GCF of 5792/851, 9225/283
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5792/851, 9225/283 i.e 1/240833 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5792/851, 9225/283.
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 5792/851,9225/283?
Given fractions are 5792/851,9225/283
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 5792/851,9225/283, numerators are 5792,9225
Denominators are 851,283
The GCF of 5792,9225 is 1 .
LCM of 851,283 is 240833.
The greatest common factor of 5792/851,9225/283 = [GCF of 5792,9225]/[LCM of 851,283]= 1/240833
Therefore, the GCF of 5792/851,9225/283 is 1/240833.
To find the highest common factor of 5792,9225, we have to find the factors of both numbers and list the highest common factor.
The factors of 5792 are 1, 2, 4, 8, 16, 32, 181, 362, 724, 1448, 2896, 5792
The factors of 9225 are 1, 3, 5, 9, 15, 25, 41, 45, 75, 123, 205, 225, 369, 615, 1025, 1845, 3075, 9225
The HCF of 5792,9225 is 1.
Lets's calculate GCF of 5792,9225
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5792,9225 By Matching Biggest Common Factor Method
Now, list down the factors of 5792
:1,2,4,8,16,32,181,362,724,1448,2896,5792
Now, list down the factors of 9225
:1,3,5,9,15,25,41,45,75,123,205,225,369,615,1025,1845,3075,9225
Greatest Common Factor
We found the factors 5792,9225 . The biggest common factor number is the GCF number.
So the greatest common factor 5792,9225 is 1.
Lets's calculate LCM of 851,283
Given numbers has no common factors except 1. So, there LCM is their product i.e 240833
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/240833
Therefore, the GCF of Fractions 5792/851,9225/283 is 1/240833
Least Common Multiple of 851,283 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 851,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,283) x common factors =1 x 1 = 1
LCM(851,283) = ( 851 × 283 ) / 1
LCM(851,283) = 240833 / 1
LCM(851,283) = 240833
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FAQs on GCF of Fractions of 5792/851, 9225/283
1. What is the HCF of 5792,9225?
The HCF of 5792,9225 is 1
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 5792/851, 9225/283?
Answer: GCF of Numerators as per given numbers 5792/851, 9225/283 is
GCF of Numerators i.e. for 5792,9225 is 1
LCM of denominators i.e. for 851,283 is 240833.
Thus, GCF of Fractions is 1/240833.Finally, GCF of Fractions for 5792/851, 9225/283 is 1/240833.