GCF of 5345/258, 8779/3300
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5345/258, 8779/3300 i.e 1/141900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5345/258, 8779/3300.
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 5345/258,8779/3300?
Given fractions are 5345/258,8779/3300
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 5345/258,8779/3300, numerators are 5345,8779
Denominators are 258,3300
The GCF of 5345,8779 is 1 .
LCM of 258,3300 is 141900.
The greatest common factor of 5345/258,8779/3300 = [GCF of 5345,8779]/[LCM of 258,3300]= 1/141900
Therefore, the GCF of 5345/258,8779/3300 is 1/141900.
To find the highest common factor of 5345,8779, we have to find the factors of both numbers and list the highest common factor.
The factors of 5345 are 1, 5, 1069, 5345
The factors of 8779 are 1, 8779
The HCF of 5345,8779 is 1.
Lets's calculate GCF of 5345,8779
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5345,8779 By Matching Biggest Common Factor Method
Now, list down the factors of 5345
:1,5,1069,5345
Now, list down the factors of 8779
:1,8779
Greatest Common Factor
We found the factors 5345,8779 . The biggest common factor number is the GCF number.
So the greatest common factor 5345,8779 is 1.
Lets's calculate LCM of 258,3300
| 2 | 258, 3300 |
| 3 | 129, 1650 |
| 43, 550 |
∴ So the LCM of the given numbers is 2 x 3 x 43 x 550 = 141900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141900
Therefore, the GCF of Fractions 5345/258,8779/3300 is 1/141900
Least Common Multiple of 258,3300 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 258,3300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,3300) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(258,3300) x common factors =6 x 1 = 6
LCM(258,3300) = ( 258 × 3300 ) / 6
LCM(258,3300) = 851400 / 6
LCM(258,3300) = 141900
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FAQs on GCF of Fractions of 5345/258, 8779/3300
1. What is the HCF of 5345,8779?
The HCF of 5345,8779 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 5345/258, 8779/3300?
Answer: GCF of Numerators as per given numbers 5345/258, 8779/3300 is
GCF of Numerators i.e. for 5345,8779 is 1
LCM of denominators i.e. for 258,3300 is 141900.
Thus, GCF of Fractions is 1/141900.Finally, GCF of Fractions for 5345/258, 8779/3300 is 1/141900.