GCF of 4393/831, 7582/1682
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4393/831, 7582/1682 i.e 1/1397742 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4393/831, 7582/1682.
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 4393/831,7582/1682?
Given fractions are 4393/831,7582/1682
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 4393/831,7582/1682, numerators are 4393,7582
Denominators are 831,1682
The GCF of 4393,7582 is 1 .
LCM of 831,1682 is 1397742.
The greatest common factor of 4393/831,7582/1682 = [GCF of 4393,7582]/[LCM of 831,1682]= 1/1397742
Therefore, the GCF of 4393/831,7582/1682 is 1/1397742.
To find the highest common factor of 4393,7582, we have to find the factors of both numbers and list the highest common factor.
The factors of 4393 are 1, 23, 191, 4393
The factors of 7582 are 1, 2, 17, 34, 223, 446, 3791, 7582
The HCF of 4393,7582 is 1.
Lets's calculate GCF of 4393,7582
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4393,7582 By Matching Biggest Common Factor Method
Now, list down the factors of 4393
:1,23,191,4393
Now, list down the factors of 7582
:1,2,17,34,223,446,3791,7582
Greatest Common Factor
We found the factors 4393,7582 . The biggest common factor number is the GCF number.
So the greatest common factor 4393,7582 is 1.
Lets's calculate LCM of 831,1682
Given numbers has no common factors except 1. So, there LCM is their product i.e 1397742
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1397742
Therefore, the GCF of Fractions 4393/831,7582/1682 is 1/1397742
Least Common Multiple of 831,1682 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 831,1682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,1682) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(831,1682) x common factors =1 x 1 = 1
LCM(831,1682) = ( 831 × 1682 ) / 1
LCM(831,1682) = 1397742 / 1
LCM(831,1682) = 1397742
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4393/831, 7582/1682
1. What is the HCF of 4393,7582?
The HCF of 4393,7582 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 4393/831, 7582/1682?
Answer: GCF of Numerators as per given numbers 4393/831, 7582/1682 is
GCF of Numerators i.e. for 4393,7582 is 1
LCM of denominators i.e. for 831,1682 is 1397742.
Thus, GCF of Fractions is 1/1397742.Finally, GCF of Fractions for 4393/831, 7582/1682 is 1/1397742.