GCF of 5227/213, 9255/8092
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5227/213, 9255/8092 i.e 1/1723596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5227/213, 9255/8092.
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 5227/213,9255/8092?
Given fractions are 5227/213,9255/8092
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 5227/213,9255/8092, numerators are 5227,9255
Denominators are 213,8092
The GCF of 5227,9255 is 1 .
LCM of 213,8092 is 1723596.
The greatest common factor of 5227/213,9255/8092 = [GCF of 5227,9255]/[LCM of 213,8092]= 1/1723596
Therefore, the GCF of 5227/213,9255/8092 is 1/1723596.
To find the highest common factor of 5227,9255, we have to find the factors of both numbers and list the highest common factor.
The factors of 5227 are 1, 5227
The factors of 9255 are 1, 3, 5, 15, 617, 1851, 3085, 9255
The HCF of 5227,9255 is 1.
Lets's calculate GCF of 5227,9255
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5227,9255 By Matching Biggest Common Factor Method
Now, list down the factors of 5227
:1,5227
Now, list down the factors of 9255
:1,3,5,15,617,1851,3085,9255
Greatest Common Factor
We found the factors 5227,9255 . The biggest common factor number is the GCF number.
So the greatest common factor 5227,9255 is 1.
Lets's calculate LCM of 213,8092
Given numbers has no common factors except 1. So, there LCM is their product i.e 1723596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1723596
Therefore, the GCF of Fractions 5227/213,9255/8092 is 1/1723596
Least Common Multiple of 213,8092 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 213,8092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,8092) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,8092) x common factors =1 x 1 = 1
LCM(213,8092) = ( 213 × 8092 ) / 1
LCM(213,8092) = 1723596 / 1
LCM(213,8092) = 1723596
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FAQs on GCF of Fractions of 5227/213, 9255/8092
1. What is the HCF of 5227,9255?
The HCF of 5227,9255 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 5227/213, 9255/8092?
Answer: GCF of Numerators as per given numbers 5227/213, 9255/8092 is
GCF of Numerators i.e. for 5227,9255 is 1
LCM of denominators i.e. for 213,8092 is 1723596.
Thus, GCF of Fractions is 1/1723596.Finally, GCF of Fractions for 5227/213, 9255/8092 is 1/1723596.