GCF of 86/866, 315/448, 688/548
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 86/866, 315/448, 688/548 i.e 1/26575808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/866, 315/448, 688/548.
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 86/866,315/448,688/548?
Given fractions are 86/866,315/448,688/548
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 86/866,315/448,688/548, numerators are 86,315,688
Denominators are 866,448,548
The GCF of 86,315,688 is 1 .
LCM of 866,448,548 is 26575808.
The greatest common factor of 86/866,315/448,688/548 = [GCF of 86,315,688]/[LCM of 866,448,548]= 1/26575808
Therefore, the GCF of 86/866,315/448,688/548 is 1/26575808.
To find the highest common factor of 86,315,688, 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 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
The factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
The HCF of 86,315,688 is 1.
Lets's calculate GCF of 86,315,688
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 86,315,688 By Matching Biggest Common Factor Method
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 315
:1,3,5,7,9,15,21,35,45,63,105,315
Now, list down the factors of 688
:1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 86,315,688 . The biggest common factor number is the GCF number.
So the greatest common factor 86,315,688 is 1.
Lets's calculate LCM of 866,448,548
| 2 | 866, 448, 548 |
| 2 | 433, 224, 274 |
| 433, 112, 137 |
∴ So the LCM of the given numbers is 2 x 2 x 433 x 112 x 137 = 26575808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26575808
Therefore, the GCF of Fractions 86/866,315/448,688/548 is 1/26575808
Least Common Multiple of 866,448,548 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 866,448,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,448,548) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(866,448,548) x common factors =2 x 4 = 8
LCM(866,448,548) = ( 866 × 448 × 548 ) / 8
LCM(866,448,548) = 212606464 / 8
LCM(866,448,548) = 26575808
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FAQs on GCF of Fractions of 86/866, 315/448, 688/548
1. What is the HCF of 86,315,688?
The HCF of 86,315,688 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 86/866, 315/448, 688/548?
Answer: GCF of Numerators as per given numbers 86/866, 315/448, 688/548 is
GCF of Numerators i.e. for 86,315,688 is 1
LCM of denominators i.e. for 866,448,548 is 26575808.
Thus, GCF of Fractions is 1/26575808.Finally, GCF of Fractions for 86/866, 315/448, 688/548 is 1/26575808.