GCF of 2730/797, 1865/4868
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2730/797, 1865/4868 i.e 5/3879796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2730/797, 1865/4868.
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 2730/797,1865/4868?
Given fractions are 2730/797,1865/4868
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 2730/797,1865/4868, numerators are 2730,1865
Denominators are 797,4868
The GCF of 2730,1865 is 5 .
LCM of 797,4868 is 3879796.
The greatest common factor of 2730/797,1865/4868 = [GCF of 2730,1865]/[LCM of 797,4868]= 5/3879796
Therefore, the GCF of 2730/797,1865/4868 is 5/3879796.
To find the highest common factor of 2730,1865, we have to find the factors of both numbers and list the highest common factor.
The factors of 2730 are 1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42, 65, 70, 78, 91, 105, 130, 182, 195, 210, 273, 390, 455, 546, 910, 1365, 2730
The factors of 1865 are 1, 5, 373, 1865
The HCF of 2730,1865 is 5.
Lets's calculate GCF of 2730,1865
| 5 | 2730, 1865 |
| 546, 373 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2730,1865 By Matching Biggest Common Factor Method
Now, list down the factors of 2730
:1,2,3,5,6,7,10,13,14,15,21,26,30,35,39,42,65,70,78,91,105,130,182,195,210,273,390,455,546,910,1365,2730
Now, list down the factors of 1865
:1,5,373,1865
Greatest Common Factor
We found the factors 2730,1865 . The biggest common factor number is the GCF number.
So the greatest common factor 2730,1865 is 5.
Lets's calculate LCM of 797,4868
Given numbers has no common factors except 1. So, there LCM is their product i.e 3879796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3879796
Therefore, the GCF of Fractions 2730/797,1865/4868 is 5/3879796
Least Common Multiple of 797,4868 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 797,4868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,4868) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(797,4868) x common factors =1 x 1 = 1
LCM(797,4868) = ( 797 × 4868 ) / 1
LCM(797,4868) = 3879796 / 1
LCM(797,4868) = 3879796
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FAQs on GCF of Fractions of 2730/797, 1865/4868
1. What is the HCF of 2730,1865?
The HCF of 2730,1865 is 5
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 2730/797, 1865/4868?
Answer: GCF of Numerators as per given numbers 2730/797, 1865/4868 is
GCF of Numerators i.e. for 2730,1865 is 5
LCM of denominators i.e. for 797,4868 is 3879796.
Thus, GCF of Fractions is 5/3879796.Finally, GCF of Fractions for 2730/797, 1865/4868 is 5/3879796.