GCF of 9102/915, 3703/8543
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9102/915, 3703/8543 i.e 1/7816845 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9102/915, 3703/8543.
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 9102/915,3703/8543?
Given fractions are 9102/915,3703/8543
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 9102/915,3703/8543, numerators are 9102,3703
Denominators are 915,8543
The GCF of 9102,3703 is 1 .
LCM of 915,8543 is 7816845.
The greatest common factor of 9102/915,3703/8543 = [GCF of 9102,3703]/[LCM of 915,8543]= 1/7816845
Therefore, the GCF of 9102/915,3703/8543 is 1/7816845.
To find the highest common factor of 9102,3703, we have to find the factors of both numbers and list the highest common factor.
The factors of 9102 are 1, 2, 3, 6, 37, 41, 74, 82, 111, 123, 222, 246, 1517, 3034, 4551, 9102
The factors of 3703 are 1, 7, 23, 161, 529, 3703
The HCF of 9102,3703 is 1.
Lets's calculate GCF of 9102,3703
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9102,3703 By Matching Biggest Common Factor Method
Now, list down the factors of 9102
:1,2,3,6,37,41,74,82,111,123,222,246,1517,3034,4551,9102
Now, list down the factors of 3703
:1,7,23,161,529,3703
Greatest Common Factor
We found the factors 9102,3703 . The biggest common factor number is the GCF number.
So the greatest common factor 9102,3703 is 1.
Lets's calculate LCM of 915,8543
Given numbers has no common factors except 1. So, there LCM is their product i.e 7816845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7816845
Therefore, the GCF of Fractions 9102/915,3703/8543 is 1/7816845
Least Common Multiple of 915,8543 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 915,8543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(915,8543) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(915,8543) x common factors =1 x 1 = 1
LCM(915,8543) = ( 915 × 8543 ) / 1
LCM(915,8543) = 7816845 / 1
LCM(915,8543) = 7816845
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FAQs on GCF of Fractions of 9102/915, 3703/8543
1. What is the HCF of 9102,3703?
The HCF of 9102,3703 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 9102/915, 3703/8543?
Answer: GCF of Numerators as per given numbers 9102/915, 3703/8543 is
GCF of Numerators i.e. for 9102,3703 is 1
LCM of denominators i.e. for 915,8543 is 7816845.
Thus, GCF of Fractions is 1/7816845.Finally, GCF of Fractions for 9102/915, 3703/8543 is 1/7816845.