GCF of 9298/443, 7574/7251
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9298/443, 7574/7251 i.e 2/3212193 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9298/443, 7574/7251.
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 9298/443,7574/7251?
Given fractions are 9298/443,7574/7251
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 9298/443,7574/7251, numerators are 9298,7574
Denominators are 443,7251
The GCF of 9298,7574 is 2 .
LCM of 443,7251 is 3212193.
The greatest common factor of 9298/443,7574/7251 = [GCF of 9298,7574]/[LCM of 443,7251]= 2/3212193
Therefore, the GCF of 9298/443,7574/7251 is 2/3212193.
To find the highest common factor of 9298,7574, we have to find the factors of both numbers and list the highest common factor.
The factors of 9298 are 1, 2, 4649, 9298
The factors of 7574 are 1, 2, 7, 14, 541, 1082, 3787, 7574
The HCF of 9298,7574 is 2.
Lets's calculate GCF of 9298,7574
| 2 | 9298, 7574 |
| 4649, 3787 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9298,7574 By Matching Biggest Common Factor Method
Now, list down the factors of 9298
:1,2,4649,9298
Now, list down the factors of 7574
:1,2,7,14,541,1082,3787,7574
Greatest Common Factor
We found the factors 9298,7574 . The biggest common factor number is the GCF number.
So the greatest common factor 9298,7574 is 2.
Lets's calculate LCM of 443,7251
Given numbers has no common factors except 1. So, there LCM is their product i.e 3212193
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3212193
Therefore, the GCF of Fractions 9298/443,7574/7251 is 2/3212193
Least Common Multiple of 443,7251 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 443,7251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,7251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,7251) x common factors =1 x 1 = 1
LCM(443,7251) = ( 443 × 7251 ) / 1
LCM(443,7251) = 3212193 / 1
LCM(443,7251) = 3212193
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FAQs on GCF of Fractions of 9298/443, 7574/7251
1. What is the HCF of 9298,7574?
The HCF of 9298,7574 is 2
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 9298/443, 7574/7251?
Answer: GCF of Numerators as per given numbers 9298/443, 7574/7251 is
GCF of Numerators i.e. for 9298,7574 is 2
LCM of denominators i.e. for 443,7251 is 3212193.
Thus, GCF of Fractions is 2/3212193.Finally, GCF of Fractions for 9298/443, 7574/7251 is 2/3212193.