GCF of 4819/819, 7561/302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4819/819, 7561/302 i.e 1/247338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4819/819, 7561/302.
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 4819/819,7561/302?
Given fractions are 4819/819,7561/302
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 4819/819,7561/302, numerators are 4819,7561
Denominators are 819,302
The GCF of 4819,7561 is 1 .
LCM of 819,302 is 247338.
The greatest common factor of 4819/819,7561/302 = [GCF of 4819,7561]/[LCM of 819,302]= 1/247338
Therefore, the GCF of 4819/819,7561/302 is 1/247338.
To find the highest common factor of 4819,7561, we have to find the factors of both numbers and list the highest common factor.
The factors of 4819 are 1, 61, 79, 4819
The factors of 7561 are 1, 7561
The HCF of 4819,7561 is 1.
Lets's calculate GCF of 4819,7561
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4819,7561 By Matching Biggest Common Factor Method
Now, list down the factors of 4819
:1,61,79,4819
Now, list down the factors of 7561
:1,7561
Greatest Common Factor
We found the factors 4819,7561 . The biggest common factor number is the GCF number.
So the greatest common factor 4819,7561 is 1.
Lets's calculate LCM of 819,302
Given numbers has no common factors except 1. So, there LCM is their product i.e 247338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/247338
Therefore, the GCF of Fractions 4819/819,7561/302 is 1/247338
Least Common Multiple of 819,302 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 819,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,302) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(819,302) x common factors =1 x 1 = 1
LCM(819,302) = ( 819 × 302 ) / 1
LCM(819,302) = 247338 / 1
LCM(819,302) = 247338
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FAQs on GCF of Fractions of 4819/819, 7561/302
1. What is the HCF of 4819,7561?
The HCF of 4819,7561 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 4819/819, 7561/302?
Answer: GCF of Numerators as per given numbers 4819/819, 7561/302 is
GCF of Numerators i.e. for 4819,7561 is 1
LCM of denominators i.e. for 819,302 is 247338.
Thus, GCF of Fractions is 1/247338.Finally, GCF of Fractions for 4819/819, 7561/302 is 1/247338.