GCF of 3235/819, 8967/208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3235/819, 8967/208 i.e 1/13104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3235/819, 8967/208.
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 3235/819,8967/208?
Given fractions are 3235/819,8967/208
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 3235/819,8967/208, numerators are 3235,8967
Denominators are 819,208
The GCF of 3235,8967 is 1 .
LCM of 819,208 is 13104.
The greatest common factor of 3235/819,8967/208 = [GCF of 3235,8967]/[LCM of 819,208]= 1/13104
Therefore, the GCF of 3235/819,8967/208 is 1/13104.
To find the highest common factor of 3235,8967, we have to find the factors of both numbers and list the highest common factor.
The factors of 3235 are 1, 5, 647, 3235
The factors of 8967 are 1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967
The HCF of 3235,8967 is 1.
Lets's calculate GCF of 3235,8967
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3235,8967 By Matching Biggest Common Factor Method
Now, list down the factors of 3235
:1,5,647,3235
Now, list down the factors of 8967
:1,3,7,21,49,61,147,183,427,1281,2989,8967
Greatest Common Factor
We found the factors 3235,8967 . The biggest common factor number is the GCF number.
So the greatest common factor 3235,8967 is 1.
Lets's calculate LCM of 819,208
| 13 | 819, 208 |
| 63, 16 |
∴ So the LCM of the given numbers is 13 x 63 x 16 = 13104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13104
Therefore, the GCF of Fractions 3235/819,8967/208 is 1/13104
Least Common Multiple of 819,208 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 819,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,208) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(819,208) x common factors =13 x 1 = 13
LCM(819,208) = ( 819 × 208 ) / 13
LCM(819,208) = 170352 / 13
LCM(819,208) = 13104
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FAQs on GCF of Fractions of 3235/819, 8967/208
1. What is the HCF of 3235,8967?
The HCF of 3235,8967 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 3235/819, 8967/208?
Answer: GCF of Numerators as per given numbers 3235/819, 8967/208 is
GCF of Numerators i.e. for 3235,8967 is 1
LCM of denominators i.e. for 819,208 is 13104.
Thus, GCF of Fractions is 1/13104.Finally, GCF of Fractions for 3235/819, 8967/208 is 1/13104.