GCF of 3938/139, 3509/3900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3938/139, 3509/3900 i.e 11/542100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3938/139, 3509/3900.
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 3938/139,3509/3900?
Given fractions are 3938/139,3509/3900
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 3938/139,3509/3900, numerators are 3938,3509
Denominators are 139,3900
The GCF of 3938,3509 is 11 .
LCM of 139,3900 is 542100.
The greatest common factor of 3938/139,3509/3900 = [GCF of 3938,3509]/[LCM of 139,3900]= 11/542100
Therefore, the GCF of 3938/139,3509/3900 is 11/542100.
To find the highest common factor of 3938,3509, 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 3509 are 1, 11, 29, 121, 319, 3509
The HCF of 3938,3509 is 11.
Lets's calculate GCF of 3938,3509
| 11 | 3938, 3509 |
| 358, 319 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 3938,3509 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 3509
:1,11,29,121,319,3509
Greatest Common Factor
We found the factors 3938,3509 . The biggest common factor number is the GCF number.
So the greatest common factor 3938,3509 is 11.
Lets's calculate LCM of 139,3900
Given numbers has no common factors except 1. So, there LCM is their product i.e 542100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/542100
Therefore, the GCF of Fractions 3938/139,3509/3900 is 11/542100
Least Common Multiple of 139,3900 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 139,3900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,3900) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,3900) x common factors =1 x 1 = 1
LCM(139,3900) = ( 139 × 3900 ) / 1
LCM(139,3900) = 542100 / 1
LCM(139,3900) = 542100
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FAQs on GCF of Fractions of 3938/139, 3509/3900
1. What is the HCF of 3938,3509?
The HCF of 3938,3509 is 11
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 3938/139, 3509/3900?
Answer: GCF of Numerators as per given numbers 3938/139, 3509/3900 is
GCF of Numerators i.e. for 3938,3509 is 11
LCM of denominators i.e. for 139,3900 is 542100.
Thus, GCF of Fractions is 11/542100.Finally, GCF of Fractions for 3938/139, 3509/3900 is 11/542100.