GCF of 9739/337, 3738/9953
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9739/337, 3738/9953 i.e 1/3354161 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9739/337, 3738/9953.
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 9739/337,3738/9953?
Given fractions are 9739/337,3738/9953
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 9739/337,3738/9953, numerators are 9739,3738
Denominators are 337,9953
The GCF of 9739,3738 is 1 .
LCM of 337,9953 is 3354161.
The greatest common factor of 9739/337,3738/9953 = [GCF of 9739,3738]/[LCM of 337,9953]= 1/3354161
Therefore, the GCF of 9739/337,3738/9953 is 1/3354161.
To find the highest common factor of 9739,3738, we have to find the factors of both numbers and list the highest common factor.
The factors of 9739 are 1, 9739
The factors of 3738 are 1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869, 3738
The HCF of 9739,3738 is 1.
Lets's calculate GCF of 9739,3738
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9739,3738 By Matching Biggest Common Factor Method
Now, list down the factors of 9739
:1,9739
Now, list down the factors of 3738
:1,2,3,6,7,14,21,42,89,178,267,534,623,1246,1869,3738
Greatest Common Factor
We found the factors 9739,3738 . The biggest common factor number is the GCF number.
So the greatest common factor 9739,3738 is 1.
Lets's calculate LCM of 337,9953
Given numbers has no common factors except 1. So, there LCM is their product i.e 3354161
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3354161
Therefore, the GCF of Fractions 9739/337,3738/9953 is 1/3354161
Least Common Multiple of 337,9953 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 337,9953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,9953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,9953) x common factors =1 x 1 = 1
LCM(337,9953) = ( 337 × 9953 ) / 1
LCM(337,9953) = 3354161 / 1
LCM(337,9953) = 3354161
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FAQs on GCF of Fractions of 9739/337, 3738/9953
1. What is the HCF of 9739,3738?
The HCF of 9739,3738 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 9739/337, 3738/9953?
Answer: GCF of Numerators as per given numbers 9739/337, 3738/9953 is
GCF of Numerators i.e. for 9739,3738 is 1
LCM of denominators i.e. for 337,9953 is 3354161.
Thus, GCF of Fractions is 1/3354161.Finally, GCF of Fractions for 9739/337, 3738/9953 is 1/3354161.