GCF of 8703/899, 4855/1352
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8703/899, 4855/1352 i.e 1/1215448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8703/899, 4855/1352.
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 8703/899,4855/1352?
Given fractions are 8703/899,4855/1352
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 8703/899,4855/1352, numerators are 8703,4855
Denominators are 899,1352
The GCF of 8703,4855 is 1 .
LCM of 899,1352 is 1215448.
The greatest common factor of 8703/899,4855/1352 = [GCF of 8703,4855]/[LCM of 899,1352]= 1/1215448
Therefore, the GCF of 8703/899,4855/1352 is 1/1215448.
To find the highest common factor of 8703,4855, we have to find the factors of both numbers and list the highest common factor.
The factors of 8703 are 1, 3, 9, 967, 2901, 8703
The factors of 4855 are 1, 5, 971, 4855
The HCF of 8703,4855 is 1.
Lets's calculate GCF of 8703,4855
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8703,4855 By Matching Biggest Common Factor Method
Now, list down the factors of 8703
:1,3,9,967,2901,8703
Now, list down the factors of 4855
:1,5,971,4855
Greatest Common Factor
We found the factors 8703,4855 . The biggest common factor number is the GCF number.
So the greatest common factor 8703,4855 is 1.
Lets's calculate LCM of 899,1352
Given numbers has no common factors except 1. So, there LCM is their product i.e 1215448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1215448
Therefore, the GCF of Fractions 8703/899,4855/1352 is 1/1215448
Least Common Multiple of 899,1352 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 899,1352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,1352) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(899,1352) x common factors =1 x 1 = 1
LCM(899,1352) = ( 899 × 1352 ) / 1
LCM(899,1352) = 1215448 / 1
LCM(899,1352) = 1215448
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FAQs on GCF of Fractions of 8703/899, 4855/1352
1. What is the HCF of 8703,4855?
The HCF of 8703,4855 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 8703/899, 4855/1352?
Answer: GCF of Numerators as per given numbers 8703/899, 4855/1352 is
GCF of Numerators i.e. for 8703,4855 is 1
LCM of denominators i.e. for 899,1352 is 1215448.
Thus, GCF of Fractions is 1/1215448.Finally, GCF of Fractions for 8703/899, 4855/1352 is 1/1215448.