GCF of 5834/642, 9010/8665
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5834/642, 9010/8665 i.e 2/5562930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5834/642, 9010/8665.
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 5834/642,9010/8665?
Given fractions are 5834/642,9010/8665
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 5834/642,9010/8665, numerators are 5834,9010
Denominators are 642,8665
The GCF of 5834,9010 is 2 .
LCM of 642,8665 is 5562930.
The greatest common factor of 5834/642,9010/8665 = [GCF of 5834,9010]/[LCM of 642,8665]= 2/5562930
Therefore, the GCF of 5834/642,9010/8665 is 2/5562930.
To find the highest common factor of 5834,9010, we have to find the factors of both numbers and list the highest common factor.
The factors of 5834 are 1, 2, 2917, 5834
The factors of 9010 are 1, 2, 5, 10, 17, 34, 53, 85, 106, 170, 265, 530, 901, 1802, 4505, 9010
The HCF of 5834,9010 is 2.
Lets's calculate GCF of 5834,9010
| 2 | 5834, 9010 |
| 2917, 4505 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5834,9010 By Matching Biggest Common Factor Method
Now, list down the factors of 5834
:1,2,2917,5834
Now, list down the factors of 9010
:1,2,5,10,17,34,53,85,106,170,265,530,901,1802,4505,9010
Greatest Common Factor
We found the factors 5834,9010 . The biggest common factor number is the GCF number.
So the greatest common factor 5834,9010 is 2.
Lets's calculate LCM of 642,8665
Given numbers has no common factors except 1. So, there LCM is their product i.e 5562930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5562930
Therefore, the GCF of Fractions 5834/642,9010/8665 is 2/5562930
Least Common Multiple of 642,8665 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 642,8665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,8665) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(642,8665) x common factors =1 x 1 = 1
LCM(642,8665) = ( 642 × 8665 ) / 1
LCM(642,8665) = 5562930 / 1
LCM(642,8665) = 5562930
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FAQs on GCF of Fractions of 5834/642, 9010/8665
1. What is the HCF of 5834,9010?
The HCF of 5834,9010 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 5834/642, 9010/8665?
Answer: GCF of Numerators as per given numbers 5834/642, 9010/8665 is
GCF of Numerators i.e. for 5834,9010 is 2
LCM of denominators i.e. for 642,8665 is 5562930.
Thus, GCF of Fractions is 2/5562930.Finally, GCF of Fractions for 5834/642, 9010/8665 is 2/5562930.