GCF of 665/271, 5852/726
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 665/271, 5852/726 i.e 133/196746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 665/271, 5852/726.
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 665/271,5852/726?
Given fractions are 665/271,5852/726
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 665/271,5852/726, numerators are 665,5852
Denominators are 271,726
The GCF of 665,5852 is 133 .
LCM of 271,726 is 196746.
The greatest common factor of 665/271,5852/726 = [GCF of 665,5852]/[LCM of 271,726]= 133/196746
Therefore, the GCF of 665/271,5852/726 is 133/196746.
To find the highest common factor of 665,5852, we have to find the factors of both numbers and list the highest common factor.
The factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665
The factors of 5852 are 1, 2, 4, 7, 11, 14, 19, 22, 28, 38, 44, 76, 77, 133, 154, 209, 266, 308, 418, 532, 836, 1463, 2926, 5852
The HCF of 665,5852 is 133.
Lets's calculate GCF of 665,5852
| 7 | 665, 5852 |
| 19 | 95, 836 |
| 5, 44 |
∴ So the GCF of the given numbers is 7 x 19 = 133
Greatest Common Factor of 665,5852 By Matching Biggest Common Factor Method
Now, list down the factors of 665
:1,5,7,19,35,95,133,665
Now, list down the factors of 5852
:1,2,4,7,11,14,19,22,28,38,44,76,77,133,154,209,266,308,418,532,836,1463,2926,5852
Greatest Common Factor
We found the factors 665,5852 . The biggest common factor number is the GCF number.
So the greatest common factor 665,5852 is 133.
Lets's calculate LCM of 271,726
Given numbers has no common factors except 1. So, there LCM is their product i.e 196746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 133/196746
Therefore, the GCF of Fractions 665/271,5852/726 is 133/196746
Least Common Multiple of 271,726 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 271,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,726) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,726) x common factors =1 x 1 = 1
LCM(271,726) = ( 271 × 726 ) / 1
LCM(271,726) = 196746 / 1
LCM(271,726) = 196746
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FAQs on GCF of Fractions of 665/271, 5852/726
1. What is the HCF of 665,5852?
The HCF of 665,5852 is 133
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 665/271, 5852/726?
Answer: GCF of Numerators as per given numbers 665/271, 5852/726 is
GCF of Numerators i.e. for 665,5852 is 133
LCM of denominators i.e. for 271,726 is 196746.
Thus, GCF of Fractions is 133/196746.Finally, GCF of Fractions for 665/271, 5852/726 is 133/196746.