GCF of 86/52, 15/734, 488/448
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 86/52, 15/734, 488/448 i.e 1/2137408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/52, 15/734, 488/448.
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 86/52,15/734,488/448?
Given fractions are 86/52,15/734,488/448
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 86/52,15/734,488/448, numerators are 86,15,488
Denominators are 52,734,448
The GCF of 86,15,488 is 1 .
LCM of 52,734,448 is 2137408.
The greatest common factor of 86/52,15/734,488/448 = [GCF of 86,15,488]/[LCM of 52,734,448]= 1/2137408
Therefore, the GCF of 86/52,15/734,488/448 is 1/2137408.
To find the highest common factor of 86,15,488, we have to find the factors of both numbers and list the highest common factor.
The factors of 86 are 1, 2, 43, 86
The factors of 15 are 1, 3, 5, 15
The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488
The HCF of 86,15,488 is 1.
Lets's calculate GCF of 86,15,488
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 86,15,488 By Matching Biggest Common Factor Method
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 15
:1,3,5,15
Now, list down the factors of 488
:1,2,4,8,61,122,244,488
Greatest Common Factor
We found the factors 86,15,488 . The biggest common factor number is the GCF number.
So the greatest common factor 86,15,488 is 1.
Lets's calculate LCM of 52,734,448
| 2 | 52, 734, 448 |
| 2 | 26, 367, 224 |
| 13, 367, 112 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 367 x 112 = 2137408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2137408
Therefore, the GCF of Fractions 86/52,15/734,488/448 is 1/2137408
Least Common Multiple of 52,734,448 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 52,734,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,734,448) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(52,734,448) x common factors =2 x 4 = 8
LCM(52,734,448) = ( 52 × 734 × 448 ) / 8
LCM(52,734,448) = 17099264 / 8
LCM(52,734,448) = 2137408
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FAQs on GCF of Fractions of 86/52, 15/734, 488/448
1. What is the HCF of 86,15,488?
The HCF of 86,15,488 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 86/52, 15/734, 488/448?
Answer: GCF of Numerators as per given numbers 86/52, 15/734, 488/448 is
GCF of Numerators i.e. for 86,15,488 is 1
LCM of denominators i.e. for 52,734,448 is 2137408.
Thus, GCF of Fractions is 1/2137408.Finally, GCF of Fractions for 86/52, 15/734, 488/448 is 1/2137408.