GCF of 290/168, 282/993, 678/540
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 290/168, 282/993, 678/540 i.e 2/2502360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 290/168, 282/993, 678/540.
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 290/168,282/993,678/540?
Given fractions are 290/168,282/993,678/540
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 290/168,282/993,678/540, numerators are 290,282,678
Denominators are 168,993,540
The GCF of 290,282,678 is 2 .
LCM of 168,993,540 is 2502360.
The greatest common factor of 290/168,282/993,678/540 = [GCF of 290,282,678]/[LCM of 168,993,540]= 2/2502360
Therefore, the GCF of 290/168,282/993,678/540 is 2/2502360.
To find the highest common factor of 290,282,678, we have to find the factors of both numbers and list the highest common factor.
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282
The factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678
The HCF of 290,282,678 is 2.
Lets's calculate GCF of 290,282,678
| 2 | 290, 282, 678 |
| 145, 141, 339 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 290,282,678 By Matching Biggest Common Factor Method
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Now, list down the factors of 282
:1,2,3,6,47,94,141,282
Now, list down the factors of 678
:1,2,3,6,113,226,339,678
Greatest Common Factor
We found the factors 290,282,678 . The biggest common factor number is the GCF number.
So the greatest common factor 290,282,678 is 2.
Lets's calculate LCM of 168,993,540
| 2 | 168, 993, 540 |
| 2 | 84, 993, 270 |
| 3 | 42, 993, 135 |
| 14, 331, 45 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 14 x 331 x 45 = 2502360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2502360
Therefore, the GCF of Fractions 290/168,282/993,678/540 is 2/2502360
Least Common Multiple of 168,993,540 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 168,993,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,993,540) = 3
common factors(in case of two or more numbers have common factors) = 12
GCF(168,993,540) x common factors =3 x 12 = 36
LCM(168,993,540) = ( 168 × 993 × 540 ) / 36
LCM(168,993,540) = 90084960 / 36
LCM(168,993,540) = 2502360
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FAQs on GCF of Fractions of 290/168, 282/993, 678/540
1. What is the HCF of 290,282,678?
The HCF of 290,282,678 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 290/168, 282/993, 678/540?
Answer: GCF of Numerators as per given numbers 290/168, 282/993, 678/540 is
GCF of Numerators i.e. for 290,282,678 is 2
LCM of denominators i.e. for 168,993,540 is 2502360.
Thus, GCF of Fractions is 2/2502360.Finally, GCF of Fractions for 290/168, 282/993, 678/540 is 2/2502360.