GCF of 9892/736, 4360/9927
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9892/736, 4360/9927 i.e 4/7306272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9892/736, 4360/9927.
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 9892/736,4360/9927?
Given fractions are 9892/736,4360/9927
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 9892/736,4360/9927, numerators are 9892,4360
Denominators are 736,9927
The GCF of 9892,4360 is 4 .
LCM of 736,9927 is 7306272.
The greatest common factor of 9892/736,4360/9927 = [GCF of 9892,4360]/[LCM of 736,9927]= 4/7306272
Therefore, the GCF of 9892/736,4360/9927 is 4/7306272.
To find the highest common factor of 9892,4360, we have to find the factors of both numbers and list the highest common factor.
The factors of 9892 are 1, 2, 4, 2473, 4946, 9892
The factors of 4360 are 1, 2, 4, 5, 8, 10, 20, 40, 109, 218, 436, 545, 872, 1090, 2180, 4360
The HCF of 9892,4360 is 4.
Lets's calculate GCF of 9892,4360
| 2 | 9892, 4360 |
| 2 | 4946, 2180 |
| 2473, 1090 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9892,4360 By Matching Biggest Common Factor Method
Now, list down the factors of 9892
:1,2,4,2473,4946,9892
Now, list down the factors of 4360
:1,2,4,5,8,10,20,40,109,218,436,545,872,1090,2180,4360
Greatest Common Factor
We found the factors 9892,4360 . The biggest common factor number is the GCF number.
So the greatest common factor 9892,4360 is 4.
Lets's calculate LCM of 736,9927
Given numbers has no common factors except 1. So, there LCM is their product i.e 7306272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7306272
Therefore, the GCF of Fractions 9892/736,4360/9927 is 4/7306272
Least Common Multiple of 736,9927 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 736,9927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,9927) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(736,9927) x common factors =1 x 1 = 1
LCM(736,9927) = ( 736 × 9927 ) / 1
LCM(736,9927) = 7306272 / 1
LCM(736,9927) = 7306272
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FAQs on GCF of Fractions of 9892/736, 4360/9927
1. What is the HCF of 9892,4360?
The HCF of 9892,4360 is 4
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 9892/736, 4360/9927?
Answer: GCF of Numerators as per given numbers 9892/736, 4360/9927 is
GCF of Numerators i.e. for 9892,4360 is 4
LCM of denominators i.e. for 736,9927 is 7306272.
Thus, GCF of Fractions is 4/7306272.Finally, GCF of Fractions for 9892/736, 4360/9927 is 4/7306272.