GCF of 4426/138, 9206/729
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4426/138, 9206/729 i.e 2/33534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4426/138, 9206/729.
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 4426/138,9206/729?
Given fractions are 4426/138,9206/729
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 4426/138,9206/729, numerators are 4426,9206
Denominators are 138,729
The GCF of 4426,9206 is 2 .
LCM of 138,729 is 33534.
The greatest common factor of 4426/138,9206/729 = [GCF of 4426,9206]/[LCM of 138,729]= 2/33534
Therefore, the GCF of 4426/138,9206/729 is 2/33534.
To find the highest common factor of 4426,9206, we have to find the factors of both numbers and list the highest common factor.
The factors of 4426 are 1, 2, 2213, 4426
The factors of 9206 are 1, 2, 4603, 9206
The HCF of 4426,9206 is 2.
Lets's calculate GCF of 4426,9206
| 2 | 4426, 9206 |
| 2213, 4603 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4426,9206 By Matching Biggest Common Factor Method
Now, list down the factors of 4426
:1,2,2213,4426
Now, list down the factors of 9206
:1,2,4603,9206
Greatest Common Factor
We found the factors 4426,9206 . The biggest common factor number is the GCF number.
So the greatest common factor 4426,9206 is 2.
Lets's calculate LCM of 138,729
| 3 | 138, 729 |
| 46, 243 |
∴ So the LCM of the given numbers is 3 x 46 x 243 = 33534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33534
Therefore, the GCF of Fractions 4426/138,9206/729 is 2/33534
Least Common Multiple of 138,729 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 138,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,729) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(138,729) x common factors =3 x 1 = 3
LCM(138,729) = ( 138 × 729 ) / 3
LCM(138,729) = 100602 / 3
LCM(138,729) = 33534
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FAQs on GCF of Fractions of 4426/138, 9206/729
1. What is the HCF of 4426,9206?
The HCF of 4426,9206 is 2
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 4426/138, 9206/729?
Answer: GCF of Numerators as per given numbers 4426/138, 9206/729 is
GCF of Numerators i.e. for 4426,9206 is 2
LCM of denominators i.e. for 138,729 is 33534.
Thus, GCF of Fractions is 2/33534.Finally, GCF of Fractions for 4426/138, 9206/729 is 2/33534.