GCF of 7257/862, 4036/8923
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7257/862, 4036/8923 i.e 1/7691626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7257/862, 4036/8923.
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 7257/862,4036/8923?
Given fractions are 7257/862,4036/8923
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 7257/862,4036/8923, numerators are 7257,4036
Denominators are 862,8923
The GCF of 7257,4036 is 1 .
LCM of 862,8923 is 7691626.
The greatest common factor of 7257/862,4036/8923 = [GCF of 7257,4036]/[LCM of 862,8923]= 1/7691626
Therefore, the GCF of 7257/862,4036/8923 is 1/7691626.
To find the highest common factor of 7257,4036, we have to find the factors of both numbers and list the highest common factor.
The factors of 7257 are 1, 3, 41, 59, 123, 177, 2419, 7257
The factors of 4036 are 1, 2, 4, 1009, 2018, 4036
The HCF of 7257,4036 is 1.
Lets's calculate GCF of 7257,4036
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7257,4036 By Matching Biggest Common Factor Method
Now, list down the factors of 7257
:1,3,41,59,123,177,2419,7257
Now, list down the factors of 4036
:1,2,4,1009,2018,4036
Greatest Common Factor
We found the factors 7257,4036 . The biggest common factor number is the GCF number.
So the greatest common factor 7257,4036 is 1.
Lets's calculate LCM of 862,8923
Given numbers has no common factors except 1. So, there LCM is their product i.e 7691626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7691626
Therefore, the GCF of Fractions 7257/862,4036/8923 is 1/7691626
Least Common Multiple of 862,8923 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 862,8923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,8923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(862,8923) x common factors =1 x 1 = 1
LCM(862,8923) = ( 862 × 8923 ) / 1
LCM(862,8923) = 7691626 / 1
LCM(862,8923) = 7691626
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FAQs on GCF of Fractions of 7257/862, 4036/8923
1. What is the HCF of 7257,4036?
The HCF of 7257,4036 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 7257/862, 4036/8923?
Answer: GCF of Numerators as per given numbers 7257/862, 4036/8923 is
GCF of Numerators i.e. for 7257,4036 is 1
LCM of denominators i.e. for 862,8923 is 7691626.
Thus, GCF of Fractions is 1/7691626.Finally, GCF of Fractions for 7257/862, 4036/8923 is 1/7691626.