GCF of 6365/358, 5913/348
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6365/358, 5913/348 i.e 1/62292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6365/358, 5913/348.
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 6365/358,5913/348?
Given fractions are 6365/358,5913/348
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 6365/358,5913/348, numerators are 6365,5913
Denominators are 358,348
The GCF of 6365,5913 is 1 .
LCM of 358,348 is 62292.
The greatest common factor of 6365/358,5913/348 = [GCF of 6365,5913]/[LCM of 358,348]= 1/62292
Therefore, the GCF of 6365/358,5913/348 is 1/62292.
To find the highest common factor of 6365,5913, we have to find the factors of both numbers and list the highest common factor.
The factors of 6365 are 1, 5, 19, 67, 95, 335, 1273, 6365
The factors of 5913 are 1, 3, 9, 27, 73, 81, 219, 657, 1971, 5913
The HCF of 6365,5913 is 1.
Lets's calculate GCF of 6365,5913
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6365,5913 By Matching Biggest Common Factor Method
Now, list down the factors of 6365
:1,5,19,67,95,335,1273,6365
Now, list down the factors of 5913
:1,3,9,27,73,81,219,657,1971,5913
Greatest Common Factor
We found the factors 6365,5913 . The biggest common factor number is the GCF number.
So the greatest common factor 6365,5913 is 1.
Lets's calculate LCM of 358,348
| 2 | 358, 348 |
| 179, 174 |
∴ So the LCM of the given numbers is 2 x 179 x 174 = 62292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62292
Therefore, the GCF of Fractions 6365/358,5913/348 is 1/62292
Least Common Multiple of 358,348 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 358,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,348) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(358,348) x common factors =2 x 1 = 2
LCM(358,348) = ( 358 × 348 ) / 2
LCM(358,348) = 124584 / 2
LCM(358,348) = 62292
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FAQs on GCF of Fractions of 6365/358, 5913/348
1. What is the HCF of 6365,5913?
The HCF of 6365,5913 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 6365/358, 5913/348?
Answer: GCF of Numerators as per given numbers 6365/358, 5913/348 is
GCF of Numerators i.e. for 6365,5913 is 1
LCM of denominators i.e. for 358,348 is 62292.
Thus, GCF of Fractions is 1/62292.Finally, GCF of Fractions for 6365/358, 5913/348 is 1/62292.