GCF of 3941/481, 8532/898
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3941/481, 8532/898 i.e 1/431938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3941/481, 8532/898.
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 3941/481,8532/898?
Given fractions are 3941/481,8532/898
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 3941/481,8532/898, numerators are 3941,8532
Denominators are 481,898
The GCF of 3941,8532 is 1 .
LCM of 481,898 is 431938.
The greatest common factor of 3941/481,8532/898 = [GCF of 3941,8532]/[LCM of 481,898]= 1/431938
Therefore, the GCF of 3941/481,8532/898 is 1/431938.
To find the highest common factor of 3941,8532, we have to find the factors of both numbers and list the highest common factor.
The factors of 3941 are 1, 7, 563, 3941
The factors of 8532 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 79, 108, 158, 237, 316, 474, 711, 948, 1422, 2133, 2844, 4266, 8532
The HCF of 3941,8532 is 1.
Lets's calculate GCF of 3941,8532
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3941,8532 By Matching Biggest Common Factor Method
Now, list down the factors of 3941
:1,7,563,3941
Now, list down the factors of 8532
:1,2,3,4,6,9,12,18,27,36,54,79,108,158,237,316,474,711,948,1422,2133,2844,4266,8532
Greatest Common Factor
We found the factors 3941,8532 . The biggest common factor number is the GCF number.
So the greatest common factor 3941,8532 is 1.
Lets's calculate LCM of 481,898
Given numbers has no common factors except 1. So, there LCM is their product i.e 431938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/431938
Therefore, the GCF of Fractions 3941/481,8532/898 is 1/431938
Least Common Multiple of 481,898 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 481,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(481,898) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(481,898) x common factors =1 x 1 = 1
LCM(481,898) = ( 481 × 898 ) / 1
LCM(481,898) = 431938 / 1
LCM(481,898) = 431938
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FAQs on GCF of Fractions of 3941/481, 8532/898
1. What is the HCF of 3941,8532?
The HCF of 3941,8532 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 3941/481, 8532/898?
Answer: GCF of Numerators as per given numbers 3941/481, 8532/898 is
GCF of Numerators i.e. for 3941,8532 is 1
LCM of denominators i.e. for 481,898 is 431938.
Thus, GCF of Fractions is 1/431938.Finally, GCF of Fractions for 3941/481, 8532/898 is 1/431938.