GCF of 4730/509, 5373/8080
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4730/509, 5373/8080 i.e 1/4112720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4730/509, 5373/8080.
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 4730/509,5373/8080?
Given fractions are 4730/509,5373/8080
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 4730/509,5373/8080, numerators are 4730,5373
Denominators are 509,8080
The GCF of 4730,5373 is 1 .
LCM of 509,8080 is 4112720.
The greatest common factor of 4730/509,5373/8080 = [GCF of 4730,5373]/[LCM of 509,8080]= 1/4112720
Therefore, the GCF of 4730/509,5373/8080 is 1/4112720.
To find the highest common factor of 4730,5373, we have to find the factors of both numbers and list the highest common factor.
The factors of 4730 are 1, 2, 5, 10, 11, 22, 43, 55, 86, 110, 215, 430, 473, 946, 2365, 4730
The factors of 5373 are 1, 3, 9, 27, 199, 597, 1791, 5373
The HCF of 4730,5373 is 1.
Lets's calculate GCF of 4730,5373
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4730,5373 By Matching Biggest Common Factor Method
Now, list down the factors of 4730
:1,2,5,10,11,22,43,55,86,110,215,430,473,946,2365,4730
Now, list down the factors of 5373
:1,3,9,27,199,597,1791,5373
Greatest Common Factor
We found the factors 4730,5373 . The biggest common factor number is the GCF number.
So the greatest common factor 4730,5373 is 1.
Lets's calculate LCM of 509,8080
Given numbers has no common factors except 1. So, there LCM is their product i.e 4112720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4112720
Therefore, the GCF of Fractions 4730/509,5373/8080 is 1/4112720
Least Common Multiple of 509,8080 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 509,8080 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,8080) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,8080) x common factors =1 x 1 = 1
LCM(509,8080) = ( 509 × 8080 ) / 1
LCM(509,8080) = 4112720 / 1
LCM(509,8080) = 4112720
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FAQs on GCF of Fractions of 4730/509, 5373/8080
1. What is the HCF of 4730,5373?
The HCF of 4730,5373 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 4730/509, 5373/8080?
Answer: GCF of Numerators as per given numbers 4730/509, 5373/8080 is
GCF of Numerators i.e. for 4730,5373 is 1
LCM of denominators i.e. for 509,8080 is 4112720.
Thus, GCF of Fractions is 1/4112720.Finally, GCF of Fractions for 4730/509, 5373/8080 is 1/4112720.