GCF of 35/279, 27/958, 796/726
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 35/279, 27/958, 796/726 i.e 1/32341122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/279, 27/958, 796/726.
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 35/279,27/958,796/726?
Given fractions are 35/279,27/958,796/726
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 35/279,27/958,796/726, numerators are 35,27,796
Denominators are 279,958,726
The GCF of 35,27,796 is 1 .
LCM of 279,958,726 is 32341122.
The greatest common factor of 35/279,27/958,796/726 = [GCF of 35,27,796]/[LCM of 279,958,726]= 1/32341122
Therefore, the GCF of 35/279,27/958,796/726 is 1/32341122.
To find the highest common factor of 35,27,796, we have to find the factors of both numbers and list the highest common factor.
The factors of 35 are 1, 5, 7, 35
The factors of 27 are 1, 3, 9, 27
The factors of 796 are 1, 2, 4, 199, 398, 796
The HCF of 35,27,796 is 1.
Lets's calculate GCF of 35,27,796
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 35,27,796 By Matching Biggest Common Factor Method
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 27
:1,3,9,27
Now, list down the factors of 796
:1,2,4,199,398,796
Greatest Common Factor
We found the factors 35,27,796 . The biggest common factor number is the GCF number.
So the greatest common factor 35,27,796 is 1.
Lets's calculate LCM of 279,958,726
| 2 | 279, 958, 726 |
| 3 | 279, 479, 363 |
| 93, 479, 121 |
∴ So the LCM of the given numbers is 2 x 3 x 93 x 479 x 121 = 32341122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32341122
Therefore, the GCF of Fractions 35/279,27/958,796/726 is 1/32341122
Least Common Multiple of 279,958,726 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 279,958,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,958,726) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(279,958,726) x common factors =1 x 6 = 6
LCM(279,958,726) = ( 279 × 958 × 726 ) / 6
LCM(279,958,726) = 194046732 / 6
LCM(279,958,726) = 32341122
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FAQs on GCF of Fractions of 35/279, 27/958, 796/726
1. What is the HCF of 35,27,796?
The HCF of 35,27,796 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 35/279, 27/958, 796/726?
Answer: GCF of Numerators as per given numbers 35/279, 27/958, 796/726 is
GCF of Numerators i.e. for 35,27,796 is 1
LCM of denominators i.e. for 279,958,726 is 32341122.
Thus, GCF of Fractions is 1/32341122.Finally, GCF of Fractions for 35/279, 27/958, 796/726 is 1/32341122.