GCF of 1541/529, 4976/8299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1541/529, 4976/8299 i.e 1/4390171 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1541/529, 4976/8299.
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 1541/529,4976/8299?
Given fractions are 1541/529,4976/8299
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 1541/529,4976/8299, numerators are 1541,4976
Denominators are 529,8299
The GCF of 1541,4976 is 1 .
LCM of 529,8299 is 4390171.
The greatest common factor of 1541/529,4976/8299 = [GCF of 1541,4976]/[LCM of 529,8299]= 1/4390171
Therefore, the GCF of 1541/529,4976/8299 is 1/4390171.
To find the highest common factor of 1541,4976, we have to find the factors of both numbers and list the highest common factor.
The factors of 1541 are 1, 23, 67, 1541
The factors of 4976 are 1, 2, 4, 8, 16, 311, 622, 1244, 2488, 4976
The HCF of 1541,4976 is 1.
Lets's calculate GCF of 1541,4976
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1541,4976 By Matching Biggest Common Factor Method
Now, list down the factors of 1541
:1,23,67,1541
Now, list down the factors of 4976
:1,2,4,8,16,311,622,1244,2488,4976
Greatest Common Factor
We found the factors 1541,4976 . The biggest common factor number is the GCF number.
So the greatest common factor 1541,4976 is 1.
Lets's calculate LCM of 529,8299
Given numbers has no common factors except 1. So, there LCM is their product i.e 4390171
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4390171
Therefore, the GCF of Fractions 1541/529,4976/8299 is 1/4390171
Least Common Multiple of 529,8299 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 529,8299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,8299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,8299) x common factors =1 x 1 = 1
LCM(529,8299) = ( 529 × 8299 ) / 1
LCM(529,8299) = 4390171 / 1
LCM(529,8299) = 4390171
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FAQs on GCF of Fractions of 1541/529, 4976/8299
1. What is the HCF of 1541,4976?
The HCF of 1541,4976 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 1541/529, 4976/8299?
Answer: GCF of Numerators as per given numbers 1541/529, 4976/8299 is
GCF of Numerators i.e. for 1541,4976 is 1
LCM of denominators i.e. for 529,8299 is 4390171.
Thus, GCF of Fractions is 1/4390171.Finally, GCF of Fractions for 1541/529, 4976/8299 is 1/4390171.