GCF of 132/717, 521/642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 132/717, 521/642 i.e 1/153438 easily. The following is the detailed procedure to determine the greatest common factor of fractions 132/717, 521/642.
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 132/717,521/642?
Given fractions are 132/717,521/642
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 132/717,521/642, numerators are 132,521
Denominators are 717,642
The GCF of 132,521 is 1 .
LCM of 717,642 is 153438.
The greatest common factor of 132/717,521/642 = [GCF of 132,521]/[LCM of 717,642]= 1/153438
Therefore, the GCF of 132/717,521/642 is 1/153438.
To find the highest common factor of 132,521, 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 521 are 1, 521
The HCF of 132,521 is 1.
Lets's calculate GCF of 132,521
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 132,521 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 521
:1,521
Greatest Common Factor
We found the factors 132,521 . The biggest common factor number is the GCF number.
So the greatest common factor 132,521 is 1.
Lets's calculate LCM of 717,642
| 3 | 717, 642 |
| 239, 214 |
∴ So the LCM of the given numbers is 3 x 239 x 214 = 153438
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153438
Therefore, the GCF of Fractions 132/717,521/642 is 1/153438
Least Common Multiple of 717,642 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 717,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,642) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(717,642) x common factors =3 x 1 = 3
LCM(717,642) = ( 717 × 642 ) / 3
LCM(717,642) = 460314 / 3
LCM(717,642) = 153438
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FAQs on GCF of Fractions of 132/717, 521/642
1. What is the HCF of 132,521?
The HCF of 132,521 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 132/717, 521/642?
Answer: GCF of Numerators as per given numbers 132/717, 521/642 is
GCF of Numerators i.e. for 132,521 is 1
LCM of denominators i.e. for 717,642 is 153438.
Thus, GCF of Fractions is 1/153438.Finally, GCF of Fractions for 132/717, 521/642 is 1/153438.