GCF of 132/270, 8789/3412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 132/270, 8789/3412 i.e 11/460620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 132/270, 8789/3412.
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 132/270,8789/3412?
Given fractions are 132/270,8789/3412
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 132/270,8789/3412, numerators are 132,8789
Denominators are 270,3412
The GCF of 132,8789 is 11 .
LCM of 270,3412 is 460620.
The greatest common factor of 132/270,8789/3412 = [GCF of 132,8789]/[LCM of 270,3412]= 11/460620
Therefore, the GCF of 132/270,8789/3412 is 11/460620.
To find the highest common factor of 132,8789, we have to find the factors of both numbers and list the highest common factor.
The factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
The factors of 8789 are 1, 11, 17, 47, 187, 517, 799, 8789
The HCF of 132,8789 is 11.
Lets's calculate GCF of 132,8789
| 11 | 132, 8789 |
| 12, 799 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 132,8789 By Matching Biggest Common Factor Method
Now, list down the factors of 132
:1,2,3,4,6,11,12,22,33,44,66,132
Now, list down the factors of 8789
:1,11,17,47,187,517,799,8789
Greatest Common Factor
We found the factors 132,8789 . The biggest common factor number is the GCF number.
So the greatest common factor 132,8789 is 11.
Lets's calculate LCM of 270,3412
| 2 | 270, 3412 |
| 135, 1706 |
∴ So the LCM of the given numbers is 2 x 135 x 1706 = 460620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/460620
Therefore, the GCF of Fractions 132/270,8789/3412 is 11/460620
Least Common Multiple of 270,3412 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 270,3412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,3412) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(270,3412) x common factors =2 x 1 = 2
LCM(270,3412) = ( 270 × 3412 ) / 2
LCM(270,3412) = 921240 / 2
LCM(270,3412) = 460620
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FAQs on GCF of Fractions of 132/270, 8789/3412
1. What is the HCF of 132,8789?
The HCF of 132,8789 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 132/270, 8789/3412?
Answer: GCF of Numerators as per given numbers 132/270, 8789/3412 is
GCF of Numerators i.e. for 132,8789 is 11
LCM of denominators i.e. for 270,3412 is 460620.
Thus, GCF of Fractions is 11/460620.Finally, GCF of Fractions for 132/270, 8789/3412 is 11/460620.