GCF of 2/87, 106/63, 488/87
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2/87, 106/63, 488/87 i.e 2/1827 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2/87, 106/63, 488/87.
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 2/87,106/63,488/87?
Given fractions are 2/87,106/63,488/87
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 2/87,106/63,488/87, numerators are 2,106,488
Denominators are 87,63,87
The GCF of 2,106,488 is 2 .
LCM of 87,63,87 is 1827.
The greatest common factor of 2/87,106/63,488/87 = [GCF of 2,106,488]/[LCM of 87,63,87]= 2/1827
Therefore, the GCF of 2/87,106/63,488/87 is 2/1827.
To find the highest common factor of 2,106,488, we have to find the factors of both numbers and list the highest common factor.
The factors of 2 are 1, 2
The factors of 106 are 1, 2, 53, 106
The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488
The HCF of 2,106,488 is 2.
Lets's calculate GCF of 2,106,488
| 2 | 2, 106, 488 |
| 1, 53, 244 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2,106,488 By Matching Biggest Common Factor Method
Now, list down the factors of 2
:1,2
Now, list down the factors of 106
:1,2,53,106
Now, list down the factors of 488
:1,2,4,8,61,122,244,488
Greatest Common Factor
We found the factors 2,106,488 . The biggest common factor number is the GCF number.
So the greatest common factor 2,106,488 is 2.
Lets's calculate LCM of 87,63,87
| 3 | 87, 63, 87 |
| 29 | 29, 21, 29 |
| 1, 21, 1 |
∴ So the LCM of the given numbers is 3 x 29 x 1 x 21 x 1 = 1827
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1827
Therefore, the GCF of Fractions 2/87,106/63,488/87 is 2/1827
Least Common Multiple of 87,63,87 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 87,63,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,63,87) = 3
common factors(in case of two or more numbers have common factors) = 87
GCF(87,63,87) x common factors =3 x 87 = 261
LCM(87,63,87) = ( 87 × 63 × 87 ) / 261
LCM(87,63,87) = 476847 / 261
LCM(87,63,87) = 1827
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FAQs on GCF of Fractions of 2/87, 106/63, 488/87
1. What is the HCF of 2,106,488?
The HCF of 2,106,488 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 2/87, 106/63, 488/87?
Answer: GCF of Numerators as per given numbers 2/87, 106/63, 488/87 is
GCF of Numerators i.e. for 2,106,488 is 2
LCM of denominators i.e. for 87,63,87 is 1827.
Thus, GCF of Fractions is 2/1827.Finally, GCF of Fractions for 2/87, 106/63, 488/87 is 2/1827.