GCF of 2686/378, 6708/9855
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2686/378, 6708/9855 i.e 2/137970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2686/378, 6708/9855.
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 2686/378,6708/9855?
Given fractions are 2686/378,6708/9855
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 2686/378,6708/9855, numerators are 2686,6708
Denominators are 378,9855
The GCF of 2686,6708 is 2 .
LCM of 378,9855 is 137970.
The greatest common factor of 2686/378,6708/9855 = [GCF of 2686,6708]/[LCM of 378,9855]= 2/137970
Therefore, the GCF of 2686/378,6708/9855 is 2/137970.
To find the highest common factor of 2686,6708, we have to find the factors of both numbers and list the highest common factor.
The factors of 2686 are 1, 2, 17, 34, 79, 158, 1343, 2686
The factors of 6708 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 43, 52, 78, 86, 129, 156, 172, 258, 516, 559, 1118, 1677, 2236, 3354, 6708
The HCF of 2686,6708 is 2.
Lets's calculate GCF of 2686,6708
| 2 | 2686, 6708 |
| 1343, 3354 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2686,6708 By Matching Biggest Common Factor Method
Now, list down the factors of 2686
:1,2,17,34,79,158,1343,2686
Now, list down the factors of 6708
:1,2,3,4,6,12,13,26,39,43,52,78,86,129,156,172,258,516,559,1118,1677,2236,3354,6708
Greatest Common Factor
We found the factors 2686,6708 . The biggest common factor number is the GCF number.
So the greatest common factor 2686,6708 is 2.
Lets's calculate LCM of 378,9855
| 3 | 378, 9855 |
| 3 | 126, 3285 |
| 3 | 42, 1095 |
| 14, 365 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 14 x 365 = 137970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/137970
Therefore, the GCF of Fractions 2686/378,6708/9855 is 2/137970
Least Common Multiple of 378,9855 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 378,9855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,9855) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(378,9855) x common factors =27 x 1 = 27
LCM(378,9855) = ( 378 × 9855 ) / 27
LCM(378,9855) = 3725190 / 27
LCM(378,9855) = 137970
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FAQs on GCF of Fractions of 2686/378, 6708/9855
1. What is the HCF of 2686,6708?
The HCF of 2686,6708 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 2686/378, 6708/9855?
Answer: GCF of Numerators as per given numbers 2686/378, 6708/9855 is
GCF of Numerators i.e. for 2686,6708 is 2
LCM of denominators i.e. for 378,9855 is 137970.
Thus, GCF of Fractions is 2/137970.Finally, GCF of Fractions for 2686/378, 6708/9855 is 2/137970.