GCF of 6463/654, 7838/9090
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6463/654, 7838/9090 i.e 1/990810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6463/654, 7838/9090.
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 6463/654,7838/9090?
Given fractions are 6463/654,7838/9090
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 6463/654,7838/9090, numerators are 6463,7838
Denominators are 654,9090
The GCF of 6463,7838 is 1 .
LCM of 654,9090 is 990810.
The greatest common factor of 6463/654,7838/9090 = [GCF of 6463,7838]/[LCM of 654,9090]= 1/990810
Therefore, the GCF of 6463/654,7838/9090 is 1/990810.
To find the highest common factor of 6463,7838, we have to find the factors of both numbers and list the highest common factor.
The factors of 6463 are 1, 23, 281, 6463
The factors of 7838 are 1, 2, 3919, 7838
The HCF of 6463,7838 is 1.
Lets's calculate GCF of 6463,7838
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6463,7838 By Matching Biggest Common Factor Method
Now, list down the factors of 6463
:1,23,281,6463
Now, list down the factors of 7838
:1,2,3919,7838
Greatest Common Factor
We found the factors 6463,7838 . The biggest common factor number is the GCF number.
So the greatest common factor 6463,7838 is 1.
Lets's calculate LCM of 654,9090
| 2 | 654, 9090 |
| 3 | 327, 4545 |
| 109, 1515 |
∴ So the LCM of the given numbers is 2 x 3 x 109 x 1515 = 990810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/990810
Therefore, the GCF of Fractions 6463/654,7838/9090 is 1/990810
Least Common Multiple of 654,9090 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 654,9090 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,9090) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(654,9090) x common factors =6 x 1 = 6
LCM(654,9090) = ( 654 × 9090 ) / 6
LCM(654,9090) = 5944860 / 6
LCM(654,9090) = 990810
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FAQs on GCF of Fractions of 6463/654, 7838/9090
1. What is the HCF of 6463,7838?
The HCF of 6463,7838 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 6463/654, 7838/9090?
Answer: GCF of Numerators as per given numbers 6463/654, 7838/9090 is
GCF of Numerators i.e. for 6463,7838 is 1
LCM of denominators i.e. for 654,9090 is 990810.
Thus, GCF of Fractions is 1/990810.Finally, GCF of Fractions for 6463/654, 7838/9090 is 1/990810.