GCF of 26/345, 86/138, 496/585
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 26/345, 86/138, 496/585 i.e 2/26910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 26/345, 86/138, 496/585.
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 26/345,86/138,496/585?
Given fractions are 26/345,86/138,496/585
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 26/345,86/138,496/585, numerators are 26,86,496
Denominators are 345,138,585
The GCF of 26,86,496 is 2 .
LCM of 345,138,585 is 26910.
The greatest common factor of 26/345,86/138,496/585 = [GCF of 26,86,496]/[LCM of 345,138,585]= 2/26910
Therefore, the GCF of 26/345,86/138,496/585 is 2/26910.
To find the highest common factor of 26,86,496, we have to find the factors of both numbers and list the highest common factor.
The factors of 26 are 1, 2, 13, 26
The factors of 86 are 1, 2, 43, 86
The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
The HCF of 26,86,496 is 2.
Lets's calculate GCF of 26,86,496
| 2 | 26, 86, 496 |
| 13, 43, 248 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 26,86,496 By Matching Biggest Common Factor Method
Now, list down the factors of 26
:1,2,13,26
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 496
:1,2,4,8,16,31,62,124,248,496
Greatest Common Factor
We found the factors 26,86,496 . The biggest common factor number is the GCF number.
So the greatest common factor 26,86,496 is 2.
Lets's calculate LCM of 345,138,585
| 3 | 345, 138, 585 |
| 5 | 115, 46, 195 |
| 23 | 23, 46, 39 |
| 1, 2, 39 |
∴ So the LCM of the given numbers is 3 x 5 x 23 x 1 x 2 x 39 = 26910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26910
Therefore, the GCF of Fractions 26/345,86/138,496/585 is 2/26910
Least Common Multiple of 345,138,585 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 345,138,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,138,585) = 3
common factors(in case of two or more numbers have common factors) = 345
GCF(345,138,585) x common factors =3 x 345 = 1035
LCM(345,138,585) = ( 345 × 138 × 585 ) / 1035
LCM(345,138,585) = 27851850 / 1035
LCM(345,138,585) = 26910
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FAQs on GCF of Fractions of 26/345, 86/138, 496/585
1. What is the HCF of 26,86,496?
The HCF of 26,86,496 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 26/345, 86/138, 496/585?
Answer: GCF of Numerators as per given numbers 26/345, 86/138, 496/585 is
GCF of Numerators i.e. for 26,86,496 is 2
LCM of denominators i.e. for 345,138,585 is 26910.
Thus, GCF of Fractions is 2/26910.Finally, GCF of Fractions for 26/345, 86/138, 496/585 is 2/26910.