GCF of 86/71, 917/64, 452/500
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 86/71, 917/64, 452/500 i.e 1/568000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/71, 917/64, 452/500.
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 86/71,917/64,452/500?
Given fractions are 86/71,917/64,452/500
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 86/71,917/64,452/500, numerators are 86,917,452
Denominators are 71,64,500
The GCF of 86,917,452 is 1 .
LCM of 71,64,500 is 568000.
The greatest common factor of 86/71,917/64,452/500 = [GCF of 86,917,452]/[LCM of 71,64,500]= 1/568000
Therefore, the GCF of 86/71,917/64,452/500 is 1/568000.
To find the highest common factor of 86,917,452, 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 917 are 1, 7, 131, 917
The factors of 452 are 1, 2, 4, 113, 226, 452
The HCF of 86,917,452 is 1.
Lets's calculate GCF of 86,917,452
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 86,917,452 By Matching Biggest Common Factor Method
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 917
:1,7,131,917
Now, list down the factors of 452
:1,2,4,113,226,452
Greatest Common Factor
We found the factors 86,917,452 . The biggest common factor number is the GCF number.
So the greatest common factor 86,917,452 is 1.
Lets's calculate LCM of 71,64,500
| 2 | 71, 64, 500 |
| 2 | 71, 32, 250 |
| 71, 16, 125 |
∴ So the LCM of the given numbers is 2 x 2 x 71 x 16 x 125 = 568000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/568000
Therefore, the GCF of Fractions 86/71,917/64,452/500 is 1/568000
Least Common Multiple of 71,64,500 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 71,64,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,64,500) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(71,64,500) x common factors =1 x 4 = 4
LCM(71,64,500) = ( 71 × 64 × 500 ) / 4
LCM(71,64,500) = 2272000 / 4
LCM(71,64,500) = 568000
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FAQs on GCF of Fractions of 86/71, 917/64, 452/500
1. What is the HCF of 86,917,452?
The HCF of 86,917,452 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 86/71, 917/64, 452/500?
Answer: GCF of Numerators as per given numbers 86/71, 917/64, 452/500 is
GCF of Numerators i.e. for 86,917,452 is 1
LCM of denominators i.e. for 71,64,500 is 568000.
Thus, GCF of Fractions is 1/568000.Finally, GCF of Fractions for 86/71, 917/64, 452/500 is 1/568000.