GCF of 2760/978, 6218/3892
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2760/978, 6218/3892 i.e 2/1903188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2760/978, 6218/3892.
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 2760/978,6218/3892?
Given fractions are 2760/978,6218/3892
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 2760/978,6218/3892, numerators are 2760,6218
Denominators are 978,3892
The GCF of 2760,6218 is 2 .
LCM of 978,3892 is 1903188.
The greatest common factor of 2760/978,6218/3892 = [GCF of 2760,6218]/[LCM of 978,3892]= 2/1903188
Therefore, the GCF of 2760/978,6218/3892 is 2/1903188.
To find the highest common factor of 2760,6218, we have to find the factors of both numbers and list the highest common factor.
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 factors of 6218 are 1, 2, 3109, 6218
The HCF of 2760,6218 is 2.
Lets's calculate GCF of 2760,6218
| 2 | 2760, 6218 |
| 1380, 3109 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2760,6218 By Matching Biggest Common Factor Method
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
Now, list down the factors of 6218
:1,2,3109,6218
Greatest Common Factor
We found the factors 2760,6218 . The biggest common factor number is the GCF number.
So the greatest common factor 2760,6218 is 2.
Lets's calculate LCM of 978,3892
| 2 | 978, 3892 |
| 489, 1946 |
∴ So the LCM of the given numbers is 2 x 489 x 1946 = 1903188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1903188
Therefore, the GCF of Fractions 2760/978,6218/3892 is 2/1903188
Least Common Multiple of 978,3892 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 978,3892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,3892) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(978,3892) x common factors =2 x 1 = 2
LCM(978,3892) = ( 978 × 3892 ) / 2
LCM(978,3892) = 3806376 / 2
LCM(978,3892) = 1903188
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FAQs on GCF of Fractions of 2760/978, 6218/3892
1. What is the HCF of 2760,6218?
The HCF of 2760,6218 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 2760/978, 6218/3892?
Answer: GCF of Numerators as per given numbers 2760/978, 6218/3892 is
GCF of Numerators i.e. for 2760,6218 is 2
LCM of denominators i.e. for 978,3892 is 1903188.
Thus, GCF of Fractions is 2/1903188.Finally, GCF of Fractions for 2760/978, 6218/3892 is 2/1903188.