GCF of 5319/342, 7730/6023
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5319/342, 7730/6023 i.e 1/108414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5319/342, 7730/6023.
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 5319/342,7730/6023?
Given fractions are 5319/342,7730/6023
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 5319/342,7730/6023, numerators are 5319,7730
Denominators are 342,6023
The GCF of 5319,7730 is 1 .
LCM of 342,6023 is 108414.
The greatest common factor of 5319/342,7730/6023 = [GCF of 5319,7730]/[LCM of 342,6023]= 1/108414
Therefore, the GCF of 5319/342,7730/6023 is 1/108414.
To find the highest common factor of 5319,7730, we have to find the factors of both numbers and list the highest common factor.
The factors of 5319 are 1, 3, 9, 27, 197, 591, 1773, 5319
The factors of 7730 are 1, 2, 5, 10, 773, 1546, 3865, 7730
The HCF of 5319,7730 is 1.
Lets's calculate GCF of 5319,7730
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5319,7730 By Matching Biggest Common Factor Method
Now, list down the factors of 5319
:1,3,9,27,197,591,1773,5319
Now, list down the factors of 7730
:1,2,5,10,773,1546,3865,7730
Greatest Common Factor
We found the factors 5319,7730 . The biggest common factor number is the GCF number.
So the greatest common factor 5319,7730 is 1.
Lets's calculate LCM of 342,6023
| 19 | 342, 6023 |
| 18, 317 |
∴ So the LCM of the given numbers is 19 x 18 x 317 = 108414
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108414
Therefore, the GCF of Fractions 5319/342,7730/6023 is 1/108414
Least Common Multiple of 342,6023 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 342,6023 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,6023) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(342,6023) x common factors =19 x 1 = 19
LCM(342,6023) = ( 342 × 6023 ) / 19
LCM(342,6023) = 2059866 / 19
LCM(342,6023) = 108414
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FAQs on GCF of Fractions of 5319/342, 7730/6023
1. What is the HCF of 5319,7730?
The HCF of 5319,7730 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 5319/342, 7730/6023?
Answer: GCF of Numerators as per given numbers 5319/342, 7730/6023 is
GCF of Numerators i.e. for 5319,7730 is 1
LCM of denominators i.e. for 342,6023 is 108414.
Thus, GCF of Fractions is 1/108414.Finally, GCF of Fractions for 5319/342, 7730/6023 is 1/108414.