GCF of 5235/208, 6495/891
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5235/208, 6495/891 i.e 15/185328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5235/208, 6495/891.
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 5235/208,6495/891?
Given fractions are 5235/208,6495/891
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 5235/208,6495/891, numerators are 5235,6495
Denominators are 208,891
The GCF of 5235,6495 is 15 .
LCM of 208,891 is 185328.
The greatest common factor of 5235/208,6495/891 = [GCF of 5235,6495]/[LCM of 208,891]= 15/185328
Therefore, the GCF of 5235/208,6495/891 is 15/185328.
To find the highest common factor of 5235,6495, we have to find the factors of both numbers and list the highest common factor.
The factors of 5235 are 1, 3, 5, 15, 349, 1047, 1745, 5235
The factors of 6495 are 1, 3, 5, 15, 433, 1299, 2165, 6495
The HCF of 5235,6495 is 15.
Lets's calculate GCF of 5235,6495
| 3 | 5235, 6495 |
| 5 | 1745, 2165 |
| 349, 433 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 5235,6495 By Matching Biggest Common Factor Method
Now, list down the factors of 5235
:1,3,5,15,349,1047,1745,5235
Now, list down the factors of 6495
:1,3,5,15,433,1299,2165,6495
Greatest Common Factor
We found the factors 5235,6495 . The biggest common factor number is the GCF number.
So the greatest common factor 5235,6495 is 15.
Lets's calculate LCM of 208,891
Given numbers has no common factors except 1. So, there LCM is their product i.e 185328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/185328
Therefore, the GCF of Fractions 5235/208,6495/891 is 15/185328
Least Common Multiple of 208,891 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 208,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(208,891) x common factors =1 x 1 = 1
LCM(208,891) = ( 208 × 891 ) / 1
LCM(208,891) = 185328 / 1
LCM(208,891) = 185328
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FAQs on GCF of Fractions of 5235/208, 6495/891
1. What is the HCF of 5235,6495?
The HCF of 5235,6495 is 15
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 5235/208, 6495/891?
Answer: GCF of Numerators as per given numbers 5235/208, 6495/891 is
GCF of Numerators i.e. for 5235,6495 is 15
LCM of denominators i.e. for 208,891 is 185328.
Thus, GCF of Fractions is 15/185328.Finally, GCF of Fractions for 5235/208, 6495/891 is 15/185328.