GCF of 5872/280, 4730/8869
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5872/280, 4730/8869 i.e 2/354760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5872/280, 4730/8869.
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 5872/280,4730/8869?
Given fractions are 5872/280,4730/8869
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 5872/280,4730/8869, numerators are 5872,4730
Denominators are 280,8869
The GCF of 5872,4730 is 2 .
LCM of 280,8869 is 354760.
The greatest common factor of 5872/280,4730/8869 = [GCF of 5872,4730]/[LCM of 280,8869]= 2/354760
Therefore, the GCF of 5872/280,4730/8869 is 2/354760.
To find the highest common factor of 5872,4730, we have to find the factors of both numbers and list the highest common factor.
The factors of 5872 are 1, 2, 4, 8, 16, 367, 734, 1468, 2936, 5872
The factors of 4730 are 1, 2, 5, 10, 11, 22, 43, 55, 86, 110, 215, 430, 473, 946, 2365, 4730
The HCF of 5872,4730 is 2.
Lets's calculate GCF of 5872,4730
| 2 | 5872, 4730 |
| 2936, 2365 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5872,4730 By Matching Biggest Common Factor Method
Now, list down the factors of 5872
:1,2,4,8,16,367,734,1468,2936,5872
Now, list down the factors of 4730
:1,2,5,10,11,22,43,55,86,110,215,430,473,946,2365,4730
Greatest Common Factor
We found the factors 5872,4730 . The biggest common factor number is the GCF number.
So the greatest common factor 5872,4730 is 2.
Lets's calculate LCM of 280,8869
| 7 | 280, 8869 |
| 40, 1267 |
∴ So the LCM of the given numbers is 7 x 40 x 1267 = 354760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/354760
Therefore, the GCF of Fractions 5872/280,4730/8869 is 2/354760
Least Common Multiple of 280,8869 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 280,8869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(280,8869) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(280,8869) x common factors =7 x 1 = 7
LCM(280,8869) = ( 280 × 8869 ) / 7
LCM(280,8869) = 2483320 / 7
LCM(280,8869) = 354760
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FAQs on GCF of Fractions of 5872/280, 4730/8869
1. What is the HCF of 5872,4730?
The HCF of 5872,4730 is 2
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 5872/280, 4730/8869?
Answer: GCF of Numerators as per given numbers 5872/280, 4730/8869 is
GCF of Numerators i.e. for 5872,4730 is 2
LCM of denominators i.e. for 280,8869 is 354760.
Thus, GCF of Fractions is 2/354760.Finally, GCF of Fractions for 5872/280, 4730/8869 is 2/354760.