GCF of 9497/350, 7112/5867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9497/350, 7112/5867 i.e 1/2053450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9497/350, 7112/5867.
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 9497/350,7112/5867?
Given fractions are 9497/350,7112/5867
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 9497/350,7112/5867, numerators are 9497,7112
Denominators are 350,5867
The GCF of 9497,7112 is 1 .
LCM of 350,5867 is 2053450.
The greatest common factor of 9497/350,7112/5867 = [GCF of 9497,7112]/[LCM of 350,5867]= 1/2053450
Therefore, the GCF of 9497/350,7112/5867 is 1/2053450.
To find the highest common factor of 9497,7112, we have to find the factors of both numbers and list the highest common factor.
The factors of 9497 are 1, 9497
The factors of 7112 are 1, 2, 4, 7, 8, 14, 28, 56, 127, 254, 508, 889, 1016, 1778, 3556, 7112
The HCF of 9497,7112 is 1.
Lets's calculate GCF of 9497,7112
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9497,7112 By Matching Biggest Common Factor Method
Now, list down the factors of 9497
:1,9497
Now, list down the factors of 7112
:1,2,4,7,8,14,28,56,127,254,508,889,1016,1778,3556,7112
Greatest Common Factor
We found the factors 9497,7112 . The biggest common factor number is the GCF number.
So the greatest common factor 9497,7112 is 1.
Lets's calculate LCM of 350,5867
Given numbers has no common factors except 1. So, there LCM is their product i.e 2053450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2053450
Therefore, the GCF of Fractions 9497/350,7112/5867 is 1/2053450
Least Common Multiple of 350,5867 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 350,5867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,5867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(350,5867) x common factors =1 x 1 = 1
LCM(350,5867) = ( 350 × 5867 ) / 1
LCM(350,5867) = 2053450 / 1
LCM(350,5867) = 2053450
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FAQs on GCF of Fractions of 9497/350, 7112/5867
1. What is the HCF of 9497,7112?
The HCF of 9497,7112 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 9497/350, 7112/5867?
Answer: GCF of Numerators as per given numbers 9497/350, 7112/5867 is
GCF of Numerators i.e. for 9497,7112 is 1
LCM of denominators i.e. for 350,5867 is 2053450.
Thus, GCF of Fractions is 1/2053450.Finally, GCF of Fractions for 9497/350, 7112/5867 is 1/2053450.