GCF of 86/270, 451/222, 532/148
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 86/270, 451/222, 532/148 i.e 1/19980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/270, 451/222, 532/148.
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 86/270,451/222,532/148?
Given fractions are 86/270,451/222,532/148
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 86/270,451/222,532/148, numerators are 86,451,532
Denominators are 270,222,148
The GCF of 86,451,532 is 1 .
LCM of 270,222,148 is 19980.
The greatest common factor of 86/270,451/222,532/148 = [GCF of 86,451,532]/[LCM of 270,222,148]= 1/19980
Therefore, the GCF of 86/270,451/222,532/148 is 1/19980.
To find the highest common factor of 86,451,532, 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 451 are 1, 11, 41, 451
The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
The HCF of 86,451,532 is 1.
Lets's calculate GCF of 86,451,532
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 86,451,532 By Matching Biggest Common Factor Method
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 451
:1,11,41,451
Now, list down the factors of 532
:1,2,4,7,14,19,28,38,76,133,266,532
Greatest Common Factor
We found the factors 86,451,532 . The biggest common factor number is the GCF number.
So the greatest common factor 86,451,532 is 1.
Lets's calculate LCM of 270,222,148
| 2 | 270, 222, 148 |
| 3 | 135, 111, 74 |
| 37 | 45, 37, 74 |
| 45, 1, 2 |
∴ So the LCM of the given numbers is 2 x 3 x 37 x 45 x 1 x 2 = 19980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19980
Therefore, the GCF of Fractions 86/270,451/222,532/148 is 1/19980
Least Common Multiple of 270,222,148 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 270,222,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,222,148) = 2
common factors(in case of two or more numbers have common factors) = 222
GCF(270,222,148) x common factors =2 x 222 = 444
LCM(270,222,148) = ( 270 × 222 × 148 ) / 444
LCM(270,222,148) = 8871120 / 444
LCM(270,222,148) = 19980
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FAQs on GCF of Fractions of 86/270, 451/222, 532/148
1. What is the HCF of 86,451,532?
The HCF of 86,451,532 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 86/270, 451/222, 532/148?
Answer: GCF of Numerators as per given numbers 86/270, 451/222, 532/148 is
GCF of Numerators i.e. for 86,451,532 is 1
LCM of denominators i.e. for 270,222,148 is 19980.
Thus, GCF of Fractions is 1/19980.Finally, GCF of Fractions for 86/270, 451/222, 532/148 is 1/19980.