GCF of 2847/918, 3830/1683
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2847/918, 3830/1683 i.e 1/10098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2847/918, 3830/1683.
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 2847/918,3830/1683?
Given fractions are 2847/918,3830/1683
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 2847/918,3830/1683, numerators are 2847,3830
Denominators are 918,1683
The GCF of 2847,3830 is 1 .
LCM of 918,1683 is 10098.
The greatest common factor of 2847/918,3830/1683 = [GCF of 2847,3830]/[LCM of 918,1683]= 1/10098
Therefore, the GCF of 2847/918,3830/1683 is 1/10098.
To find the highest common factor of 2847,3830, we have to find the factors of both numbers and list the highest common factor.
The factors of 2847 are 1, 3, 13, 39, 73, 219, 949, 2847
The factors of 3830 are 1, 2, 5, 10, 383, 766, 1915, 3830
The HCF of 2847,3830 is 1.
Lets's calculate GCF of 2847,3830
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2847,3830 By Matching Biggest Common Factor Method
Now, list down the factors of 2847
:1,3,13,39,73,219,949,2847
Now, list down the factors of 3830
:1,2,5,10,383,766,1915,3830
Greatest Common Factor
We found the factors 2847,3830 . The biggest common factor number is the GCF number.
So the greatest common factor 2847,3830 is 1.
Lets's calculate LCM of 918,1683
| 3 | 918, 1683 |
| 3 | 306, 561 |
| 17 | 102, 187 |
| 6, 11 |
∴ So the LCM of the given numbers is 3 x 3 x 17 x 6 x 11 = 10098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10098
Therefore, the GCF of Fractions 2847/918,3830/1683 is 1/10098
Least Common Multiple of 918,1683 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 918,1683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,1683) = 153
common factors(in case of two or more numbers have common factors) = 1
GCF(918,1683) x common factors =153 x 1 = 153
LCM(918,1683) = ( 918 × 1683 ) / 153
LCM(918,1683) = 1544994 / 153
LCM(918,1683) = 10098
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FAQs on GCF of Fractions of 2847/918, 3830/1683
1. What is the HCF of 2847,3830?
The HCF of 2847,3830 is 1
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 2847/918, 3830/1683?
Answer: GCF of Numerators as per given numbers 2847/918, 3830/1683 is
GCF of Numerators i.e. for 2847,3830 is 1
LCM of denominators i.e. for 918,1683 is 10098.
Thus, GCF of Fractions is 1/10098.Finally, GCF of Fractions for 2847/918, 3830/1683 is 1/10098.