GCF of 7509/202, 2297/8916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7509/202, 2297/8916 i.e 1/900516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7509/202, 2297/8916.
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 7509/202,2297/8916?
Given fractions are 7509/202,2297/8916
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 7509/202,2297/8916, numerators are 7509,2297
Denominators are 202,8916
The GCF of 7509,2297 is 1 .
LCM of 202,8916 is 900516.
The greatest common factor of 7509/202,2297/8916 = [GCF of 7509,2297]/[LCM of 202,8916]= 1/900516
Therefore, the GCF of 7509/202,2297/8916 is 1/900516.
To find the highest common factor of 7509,2297, we have to find the factors of both numbers and list the highest common factor.
The factors of 7509 are 1, 3, 2503, 7509
The factors of 2297 are 1, 2297
The HCF of 7509,2297 is 1.
Lets's calculate GCF of 7509,2297
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7509,2297 By Matching Biggest Common Factor Method
Now, list down the factors of 7509
:1,3,2503,7509
Now, list down the factors of 2297
:1,2297
Greatest Common Factor
We found the factors 7509,2297 . The biggest common factor number is the GCF number.
So the greatest common factor 7509,2297 is 1.
Lets's calculate LCM of 202,8916
| 2 | 202, 8916 |
| 101, 4458 |
∴ So the LCM of the given numbers is 2 x 101 x 4458 = 900516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/900516
Therefore, the GCF of Fractions 7509/202,2297/8916 is 1/900516
Least Common Multiple of 202,8916 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 202,8916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,8916) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,8916) x common factors =2 x 1 = 2
LCM(202,8916) = ( 202 × 8916 ) / 2
LCM(202,8916) = 1801032 / 2
LCM(202,8916) = 900516
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FAQs on GCF of Fractions of 7509/202, 2297/8916
1. What is the HCF of 7509,2297?
The HCF of 7509,2297 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 7509/202, 2297/8916?
Answer: GCF of Numerators as per given numbers 7509/202, 2297/8916 is
GCF of Numerators i.e. for 7509,2297 is 1
LCM of denominators i.e. for 202,8916 is 900516.
Thus, GCF of Fractions is 1/900516.Finally, GCF of Fractions for 7509/202, 2297/8916 is 1/900516.