GCF of 9137/927, 7492/5509
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9137/927, 7492/5509 i.e 1/5106843 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9137/927, 7492/5509.
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 9137/927,7492/5509?
Given fractions are 9137/927,7492/5509
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 9137/927,7492/5509, numerators are 9137,7492
Denominators are 927,5509
The GCF of 9137,7492 is 1 .
LCM of 927,5509 is 5106843.
The greatest common factor of 9137/927,7492/5509 = [GCF of 9137,7492]/[LCM of 927,5509]= 1/5106843
Therefore, the GCF of 9137/927,7492/5509 is 1/5106843.
To find the highest common factor of 9137,7492, we have to find the factors of both numbers and list the highest common factor.
The factors of 9137 are 1, 9137
The factors of 7492 are 1, 2, 4, 1873, 3746, 7492
The HCF of 9137,7492 is 1.
Lets's calculate GCF of 9137,7492
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9137,7492 By Matching Biggest Common Factor Method
Now, list down the factors of 9137
:1,9137
Now, list down the factors of 7492
:1,2,4,1873,3746,7492
Greatest Common Factor
We found the factors 9137,7492 . The biggest common factor number is the GCF number.
So the greatest common factor 9137,7492 is 1.
Lets's calculate LCM of 927,5509
Given numbers has no common factors except 1. So, there LCM is their product i.e 5106843
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5106843
Therefore, the GCF of Fractions 9137/927,7492/5509 is 1/5106843
Least Common Multiple of 927,5509 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 927,5509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,5509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(927,5509) x common factors =1 x 1 = 1
LCM(927,5509) = ( 927 × 5509 ) / 1
LCM(927,5509) = 5106843 / 1
LCM(927,5509) = 5106843
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FAQs on GCF of Fractions of 9137/927, 7492/5509
1. What is the HCF of 9137,7492?
The HCF of 9137,7492 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 9137/927, 7492/5509?
Answer: GCF of Numerators as per given numbers 9137/927, 7492/5509 is
GCF of Numerators i.e. for 9137,7492 is 1
LCM of denominators i.e. for 927,5509 is 5106843.
Thus, GCF of Fractions is 1/5106843.Finally, GCF of Fractions for 9137/927, 7492/5509 is 1/5106843.