GCF of 3868/684, 2760/388
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3868/684, 2760/388 i.e 4/66348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3868/684, 2760/388.
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 3868/684,2760/388?
Given fractions are 3868/684,2760/388
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 3868/684,2760/388, numerators are 3868,2760
Denominators are 684,388
The GCF of 3868,2760 is 4 .
LCM of 684,388 is 66348.
The greatest common factor of 3868/684,2760/388 = [GCF of 3868,2760]/[LCM of 684,388]= 4/66348
Therefore, the GCF of 3868/684,2760/388 is 4/66348.
To find the highest common factor of 3868,2760, we have to find the factors of both numbers and list the highest common factor.
The factors of 3868 are 1, 2, 4, 967, 1934, 3868
The factors of 2760 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380, 2760
The HCF of 3868,2760 is 4.
Lets's calculate GCF of 3868,2760
| 2 | 3868, 2760 |
| 2 | 1934, 1380 |
| 967, 690 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3868,2760 By Matching Biggest Common Factor Method
Now, list down the factors of 3868
:1,2,4,967,1934,3868
Now, list down the factors of 2760
:1,2,3,4,5,6,8,10,12,15,20,23,24,30,40,46,60,69,92,115,120,138,184,230,276,345,460,552,690,920,1380,2760
Greatest Common Factor
We found the factors 3868,2760 . The biggest common factor number is the GCF number.
So the greatest common factor 3868,2760 is 4.
Lets's calculate LCM of 684,388
| 2 | 684, 388 |
| 2 | 342, 194 |
| 171, 97 |
∴ So the LCM of the given numbers is 2 x 2 x 171 x 97 = 66348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/66348
Therefore, the GCF of Fractions 3868/684,2760/388 is 4/66348
Least Common Multiple of 684,388 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 684,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,388) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(684,388) x common factors =4 x 1 = 4
LCM(684,388) = ( 684 × 388 ) / 4
LCM(684,388) = 265392 / 4
LCM(684,388) = 66348
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FAQs on GCF of Fractions of 3868/684, 2760/388
1. What is the HCF of 3868,2760?
The HCF of 3868,2760 is 4
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 3868/684, 2760/388?
Answer: GCF of Numerators as per given numbers 3868/684, 2760/388 is
GCF of Numerators i.e. for 3868,2760 is 4
LCM of denominators i.e. for 684,388 is 66348.
Thus, GCF of Fractions is 4/66348.Finally, GCF of Fractions for 3868/684, 2760/388 is 4/66348.