GCF of 3007/831, 4398/1682
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3007/831, 4398/1682 i.e 1/1397742 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3007/831, 4398/1682.
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 3007/831,4398/1682?
Given fractions are 3007/831,4398/1682
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 3007/831,4398/1682, numerators are 3007,4398
Denominators are 831,1682
The GCF of 3007,4398 is 1 .
LCM of 831,1682 is 1397742.
The greatest common factor of 3007/831,4398/1682 = [GCF of 3007,4398]/[LCM of 831,1682]= 1/1397742
Therefore, the GCF of 3007/831,4398/1682 is 1/1397742.
To find the highest common factor of 3007,4398, we have to find the factors of both numbers and list the highest common factor.
The factors of 3007 are 1, 31, 97, 3007
The factors of 4398 are 1, 2, 3, 6, 733, 1466, 2199, 4398
The HCF of 3007,4398 is 1.
Lets's calculate GCF of 3007,4398
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3007,4398 By Matching Biggest Common Factor Method
Now, list down the factors of 3007
:1,31,97,3007
Now, list down the factors of 4398
:1,2,3,6,733,1466,2199,4398
Greatest Common Factor
We found the factors 3007,4398 . The biggest common factor number is the GCF number.
So the greatest common factor 3007,4398 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 3007/831,4398/1682 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
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FAQs on GCF of Fractions of 3007/831, 4398/1682
1. What is the HCF of 3007,4398?
The HCF of 3007,4398 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 3007/831, 4398/1682?
Answer: GCF of Numerators as per given numbers 3007/831, 4398/1682 is
GCF of Numerators i.e. for 3007,4398 is 1
LCM of denominators i.e. for 831,1682 is 1397742.
Thus, GCF of Fractions is 1/1397742.Finally, GCF of Fractions for 3007/831, 4398/1682 is 1/1397742.