GCF of 7157/301, 3473/8193
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7157/301, 3473/8193 i.e 1/2466093 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7157/301, 3473/8193.
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 7157/301,3473/8193?
Given fractions are 7157/301,3473/8193
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 7157/301,3473/8193, numerators are 7157,3473
Denominators are 301,8193
The GCF of 7157,3473 is 1 .
LCM of 301,8193 is 2466093.
The greatest common factor of 7157/301,3473/8193 = [GCF of 7157,3473]/[LCM of 301,8193]= 1/2466093
Therefore, the GCF of 7157/301,3473/8193 is 1/2466093.
To find the highest common factor of 7157,3473, we have to find the factors of both numbers and list the highest common factor.
The factors of 7157 are 1, 17, 421, 7157
The factors of 3473 are 1, 23, 151, 3473
The HCF of 7157,3473 is 1.
Lets's calculate GCF of 7157,3473
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7157,3473 By Matching Biggest Common Factor Method
Now, list down the factors of 7157
:1,17,421,7157
Now, list down the factors of 3473
:1,23,151,3473
Greatest Common Factor
We found the factors 7157,3473 . The biggest common factor number is the GCF number.
So the greatest common factor 7157,3473 is 1.
Lets's calculate LCM of 301,8193
Given numbers has no common factors except 1. So, there LCM is their product i.e 2466093
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2466093
Therefore, the GCF of Fractions 7157/301,3473/8193 is 1/2466093
Least Common Multiple of 301,8193 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 301,8193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(301,8193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(301,8193) x common factors =1 x 1 = 1
LCM(301,8193) = ( 301 × 8193 ) / 1
LCM(301,8193) = 2466093 / 1
LCM(301,8193) = 2466093
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FAQs on GCF of Fractions of 7157/301, 3473/8193
1. What is the HCF of 7157,3473?
The HCF of 7157,3473 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 7157/301, 3473/8193?
Answer: GCF of Numerators as per given numbers 7157/301, 3473/8193 is
GCF of Numerators i.e. for 7157,3473 is 1
LCM of denominators i.e. for 301,8193 is 2466093.
Thus, GCF of Fractions is 1/2466093.Finally, GCF of Fractions for 7157/301, 3473/8193 is 1/2466093.