639 is 1 .
LCM of 994,6819 is 6778086.
The greatest common factor of 3373/994,2639/6819 = [GCF of 3373,2639]/[LCM of 994,6819]= 1/6778086
Therefore, the GCF of 3373/994,2639/6819 is 1/6778086.
To find the highest common factor of 3373,2639, we have to find the factors of both numbers and list the highest common factor.
The factors of 3373 are 1, 3373
The factors of 2639 are 1, 7, 13, 29, 91, 203, 377, 2639
The HCF of 3373,2639 is 1.
Lets's calculate GCF of 3373,2639
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3373,2639 By Matching Biggest Common Factor Method
Now, list down the factors of 3373
:1,3373
Now, list down the factors of 2639
:1,7,13,29,91,203,377,2639
Greatest Common Factor
We found the factors 3373,2639 . The biggest common factor number is the GCF number.
So the greatest common factor 3373,2639 is 1.
Lets's calculate LCM of 994,6819
Given numbers has no common factors except 1. So, there LCM is their product i.e 6778086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6778086
Therefore, the GCF of Fractions 3373/994,2639/6819 is 1/6778086
Least Common Multiple of 994,6819 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 994,6819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,6819) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(994,6819) x common factors =1 x 1 = 1
LCM(994,6819) = ( 994 × 6819 ) / 1
LCM(994,6819) = 6778086 / 1
LCM(994,6819) = 6778086
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FAQs on GCF of Fractions of 3373/994, 2639/6819
1. What is the HCF of 3373,2639?
The HCF of 3373,2639 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 3373/994, 2639/6819?
Answer: GCF of Numerators as per given numbers 3373/994, 2639/6819 is
GCF of Numerators i.e. for 3373,2639 is 1
LCM of denominators i.e. for 994,6819 is 6778086.
Thus, GCF of Fractions is 1/6778086.Finally, GCF of Fractions for 3373/994, 2639/6819 is 1/6778086.