GCF of 7298/476, 5945/2101
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7298/476, 5945/2101 i.e 41/1000076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7298/476, 5945/2101.
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 7298/476,5945/2101?
Given fractions are 7298/476,5945/2101
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 7298/476,5945/2101, numerators are 7298,5945
Denominators are 476,2101
The GCF of 7298,5945 is 41 .
LCM of 476,2101 is 1000076.
The greatest common factor of 7298/476,5945/2101 = [GCF of 7298,5945]/[LCM of 476,2101]= 41/1000076
Therefore, the GCF of 7298/476,5945/2101 is 41/1000076.
To find the highest common factor of 7298,5945, we have to find the factors of both numbers and list the highest common factor.
The factors of 7298 are 1, 2, 41, 82, 89, 178, 3649, 7298
The factors of 5945 are 1, 5, 29, 41, 145, 205, 1189, 5945
The HCF of 7298,5945 is 41.
Lets's calculate GCF of 7298,5945
| 41 | 7298, 5945 |
| 178, 145 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 7298,5945 By Matching Biggest Common Factor Method
Now, list down the factors of 7298
:1,2,41,82,89,178,3649,7298
Now, list down the factors of 5945
:1,5,29,41,145,205,1189,5945
Greatest Common Factor
We found the factors 7298,5945 . The biggest common factor number is the GCF number.
So the greatest common factor 7298,5945 is 41.
Lets's calculate LCM of 476,2101
Given numbers has no common factors except 1. So, there LCM is their product i.e 1000076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/1000076
Therefore, the GCF of Fractions 7298/476,5945/2101 is 41/1000076
Least Common Multiple of 476,2101 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 476,2101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,2101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(476,2101) x common factors =1 x 1 = 1
LCM(476,2101) = ( 476 × 2101 ) / 1
LCM(476,2101) = 1000076 / 1
LCM(476,2101) = 1000076
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FAQs on GCF of Fractions of 7298/476, 5945/2101
1. What is the HCF of 7298,5945?
The HCF of 7298,5945 is 41
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 7298/476, 5945/2101?
Answer: GCF of Numerators as per given numbers 7298/476, 5945/2101 is
GCF of Numerators i.e. for 7298,5945 is 41
LCM of denominators i.e. for 476,2101 is 1000076.
Thus, GCF of Fractions is 41/1000076.Finally, GCF of Fractions for 7298/476, 5945/2101 is 41/1000076.