GCF of 886/312, 5748/720
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 886/312, 5748/720 i.e 2/9360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/312, 5748/720.
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 886/312,5748/720?
Given fractions are 886/312,5748/720
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 886/312,5748/720, numerators are 886,5748
Denominators are 312,720
The GCF of 886,5748 is 2 .
LCM of 312,720 is 9360.
The greatest common factor of 886/312,5748/720 = [GCF of 886,5748]/[LCM of 312,720]= 2/9360
Therefore, the GCF of 886/312,5748/720 is 2/9360.
To find the highest common factor of 886,5748, we have to find the factors of both numbers and list the highest common factor.
The factors of 886 are 1, 2, 443, 886
The factors of 5748 are 1, 2, 3, 4, 6, 12, 479, 958, 1437, 1916, 2874, 5748
The HCF of 886,5748 is 2.
Lets's calculate GCF of 886,5748
| 2 | 886, 5748 |
| 443, 2874 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 886,5748 By Matching Biggest Common Factor Method
Now, list down the factors of 886
:1,2,443,886
Now, list down the factors of 5748
:1,2,3,4,6,12,479,958,1437,1916,2874,5748
Greatest Common Factor
We found the factors 886,5748 . The biggest common factor number is the GCF number.
So the greatest common factor 886,5748 is 2.
Lets's calculate LCM of 312,720
| 2 | 312, 720 |
| 2 | 156, 360 |
| 2 | 78, 180 |
| 3 | 39, 90 |
| 13, 30 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 30 = 9360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9360
Therefore, the GCF of Fractions 886/312,5748/720 is 2/9360
Least Common Multiple of 312,720 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 312,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,720) = 24
common factors(in case of two or more numbers have common factors) = 1
GCF(312,720) x common factors =24 x 1 = 24
LCM(312,720) = ( 312 × 720 ) / 24
LCM(312,720) = 224640 / 24
LCM(312,720) = 9360
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FAQs on GCF of Fractions of 886/312, 5748/720
1. What is the HCF of 886,5748?
The HCF of 886,5748 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 886/312, 5748/720?
Answer: GCF of Numerators as per given numbers 886/312, 5748/720 is
GCF of Numerators i.e. for 886,5748 is 2
LCM of denominators i.e. for 312,720 is 9360.
Thus, GCF of Fractions is 2/9360.Finally, GCF of Fractions for 886/312, 5748/720 is 2/9360.