GCF of 4772/290, 8365/499
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4772/290, 8365/499 i.e 1/144710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4772/290, 8365/499.
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 4772/290,8365/499?
Given fractions are 4772/290,8365/499
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 4772/290,8365/499, numerators are 4772,8365
Denominators are 290,499
The GCF of 4772,8365 is 1 .
LCM of 290,499 is 144710.
The greatest common factor of 4772/290,8365/499 = [GCF of 4772,8365]/[LCM of 290,499]= 1/144710
Therefore, the GCF of 4772/290,8365/499 is 1/144710.
To find the highest common factor of 4772,8365, we have to find the factors of both numbers and list the highest common factor.
The factors of 4772 are 1, 2, 4, 1193, 2386, 4772
The factors of 8365 are 1, 5, 7, 35, 239, 1195, 1673, 8365
The HCF of 4772,8365 is 1.
Lets's calculate GCF of 4772,8365
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4772,8365 By Matching Biggest Common Factor Method
Now, list down the factors of 4772
:1,2,4,1193,2386,4772
Now, list down the factors of 8365
:1,5,7,35,239,1195,1673,8365
Greatest Common Factor
We found the factors 4772,8365 . The biggest common factor number is the GCF number.
So the greatest common factor 4772,8365 is 1.
Lets's calculate LCM of 290,499
Given numbers has no common factors except 1. So, there LCM is their product i.e 144710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144710
Therefore, the GCF of Fractions 4772/290,8365/499 is 1/144710
Least Common Multiple of 290,499 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 290,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,499) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(290,499) x common factors =1 x 1 = 1
LCM(290,499) = ( 290 × 499 ) / 1
LCM(290,499) = 144710 / 1
LCM(290,499) = 144710
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FAQs on GCF of Fractions of 4772/290, 8365/499
1. What is the HCF of 4772,8365?
The HCF of 4772,8365 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 4772/290, 8365/499?
Answer: GCF of Numerators as per given numbers 4772/290, 8365/499 is
GCF of Numerators i.e. for 4772,8365 is 1
LCM of denominators i.e. for 290,499 is 144710.
Thus, GCF of Fractions is 1/144710.Finally, GCF of Fractions for 4772/290, 8365/499 is 1/144710.