GCF of 890/498, 7854/943
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 890/498, 7854/943 i.e 2/469614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 890/498, 7854/943.
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 890/498,7854/943?
Given fractions are 890/498,7854/943
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 890/498,7854/943, numerators are 890,7854
Denominators are 498,943
The GCF of 890,7854 is 2 .
LCM of 498,943 is 469614.
The greatest common factor of 890/498,7854/943 = [GCF of 890,7854]/[LCM of 498,943]= 2/469614
Therefore, the GCF of 890/498,7854/943 is 2/469614.
To find the highest common factor of 890,7854, we have to find the factors of both numbers and list the highest common factor.
The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890
The factors of 7854 are 1, 2, 3, 6, 7, 11, 14, 17, 21, 22, 33, 34, 42, 51, 66, 77, 102, 119, 154, 187, 231, 238, 357, 374, 462, 561, 714, 1122, 1309, 2618, 3927, 7854
The HCF of 890,7854 is 2.
Lets's calculate GCF of 890,7854
| 2 | 890, 7854 |
| 445, 3927 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 890,7854 By Matching Biggest Common Factor Method
Now, list down the factors of 890
:1,2,5,10,89,178,445,890
Now, list down the factors of 7854
:1,2,3,6,7,11,14,17,21,22,33,34,42,51,66,77,102,119,154,187,231,238,357,374,462,561,714,1122,1309,2618,3927,7854
Greatest Common Factor
We found the factors 890,7854 . The biggest common factor number is the GCF number.
So the greatest common factor 890,7854 is 2.
Lets's calculate LCM of 498,943
Given numbers has no common factors except 1. So, there LCM is their product i.e 469614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/469614
Therefore, the GCF of Fractions 890/498,7854/943 is 2/469614
Least Common Multiple of 498,943 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 498,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(498,943) x common factors =1 x 1 = 1
LCM(498,943) = ( 498 × 943 ) / 1
LCM(498,943) = 469614 / 1
LCM(498,943) = 469614
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FAQs on GCF of Fractions of 890/498, 7854/943
1. What is the HCF of 890,7854?
The HCF of 890,7854 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 890/498, 7854/943?
Answer: GCF of Numerators as per given numbers 890/498, 7854/943 is
GCF of Numerators i.e. for 890,7854 is 2
LCM of denominators i.e. for 498,943 is 469614.
Thus, GCF of Fractions is 2/469614.Finally, GCF of Fractions for 890/498, 7854/943 is 2/469614.