GCF of 3766/138, 8928/729
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3766/138, 8928/729 i.e 2/33534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3766/138, 8928/729.
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 3766/138,8928/729?
Given fractions are 3766/138,8928/729
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 3766/138,8928/729, numerators are 3766,8928
Denominators are 138,729
The GCF of 3766,8928 is 2 .
LCM of 138,729 is 33534.
The greatest common factor of 3766/138,8928/729 = [GCF of 3766,8928]/[LCM of 138,729]= 2/33534
Therefore, the GCF of 3766/138,8928/729 is 2/33534.
To find the highest common factor of 3766,8928, we have to find the factors of both numbers and list the highest common factor.
The factors of 3766 are 1, 2, 7, 14, 269, 538, 1883, 3766
The factors of 8928 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 32, 36, 48, 62, 72, 93, 96, 124, 144, 186, 248, 279, 288, 372, 496, 558, 744, 992, 1116, 1488, 2232, 2976, 4464, 8928
The HCF of 3766,8928 is 2.
Lets's calculate GCF of 3766,8928
| 2 | 3766, 8928 |
| 1883, 4464 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3766,8928 By Matching Biggest Common Factor Method
Now, list down the factors of 3766
:1,2,7,14,269,538,1883,3766
Now, list down the factors of 8928
:1,2,3,4,6,8,9,12,16,18,24,31,32,36,48,62,72,93,96,124,144,186,248,279,288,372,496,558,744,992,1116,1488,2232,2976,4464,8928
Greatest Common Factor
We found the factors 3766,8928 . The biggest common factor number is the GCF number.
So the greatest common factor 3766,8928 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 3766/138,8928/729 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 3766/138, 8928/729
1. What is the HCF of 3766,8928?
The HCF of 3766,8928 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 3766/138, 8928/729?
Answer: GCF of Numerators as per given numbers 3766/138, 8928/729 is
GCF of Numerators i.e. for 3766,8928 is 2
LCM of denominators i.e. for 138,729 is 33534.
Thus, GCF of Fractions is 2/33534.Finally, GCF of Fractions for 3766/138, 8928/729 is 2/33534.