GCF of 6175/209, 3908/902
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6175/209, 3908/902 i.e 1/17138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6175/209, 3908/902.
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 6175/209,3908/902?
Given fractions are 6175/209,3908/902
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 6175/209,3908/902, numerators are 6175,3908
Denominators are 209,902
The GCF of 6175,3908 is 1 .
LCM of 209,902 is 17138.
The greatest common factor of 6175/209,3908/902 = [GCF of 6175,3908]/[LCM of 209,902]= 1/17138
Therefore, the GCF of 6175/209,3908/902 is 1/17138.
To find the highest common factor of 6175,3908, we have to find the factors of both numbers and list the highest common factor.
The factors of 6175 are 1, 5, 13, 19, 25, 65, 95, 247, 325, 475, 1235, 6175
The factors of 3908 are 1, 2, 4, 977, 1954, 3908
The HCF of 6175,3908 is 1.
Lets's calculate GCF of 6175,3908
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6175,3908 By Matching Biggest Common Factor Method
Now, list down the factors of 6175
:1,5,13,19,25,65,95,247,325,475,1235,6175
Now, list down the factors of 3908
:1,2,4,977,1954,3908
Greatest Common Factor
We found the factors 6175,3908 . The biggest common factor number is the GCF number.
So the greatest common factor 6175,3908 is 1.
Lets's calculate LCM of 209,902
| 11 | 209, 902 |
| 19, 82 |
∴ So the LCM of the given numbers is 11 x 19 x 82 = 17138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17138
Therefore, the GCF of Fractions 6175/209,3908/902 is 1/17138
Least Common Multiple of 209,902 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 209,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,902) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(209,902) x common factors =11 x 1 = 11
LCM(209,902) = ( 209 × 902 ) / 11
LCM(209,902) = 188518 / 11
LCM(209,902) = 17138
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FAQs on GCF of Fractions of 6175/209, 3908/902
1. What is the HCF of 6175,3908?
The HCF of 6175,3908 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 6175/209, 3908/902?
Answer: GCF of Numerators as per given numbers 6175/209, 3908/902 is
GCF of Numerators i.e. for 6175,3908 is 1
LCM of denominators i.e. for 209,902 is 17138.
Thus, GCF of Fractions is 1/17138.Finally, GCF of Fractions for 6175/209, 3908/902 is 1/17138.