GCF of 5640/496, 6865/5079
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5640/496, 6865/5079 i.e 5/2519184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5640/496, 6865/5079.
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 5640/496,6865/5079?
Given fractions are 5640/496,6865/5079
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 5640/496,6865/5079, numerators are 5640,6865
Denominators are 496,5079
The GCF of 5640,6865 is 5 .
LCM of 496,5079 is 2519184.
The greatest common factor of 5640/496,6865/5079 = [GCF of 5640,6865]/[LCM of 496,5079]= 5/2519184
Therefore, the GCF of 5640/496,6865/5079 is 5/2519184.
To find the highest common factor of 5640,6865, we have to find the factors of both numbers and list the highest common factor.
The factors of 5640 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 47, 60, 94, 120, 141, 188, 235, 282, 376, 470, 564, 705, 940, 1128, 1410, 1880, 2820, 5640
The factors of 6865 are 1, 5, 1373, 6865
The HCF of 5640,6865 is 5.
Lets's calculate GCF of 5640,6865
| 5 | 5640, 6865 |
| 1128, 1373 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5640,6865 By Matching Biggest Common Factor Method
Now, list down the factors of 5640
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,47,60,94,120,141,188,235,282,376,470,564,705,940,1128,1410,1880,2820,5640
Now, list down the factors of 6865
:1,5,1373,6865
Greatest Common Factor
We found the factors 5640,6865 . The biggest common factor number is the GCF number.
So the greatest common factor 5640,6865 is 5.
Lets's calculate LCM of 496,5079
Given numbers has no common factors except 1. So, there LCM is their product i.e 2519184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2519184
Therefore, the GCF of Fractions 5640/496,6865/5079 is 5/2519184
Least Common Multiple of 496,5079 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 496,5079 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,5079) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(496,5079) x common factors =1 x 1 = 1
LCM(496,5079) = ( 496 × 5079 ) / 1
LCM(496,5079) = 2519184 / 1
LCM(496,5079) = 2519184
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FAQs on GCF of Fractions of 5640/496, 6865/5079
1. What is the HCF of 5640,6865?
The HCF of 5640,6865 is 5
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 5640/496, 6865/5079?
Answer: GCF of Numerators as per given numbers 5640/496, 6865/5079 is
GCF of Numerators i.e. for 5640,6865 is 5
LCM of denominators i.e. for 496,5079 is 2519184.
Thus, GCF of Fractions is 5/2519184.Finally, GCF of Fractions for 5640/496, 6865/5079 is 5/2519184.