GCF of 1675/406, 1473/902
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1675/406, 1473/902 i.e 1/183106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1675/406, 1473/902.
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 1675/406,1473/902?
Given fractions are 1675/406,1473/902
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 1675/406,1473/902, numerators are 1675,1473
Denominators are 406,902
The GCF of 1675,1473 is 1 .
LCM of 406,902 is 183106.
The greatest common factor of 1675/406,1473/902 = [GCF of 1675,1473]/[LCM of 406,902]= 1/183106
Therefore, the GCF of 1675/406,1473/902 is 1/183106.
To find the highest common factor of 1675,1473, we have to find the factors of both numbers and list the highest common factor.
The factors of 1675 are 1, 5, 25, 67, 335, 1675
The factors of 1473 are 1, 3, 491, 1473
The HCF of 1675,1473 is 1.
Lets's calculate GCF of 1675,1473
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1675,1473 By Matching Biggest Common Factor Method
Now, list down the factors of 1675
:1,5,25,67,335,1675
Now, list down the factors of 1473
:1,3,491,1473
Greatest Common Factor
We found the factors 1675,1473 . The biggest common factor number is the GCF number.
So the greatest common factor 1675,1473 is 1.
Lets's calculate LCM of 406,902
| 2 | 406, 902 |
| 203, 451 |
∴ So the LCM of the given numbers is 2 x 203 x 451 = 183106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183106
Therefore, the GCF of Fractions 1675/406,1473/902 is 1/183106
Least Common Multiple of 406,902 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 406,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,902) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(406,902) x common factors =2 x 1 = 2
LCM(406,902) = ( 406 × 902 ) / 2
LCM(406,902) = 366212 / 2
LCM(406,902) = 183106
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FAQs on GCF of Fractions of 1675/406, 1473/902
1. What is the HCF of 1675,1473?
The HCF of 1675,1473 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 1675/406, 1473/902?
Answer: GCF of Numerators as per given numbers 1675/406, 1473/902 is
GCF of Numerators i.e. for 1675,1473 is 1
LCM of denominators i.e. for 406,902 is 183106.
Thus, GCF of Fractions is 1/183106.Finally, GCF of Fractions for 1675/406, 1473/902 is 1/183106.