GCF of 7315/763, 5239/7213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7315/763, 5239/7213 i.e 1/5503519 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7315/763, 5239/7213.
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 7315/763,5239/7213?
Given fractions are 7315/763,5239/7213
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 7315/763,5239/7213, numerators are 7315,5239
Denominators are 763,7213
The GCF of 7315,5239 is 1 .
LCM of 763,7213 is 5503519.
The greatest common factor of 7315/763,5239/7213 = [GCF of 7315,5239]/[LCM of 763,7213]= 1/5503519
Therefore, the GCF of 7315/763,5239/7213 is 1/5503519.
To find the highest common factor of 7315,5239, we have to find the factors of both numbers and list the highest common factor.
The factors of 7315 are 1, 5, 7, 11, 19, 35, 55, 77, 95, 133, 209, 385, 665, 1045, 1463, 7315
The factors of 5239 are 1, 13, 31, 169, 403, 5239
The HCF of 7315,5239 is 1.
Lets's calculate GCF of 7315,5239
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7315,5239 By Matching Biggest Common Factor Method
Now, list down the factors of 7315
:1,5,7,11,19,35,55,77,95,133,209,385,665,1045,1463,7315
Now, list down the factors of 5239
:1,13,31,169,403,5239
Greatest Common Factor
We found the factors 7315,5239 . The biggest common factor number is the GCF number.
So the greatest common factor 7315,5239 is 1.
Lets's calculate LCM of 763,7213
Given numbers has no common factors except 1. So, there LCM is their product i.e 5503519
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5503519
Therefore, the GCF of Fractions 7315/763,5239/7213 is 1/5503519
Least Common Multiple of 763,7213 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 763,7213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,7213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(763,7213) x common factors =1 x 1 = 1
LCM(763,7213) = ( 763 × 7213 ) / 1
LCM(763,7213) = 5503519 / 1
LCM(763,7213) = 5503519
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FAQs on GCF of Fractions of 7315/763, 5239/7213
1. What is the HCF of 7315,5239?
The HCF of 7315,5239 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 7315/763, 5239/7213?
Answer: GCF of Numerators as per given numbers 7315/763, 5239/7213 is
GCF of Numerators i.e. for 7315,5239 is 1
LCM of denominators i.e. for 763,7213 is 5503519.
Thus, GCF of Fractions is 1/5503519.Finally, GCF of Fractions for 7315/763, 5239/7213 is 1/5503519.