GCF of 6658/138, 8747/1906
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6658/138, 8747/1906 i.e 1/131514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6658/138, 8747/1906.
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 6658/138,8747/1906?
Given fractions are 6658/138,8747/1906
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 6658/138,8747/1906, numerators are 6658,8747
Denominators are 138,1906
The GCF of 6658,8747 is 1 .
LCM of 138,1906 is 131514.
The greatest common factor of 6658/138,8747/1906 = [GCF of 6658,8747]/[LCM of 138,1906]= 1/131514
Therefore, the GCF of 6658/138,8747/1906 is 1/131514.
To find the highest common factor of 6658,8747, we have to find the factors of both numbers and list the highest common factor.
The factors of 6658 are 1, 2, 3329, 6658
The factors of 8747 are 1, 8747
The HCF of 6658,8747 is 1.
Lets's calculate GCF of 6658,8747
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6658,8747 By Matching Biggest Common Factor Method
Now, list down the factors of 6658
:1,2,3329,6658
Now, list down the factors of 8747
:1,8747
Greatest Common Factor
We found the factors 6658,8747 . The biggest common factor number is the GCF number.
So the greatest common factor 6658,8747 is 1.
Lets's calculate LCM of 138,1906
| 2 | 138, 1906 |
| 69, 953 |
∴ So the LCM of the given numbers is 2 x 69 x 953 = 131514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131514
Therefore, the GCF of Fractions 6658/138,8747/1906 is 1/131514
Least Common Multiple of 138,1906 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 138,1906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,1906) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(138,1906) x common factors =2 x 1 = 2
LCM(138,1906) = ( 138 × 1906 ) / 2
LCM(138,1906) = 263028 / 2
LCM(138,1906) = 131514
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FAQs on GCF of Fractions of 6658/138, 8747/1906
1. What is the HCF of 6658,8747?
The HCF of 6658,8747 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 6658/138, 8747/1906?
Answer: GCF of Numerators as per given numbers 6658/138, 8747/1906 is
GCF of Numerators i.e. for 6658,8747 is 1
LCM of denominators i.e. for 138,1906 is 131514.
Thus, GCF of Fractions is 1/131514.Finally, GCF of Fractions for 6658/138, 8747/1906 is 1/131514.