GCF of 5349/312, 7892/4658
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5349/312, 7892/4658 i.e 1/726648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5349/312, 7892/4658.
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 5349/312,7892/4658?
Given fractions are 5349/312,7892/4658
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 5349/312,7892/4658, numerators are 5349,7892
Denominators are 312,4658
The GCF of 5349,7892 is 1 .
LCM of 312,4658 is 726648.
The greatest common factor of 5349/312,7892/4658 = [GCF of 5349,7892]/[LCM of 312,4658]= 1/726648
Therefore, the GCF of 5349/312,7892/4658 is 1/726648.
To find the highest common factor of 5349,7892, we have to find the factors of both numbers and list the highest common factor.
The factors of 5349 are 1, 3, 1783, 5349
The factors of 7892 are 1, 2, 4, 1973, 3946, 7892
The HCF of 5349,7892 is 1.
Lets's calculate GCF of 5349,7892
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5349,7892 By Matching Biggest Common Factor Method
Now, list down the factors of 5349
:1,3,1783,5349
Now, list down the factors of 7892
:1,2,4,1973,3946,7892
Greatest Common Factor
We found the factors 5349,7892 . The biggest common factor number is the GCF number.
So the greatest common factor 5349,7892 is 1.
Lets's calculate LCM of 312,4658
| 2 | 312, 4658 |
| 156, 2329 |
∴ So the LCM of the given numbers is 2 x 156 x 2329 = 726648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/726648
Therefore, the GCF of Fractions 5349/312,7892/4658 is 1/726648
Least Common Multiple of 312,4658 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 312,4658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,4658) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(312,4658) x common factors =2 x 1 = 2
LCM(312,4658) = ( 312 × 4658 ) / 2
LCM(312,4658) = 1453296 / 2
LCM(312,4658) = 726648
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FAQs on GCF of Fractions of 5349/312, 7892/4658
1. What is the HCF of 5349,7892?
The HCF of 5349,7892 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 5349/312, 7892/4658?
Answer: GCF of Numerators as per given numbers 5349/312, 7892/4658 is
GCF of Numerators i.e. for 5349,7892 is 1
LCM of denominators i.e. for 312,4658 is 726648.
Thus, GCF of Fractions is 1/726648.Finally, GCF of Fractions for 5349/312, 7892/4658 is 1/726648.