GCF of 1782/288, 9847/2967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1782/288, 9847/2967 i.e 1/284832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1782/288, 9847/2967.
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 1782/288,9847/2967?
Given fractions are 1782/288,9847/2967
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 1782/288,9847/2967, numerators are 1782,9847
Denominators are 288,2967
The GCF of 1782,9847 is 1 .
LCM of 288,2967 is 284832.
The greatest common factor of 1782/288,9847/2967 = [GCF of 1782,9847]/[LCM of 288,2967]= 1/284832
Therefore, the GCF of 1782/288,9847/2967 is 1/284832.
To find the highest common factor of 1782,9847, we have to find the factors of both numbers and list the highest common factor.
The factors of 1782 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 297, 594, 891, 1782
The factors of 9847 are 1, 43, 229, 9847
The HCF of 1782,9847 is 1.
Lets's calculate GCF of 1782,9847
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1782,9847 By Matching Biggest Common Factor Method
Now, list down the factors of 1782
:1,2,3,6,9,11,18,22,27,33,54,66,81,99,162,198,297,594,891,1782
Now, list down the factors of 9847
:1,43,229,9847
Greatest Common Factor
We found the factors 1782,9847 . The biggest common factor number is the GCF number.
So the greatest common factor 1782,9847 is 1.
Lets's calculate LCM of 288,2967
| 3 | 288, 2967 |
| 96, 989 |
∴ So the LCM of the given numbers is 3 x 96 x 989 = 284832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284832
Therefore, the GCF of Fractions 1782/288,9847/2967 is 1/284832
Least Common Multiple of 288,2967 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 288,2967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,2967) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(288,2967) x common factors =3 x 1 = 3
LCM(288,2967) = ( 288 × 2967 ) / 3
LCM(288,2967) = 854496 / 3
LCM(288,2967) = 284832
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FAQs on GCF of Fractions of 1782/288, 9847/2967
1. What is the HCF of 1782,9847?
The HCF of 1782,9847 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 1782/288, 9847/2967?
Answer: GCF of Numerators as per given numbers 1782/288, 9847/2967 is
GCF of Numerators i.e. for 1782,9847 is 1
LCM of denominators i.e. for 288,2967 is 284832.
Thus, GCF of Fractions is 1/284832.Finally, GCF of Fractions for 1782/288, 9847/2967 is 1/284832.