GCF of 7253/560, 9318/9593
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7253/560, 9318/9593 i.e 1/5372080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7253/560, 9318/9593.
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 7253/560,9318/9593?
Given fractions are 7253/560,9318/9593
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 7253/560,9318/9593, numerators are 7253,9318
Denominators are 560,9593
The GCF of 7253,9318 is 1 .
LCM of 560,9593 is 5372080.
The greatest common factor of 7253/560,9318/9593 = [GCF of 7253,9318]/[LCM of 560,9593]= 1/5372080
Therefore, the GCF of 7253/560,9318/9593 is 1/5372080.
To find the highest common factor of 7253,9318, we have to find the factors of both numbers and list the highest common factor.
The factors of 7253 are 1, 7253
The factors of 9318 are 1, 2, 3, 6, 1553, 3106, 4659, 9318
The HCF of 7253,9318 is 1.
Lets's calculate GCF of 7253,9318
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7253,9318 By Matching Biggest Common Factor Method
Now, list down the factors of 7253
:1,7253
Now, list down the factors of 9318
:1,2,3,6,1553,3106,4659,9318
Greatest Common Factor
We found the factors 7253,9318 . The biggest common factor number is the GCF number.
So the greatest common factor 7253,9318 is 1.
Lets's calculate LCM of 560,9593
Given numbers has no common factors except 1. So, there LCM is their product i.e 5372080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5372080
Therefore, the GCF of Fractions 7253/560,9318/9593 is 1/5372080
Least Common Multiple of 560,9593 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 560,9593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,9593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(560,9593) x common factors =1 x 1 = 1
LCM(560,9593) = ( 560 × 9593 ) / 1
LCM(560,9593) = 5372080 / 1
LCM(560,9593) = 5372080
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FAQs on GCF of Fractions of 7253/560, 9318/9593
1. What is the HCF of 7253,9318?
The HCF of 7253,9318 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 7253/560, 9318/9593?
Answer: GCF of Numerators as per given numbers 7253/560, 9318/9593 is
GCF of Numerators i.e. for 7253,9318 is 1
LCM of denominators i.e. for 560,9593 is 5372080.
Thus, GCF of Fractions is 1/5372080.Finally, GCF of Fractions for 7253/560, 9318/9593 is 1/5372080.