GCF of 3938/293, 1245/5120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3938/293, 1245/5120 i.e 1/1500160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3938/293, 1245/5120.
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 3938/293,1245/5120?
Given fractions are 3938/293,1245/5120
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 3938/293,1245/5120, numerators are 3938,1245
Denominators are 293,5120
The GCF of 3938,1245 is 1 .
LCM of 293,5120 is 1500160.
The greatest common factor of 3938/293,1245/5120 = [GCF of 3938,1245]/[LCM of 293,5120]= 1/1500160
Therefore, the GCF of 3938/293,1245/5120 is 1/1500160.
To find the highest common factor of 3938,1245, we have to find the factors of both numbers and list the highest common factor.
The factors of 3938 are 1, 2, 11, 22, 179, 358, 1969, 3938
The factors of 1245 are 1, 3, 5, 15, 83, 249, 415, 1245
The HCF of 3938,1245 is 1.
Lets's calculate GCF of 3938,1245
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3938,1245 By Matching Biggest Common Factor Method
Now, list down the factors of 3938
:1,2,11,22,179,358,1969,3938
Now, list down the factors of 1245
:1,3,5,15,83,249,415,1245
Greatest Common Factor
We found the factors 3938,1245 . The biggest common factor number is the GCF number.
So the greatest common factor 3938,1245 is 1.
Lets's calculate LCM of 293,5120
Given numbers has no common factors except 1. So, there LCM is their product i.e 1500160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1500160
Therefore, the GCF of Fractions 3938/293,1245/5120 is 1/1500160
Least Common Multiple of 293,5120 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 293,5120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,5120) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,5120) x common factors =1 x 1 = 1
LCM(293,5120) = ( 293 × 5120 ) / 1
LCM(293,5120) = 1500160 / 1
LCM(293,5120) = 1500160
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FAQs on GCF of Fractions of 3938/293, 1245/5120
1. What is the HCF of 3938,1245?
The HCF of 3938,1245 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 3938/293, 1245/5120?
Answer: GCF of Numerators as per given numbers 3938/293, 1245/5120 is
GCF of Numerators i.e. for 3938,1245 is 1
LCM of denominators i.e. for 293,5120 is 1500160.
Thus, GCF of Fractions is 1/1500160.Finally, GCF of Fractions for 3938/293, 1245/5120 is 1/1500160.