GCF of 866/608, 804/320, 678/280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 866/608, 804/320, 678/280 i.e 2/42560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 866/608, 804/320, 678/280.
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 866/608,804/320,678/280?
Given fractions are 866/608,804/320,678/280
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 866/608,804/320,678/280, numerators are 866,804,678
Denominators are 608,320,280
The GCF of 866,804,678 is 2 .
LCM of 608,320,280 is 42560.
The greatest common factor of 866/608,804/320,678/280 = [GCF of 866,804,678]/[LCM of 608,320,280]= 2/42560
Therefore, the GCF of 866/608,804/320,678/280 is 2/42560.
To find the highest common factor of 866,804,678, we have to find the factors of both numbers and list the highest common factor.
The factors of 866 are 1, 2, 433, 866
The factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
The factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678
The HCF of 866,804,678 is 2.
Lets's calculate GCF of 866,804,678
| 2 | 866, 804, 678 |
| 433, 402, 339 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 866,804,678 By Matching Biggest Common Factor Method
Now, list down the factors of 866
:1,2,433,866
Now, list down the factors of 804
:1,2,3,4,6,12,67,134,201,268,402,804
Now, list down the factors of 678
:1,2,3,6,113,226,339,678
Greatest Common Factor
We found the factors 866,804,678 . The biggest common factor number is the GCF number.
So the greatest common factor 866,804,678 is 2.
Lets's calculate LCM of 608,320,280
| 2 | 608, 320, 280 |
| 2 | 304, 160, 140 |
| 2 | 152, 80, 70 |
| 2 | 76, 40, 35 |
| 2 | 38, 20, 35 |
| 5 | 19, 10, 35 |
| 19, 2, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 5 x 19 x 2 x 7 = 42560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/42560
Therefore, the GCF of Fractions 866/608,804/320,678/280 is 2/42560
Least Common Multiple of 608,320,280 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 608,320,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,320,280) = 8
common factors(in case of two or more numbers have common factors) = 160
GCF(608,320,280) x common factors =8 x 160 = 1280
LCM(608,320,280) = ( 608 × 320 × 280 ) / 1280
LCM(608,320,280) = 54476800 / 1280
LCM(608,320,280) = 42560
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FAQs on GCF of Fractions of 866/608, 804/320, 678/280
1. What is the HCF of 866,804,678?
The HCF of 866,804,678 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 866/608, 804/320, 678/280?
Answer: GCF of Numerators as per given numbers 866/608, 804/320, 678/280 is
GCF of Numerators i.e. for 866,804,678 is 2
LCM of denominators i.e. for 608,320,280 is 42560.
Thus, GCF of Fractions is 2/42560.Finally, GCF of Fractions for 866/608, 804/320, 678/280 is 2/42560.