GCF of 7339/926, 5446/2996
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7339/926, 5446/2996 i.e 1/1387148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7339/926, 5446/2996.
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 7339/926,5446/2996?
Given fractions are 7339/926,5446/2996
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 7339/926,5446/2996, numerators are 7339,5446
Denominators are 926,2996
The GCF of 7339,5446 is 1 .
LCM of 926,2996 is 1387148.
The greatest common factor of 7339/926,5446/2996 = [GCF of 7339,5446]/[LCM of 926,2996]= 1/1387148
Therefore, the GCF of 7339/926,5446/2996 is 1/1387148.
To find the highest common factor of 7339,5446, we have to find the factors of both numbers and list the highest common factor.
The factors of 7339 are 1, 41, 179, 7339
The factors of 5446 are 1, 2, 7, 14, 389, 778, 2723, 5446
The HCF of 7339,5446 is 1.
Lets's calculate GCF of 7339,5446
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7339,5446 By Matching Biggest Common Factor Method
Now, list down the factors of 7339
:1,41,179,7339
Now, list down the factors of 5446
:1,2,7,14,389,778,2723,5446
Greatest Common Factor
We found the factors 7339,5446 . The biggest common factor number is the GCF number.
So the greatest common factor 7339,5446 is 1.
Lets's calculate LCM of 926,2996
| 2 | 926, 2996 |
| 463, 1498 |
∴ So the LCM of the given numbers is 2 x 463 x 1498 = 1387148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1387148
Therefore, the GCF of Fractions 7339/926,5446/2996 is 1/1387148
Least Common Multiple of 926,2996 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 926,2996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,2996) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(926,2996) x common factors =2 x 1 = 2
LCM(926,2996) = ( 926 × 2996 ) / 2
LCM(926,2996) = 2774296 / 2
LCM(926,2996) = 1387148
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FAQs on GCF of Fractions of 7339/926, 5446/2996
1. What is the HCF of 7339,5446?
The HCF of 7339,5446 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 7339/926, 5446/2996?
Answer: GCF of Numerators as per given numbers 7339/926, 5446/2996 is
GCF of Numerators i.e. for 7339,5446 is 1
LCM of denominators i.e. for 926,2996 is 1387148.
Thus, GCF of Fractions is 1/1387148.Finally, GCF of Fractions for 7339/926, 5446/2996 is 1/1387148.