GCF of 7613/354, 8123/3473
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7613/354, 8123/3473 i.e 1/1229442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7613/354, 8123/3473.
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 7613/354,8123/3473?
Given fractions are 7613/354,8123/3473
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 7613/354,8123/3473, numerators are 7613,8123
Denominators are 354,3473
The GCF of 7613,8123 is 1 .
LCM of 354,3473 is 1229442.
The greatest common factor of 7613/354,8123/3473 = [GCF of 7613,8123]/[LCM of 354,3473]= 1/1229442
Therefore, the GCF of 7613/354,8123/3473 is 1/1229442.
To find the highest common factor of 7613,8123, we have to find the factors of both numbers and list the highest common factor.
The factors of 7613 are 1, 23, 331, 7613
The factors of 8123 are 1, 8123
The HCF of 7613,8123 is 1.
Lets's calculate GCF of 7613,8123
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7613,8123 By Matching Biggest Common Factor Method
Now, list down the factors of 7613
:1,23,331,7613
Now, list down the factors of 8123
:1,8123
Greatest Common Factor
We found the factors 7613,8123 . The biggest common factor number is the GCF number.
So the greatest common factor 7613,8123 is 1.
Lets's calculate LCM of 354,3473
Given numbers has no common factors except 1. So, there LCM is their product i.e 1229442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1229442
Therefore, the GCF of Fractions 7613/354,8123/3473 is 1/1229442
Least Common Multiple of 354,3473 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 354,3473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,3473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(354,3473) x common factors =1 x 1 = 1
LCM(354,3473) = ( 354 × 3473 ) / 1
LCM(354,3473) = 1229442 / 1
LCM(354,3473) = 1229442
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FAQs on GCF of Fractions of 7613/354, 8123/3473
1. What is the HCF of 7613,8123?
The HCF of 7613,8123 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 7613/354, 8123/3473?
Answer: GCF of Numerators as per given numbers 7613/354, 8123/3473 is
GCF of Numerators i.e. for 7613,8123 is 1
LCM of denominators i.e. for 354,3473 is 1229442.
Thus, GCF of Fractions is 1/1229442.Finally, GCF of Fractions for 7613/354, 8123/3473 is 1/1229442.