GCF of 6468/509, 5831/2299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6468/509, 5831/2299 i.e 49/1170191 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6468/509, 5831/2299.
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 6468/509,5831/2299?
Given fractions are 6468/509,5831/2299
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 6468/509,5831/2299, numerators are 6468,5831
Denominators are 509,2299
The GCF of 6468,5831 is 49 .
LCM of 509,2299 is 1170191.
The greatest common factor of 6468/509,5831/2299 = [GCF of 6468,5831]/[LCM of 509,2299]= 49/1170191
Therefore, the GCF of 6468/509,5831/2299 is 49/1170191.
To find the highest common factor of 6468,5831, we have to find the factors of both numbers and list the highest common factor.
The factors of 6468 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 49, 66, 77, 84, 98, 132, 147, 154, 196, 231, 294, 308, 462, 539, 588, 924, 1078, 1617, 2156, 3234, 6468
The factors of 5831 are 1, 7, 17, 49, 119, 343, 833, 5831
The HCF of 6468,5831 is 49.
Lets's calculate GCF of 6468,5831
| 7 | 6468, 5831 |
| 7 | 924, 833 |
| 132, 119 |
∴ So the GCF of the given numbers is 7 x 7 = 49
Greatest Common Factor of 6468,5831 By Matching Biggest Common Factor Method
Now, list down the factors of 6468
:1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,49,66,77,84,98,132,147,154,196,231,294,308,462,539,588,924,1078,1617,2156,3234,6468
Now, list down the factors of 5831
:1,7,17,49,119,343,833,5831
Greatest Common Factor
We found the factors 6468,5831 . The biggest common factor number is the GCF number.
So the greatest common factor 6468,5831 is 49.
Lets's calculate LCM of 509,2299
Given numbers has no common factors except 1. So, there LCM is their product i.e 1170191
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/1170191
Therefore, the GCF of Fractions 6468/509,5831/2299 is 49/1170191
Least Common Multiple of 509,2299 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 509,2299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,2299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,2299) x common factors =1 x 1 = 1
LCM(509,2299) = ( 509 × 2299 ) / 1
LCM(509,2299) = 1170191 / 1
LCM(509,2299) = 1170191
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FAQs on GCF of Fractions of 6468/509, 5831/2299
1. What is the HCF of 6468,5831?
The HCF of 6468,5831 is 49
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 6468/509, 5831/2299?
Answer: GCF of Numerators as per given numbers 6468/509, 5831/2299 is
GCF of Numerators i.e. for 6468,5831 is 49
LCM of denominators i.e. for 509,2299 is 1170191.
Thus, GCF of Fractions is 49/1170191.Finally, GCF of Fractions for 6468/509, 5831/2299 is 49/1170191.