GCF of 9125/623, 3451/9740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9125/623, 3451/9740 i.e 1/6068020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9125/623, 3451/9740.
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 9125/623,3451/9740?
Given fractions are 9125/623,3451/9740
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 9125/623,3451/9740, numerators are 9125,3451
Denominators are 623,9740
The GCF of 9125,3451 is 1 .
LCM of 623,9740 is 6068020.
The greatest common factor of 9125/623,3451/9740 = [GCF of 9125,3451]/[LCM of 623,9740]= 1/6068020
Therefore, the GCF of 9125/623,3451/9740 is 1/6068020.
To find the highest common factor of 9125,3451, we have to find the factors of both numbers and list the highest common factor.
The factors of 9125 are 1, 5, 25, 73, 125, 365, 1825, 9125
The factors of 3451 are 1, 7, 17, 29, 119, 203, 493, 3451
The HCF of 9125,3451 is 1.
Lets's calculate GCF of 9125,3451
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9125,3451 By Matching Biggest Common Factor Method
Now, list down the factors of 9125
:1,5,25,73,125,365,1825,9125
Now, list down the factors of 3451
:1,7,17,29,119,203,493,3451
Greatest Common Factor
We found the factors 9125,3451 . The biggest common factor number is the GCF number.
So the greatest common factor 9125,3451 is 1.
Lets's calculate LCM of 623,9740
Given numbers has no common factors except 1. So, there LCM is their product i.e 6068020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6068020
Therefore, the GCF of Fractions 9125/623,3451/9740 is 1/6068020
Least Common Multiple of 623,9740 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 623,9740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,9740) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,9740) x common factors =1 x 1 = 1
LCM(623,9740) = ( 623 × 9740 ) / 1
LCM(623,9740) = 6068020 / 1
LCM(623,9740) = 6068020
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FAQs on GCF of Fractions of 9125/623, 3451/9740
1. What is the HCF of 9125,3451?
The HCF of 9125,3451 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 9125/623, 3451/9740?
Answer: GCF of Numerators as per given numbers 9125/623, 3451/9740 is
GCF of Numerators i.e. for 9125,3451 is 1
LCM of denominators i.e. for 623,9740 is 6068020.
Thus, GCF of Fractions is 1/6068020.Finally, GCF of Fractions for 9125/623, 3451/9740 is 1/6068020.