GCF of 5348/720, 6125/3456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5348/720, 6125/3456 i.e 7/17280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5348/720, 6125/3456.
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 5348/720,6125/3456?
Given fractions are 5348/720,6125/3456
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 5348/720,6125/3456, numerators are 5348,6125
Denominators are 720,3456
The GCF of 5348,6125 is 7 .
LCM of 720,3456 is 17280.
The greatest common factor of 5348/720,6125/3456 = [GCF of 5348,6125]/[LCM of 720,3456]= 7/17280
Therefore, the GCF of 5348/720,6125/3456 is 7/17280.
To find the highest common factor of 5348,6125, we have to find the factors of both numbers and list the highest common factor.
The factors of 5348 are 1, 2, 4, 7, 14, 28, 191, 382, 764, 1337, 2674, 5348
The factors of 6125 are 1, 5, 7, 25, 35, 49, 125, 175, 245, 875, 1225, 6125
The HCF of 5348,6125 is 7.
Lets's calculate GCF of 5348,6125
| 7 | 5348, 6125 |
| 764, 875 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5348,6125 By Matching Biggest Common Factor Method
Now, list down the factors of 5348
:1,2,4,7,14,28,191,382,764,1337,2674,5348
Now, list down the factors of 6125
:1,5,7,25,35,49,125,175,245,875,1225,6125
Greatest Common Factor
We found the factors 5348,6125 . The biggest common factor number is the GCF number.
So the greatest common factor 5348,6125 is 7.
Lets's calculate LCM of 720,3456
| 2 | 720, 3456 |
| 2 | 360, 1728 |
| 2 | 180, 864 |
| 2 | 90, 432 |
| 3 | 45, 216 |
| 3 | 15, 72 |
| 5, 24 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 5 x 24 = 17280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/17280
Therefore, the GCF of Fractions 5348/720,6125/3456 is 7/17280
Least Common Multiple of 720,3456 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 720,3456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,3456) = 144
common factors(in case of two or more numbers have common factors) = 1
GCF(720,3456) x common factors =144 x 1 = 144
LCM(720,3456) = ( 720 × 3456 ) / 144
LCM(720,3456) = 2488320 / 144
LCM(720,3456) = 17280
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FAQs on GCF of Fractions of 5348/720, 6125/3456
1. What is the HCF of 5348,6125?
The HCF of 5348,6125 is 7
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 5348/720, 6125/3456?
Answer: GCF of Numerators as per given numbers 5348/720, 6125/3456 is
GCF of Numerators i.e. for 5348,6125 is 7
LCM of denominators i.e. for 720,3456 is 17280.
Thus, GCF of Fractions is 7/17280.Finally, GCF of Fractions for 5348/720, 6125/3456 is 7/17280.